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SPIRES-BOOKS: FIND KEYWORD GAME THEORY/MATHEMATICAL METHODS *END*INIT* use /tmp/qspiwww.webspi1/21443.94 QRY 131.225.70.96 . find keyword game theory/mathematical methods ( in books using www Cover
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Call number:9783319510347:ONLINE Show nearby items on shelf
Title:Network Games, Control, and Optimization Proceedings of NETGCOOP 2016, Avignon, France
Author(s):
Date:2017
Size:1 online resource (XIV, 234 p. 49 illus., 38 illus. in color p.)
Contents:Altman, E., Jain, A., Hayel, Y., Finite Improvement Property in a Stochastic Game Arising in Competition over Popularity in Social Networks -- Altman, E., Jain, A., Shimkin, N., Touati, C., Overview on Dynamic Games for Analyzing
Competition in the Internet and in Online Social Networks -- Altman, E., Touati, C., Load Balancing Congestion Games and their Asymptotic Behavior -- Bachmann, I., Morales, F., Silva, A., Bustos-Jimenez, J., Go-Index: Applying Supply
Networks Principles as Internet Robustness Metrics -- Belhadj Amor, S., Perlaza, S., Decentralized K-User Gaussian Multiple Access Channels -- Berri, S., Varma, V., Lasaulce, S., Radjef, M., Correlated Equilibria in Wireless Power
Control Games -- Chorppath, A., Zappone, A., Jorswieck, E., Alpcan, T., An Energy-Efficiency Game in Relay-Assisted D2D Networks with Malicious Devices -- Courcoubetis, C., Dimakis, A., Kanakakis, M., Minimally Intrusive Server
Policies for Background Data Transfers -- De Pellegrini, F., Massaro, A., Goratti, L., Rachid, E., Bounded Generalized Kelly Mechanism for Multi-Tenant Caching in Mobile Edge Clouds -- Douros, V., Toumpis, S., Polyzos, G., Power
Control and Bargaining for Cellular Operator Revenue Increase under Licensed Spectrum Sharing -- Grammatico, S., An Incentive Mechanism for Agents Playing Competitive Aggregative Games -- Hamidouche, K., Saad, W., Debbah, M.,
Multi-Games for LTE and WiFi Coexistence over Unlicensed Channels -- Hasan, C., Marina, M., Energy-Efficient User Association in Broadcast Transmission -- Ju, M., Zhou, F., Xiao, S., Torres-Moreno, J., Spectrum Shared p-Cycle Design in
Elastic Optical Networks with/without Spectrum Conversion Capabilities -- Chaitanya, A., Mukherji, U., Sharma, V., Learning Equilibria of a Stochastic Game on Gaussian Interference Channels with Incomplete Information -- Legenvre, F.,
Altman, E., Hayal, Y., Potential Game Approach to Virus Attack in Network General Topology -- Marcastel, A., Belmega, E., Mertikopoulos, P., Fijalkow, I., Interfernce Mitigation via Pricing in Time-Varying Cognitive Radio Systems --
Silva, A., Opinion Manipulation in Social Networks -- Taynitskiy, V., Gubar, E., Zhu, Q., Optimal Security Policy for Protection against Heterogeneous Malware -- Wu, H., Zhou, F., Zhu, Z., Chen, Y., An Experimental Comparison of
Routing and Spectrum Assignment Algorithms in Elastic Optical Networks -- Zhang, C., Varma, V., Lasaulce, S., Robust Power Modulation for Channel State Information Exchange
ISBN:9783319510347
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Computer science , Game theory , System theory , Computer mathematics , Applied mathematics , Engineering mathematics , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Systems Theory, Control , Mathematical Applications in Computer Science , Math Applications in Computer Science , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9789811005190:ONLINE Show nearby items on shelf
Title:Recent Advances in Mathematical Sciences Selected Papers from ICREM7 2015
Author(s):
Date:2016
Size:1 online resource (109 p.)
Note:10.1007/978-981-10-0519-0
Contents:Chapter 1: Counting Trees and Rooted Trees with Applications -- Chapter 2: Boundedness and Stability of Leslie-Gower Model with Sokol-Howell Functional Response -- Chapter 3: Fifth order Four Stage Explicit Trigonometrically-fitted Runge–Kutta– Nystrӧm Methods -- Chapter 4: Modified Homotopy Perturbation Method For Fredholm-Volterra Integro-Differential Equation -- Chapter 5: Simultaneous Effects of Soret and Dufour on the Unsteady Stagnation Point Flow of Micropolar Fluid towards a Permeable S tretching Sheet -- Chapter 6: One-Step Implicit Hybrid Method for Solving Semi-Explicit Index-1 Differential Algebraic Equations -- Chapter 7: An Artificial Intelligence Strategy for the Prediction of Wind Speed and Direction in Sarawak for Wind Energy Ma pping -- Chapter 8: Stability Analysis of Dengue Disease Using Host – Vector Model -- Chapter 9: Simple Motion Evasion Differential Game of One Pursuer and One Evader.
ISBN:9789811005190
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Mathematical analysis , Analysis (Mathematics) , Game theory , Geometry , Operations research , Management science , Mathematical physics , Mathematics , Analysis , Mathematical Physics , Algebra , Geometry , Operations Research, Management Science , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-2016-9783319280141:ONLINE Show nearby items on shelf
Title:Advances in Dynamic and Evolutionary Games Theory, Applications, and Numerical Methods
Author(s):
Date:2016
Size:1 online resource (21 p.)
Note:10.1007/978-3-319-28014-1
Contents:Dynamic Games with Perfect Information -- Dynamic Admission Game into an M/M/1 Queue.-Methodological Issues in Analyzing Market Dynamics -- Stochastic Games with Signals -- Nonlinear and Multiplayer Evolutionary Games -- A Zero-Sum Game Between the Network Designer and an Adversary in Consensus Protocols -- Maximal Stable Bridge in Game with Simple Motions in the Plane -- Linear-Quadratic Gaussian Dynamic Games with a Control-Sharing Information Pattern -- Pursuit-Evasion Game of Kind between Hybri d Players -- A Double-Sided Jamming Game with Resource Constraints -- Speculative Constraints on Oligopoly -- Evolutionary Stability of Dimorphic Population States -- A Game-Theoretical Approach to Microbial Coexistence -- Computing α-Robust Equilibria i n Two Integrated Assessment Models for Climate Change -- A Robust Noncooperative Meta-Game for Climate Negotiation in Europe
ISBN:9783319280141
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Annals of the International Society of Dynamic Games : 14
Keywords: Mathematics , Game theory , Applied mathematics , Engineering mathematics , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2014-9783319026572:ONLINE Show nearby items on shelf
Title:Mathematical Models and Methods for Planet Earth [electronic resource]
Author(s): Alessandra Celletti
Ugo Locatelli
Tommaso Ruggeri
Elisabetta Strickland
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop MathematicalModels and Methods for Planet Earth, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, fromthe study of tumor growth to sociological problems. I n all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigatethese problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory
Contents:1 Christiane Rousseau: Mathematics of Planet Earth
2 Laure Saint
Raymond: The role of boundary layers in the large
scale ocean circulation
3 Paolo Dai Pra: Noise
induced periodicity: some stochastic models for complex biological systems
4 Andrea Tosin: Kinetic equations and stochastic game theory for social systems
5 Luigi Preziosi: Using mathematical modelling as a virtual microscope to support biomedical research
6 Adriano Barra: Ferromagnetic models for cooperative behavior: Revisiting Universality in complex phenomena
7 Ettore Perozzi:
ISBN:9783319026572
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Environmental sciences , Geography , Mathematical physics
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Call number:SPRINGER-2013-9783319026909:ONLINE Show nearby items on shelf
Title:Advances in Dynamic Games [electronic resource] : Theory, Applications, and Numerical Methods
Author(s): Vlastimil Kivan
Georges Zaccour
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields asvaried as mathematical bio logy, environmental management, economics, engineering, guidance and control, and social interaction. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advancedgraduate students. Advances in Dynamic Games presents state-of-the-art research that serves as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in theirrespective disciplines, are outgrowths of presentations originally given at the 15th International Symposium of Dynamic Games and Applications held July 1922, 2012, in Byice, Czech Republic
Note:Springer eBooks
Contents:Part I Dynamic Games: Theory and Computation
1 Relative Value Iteration for Stochastic Differential Games
2 OPTGAME3: A Dynamic Game Solver and an Economic Example
3 Dynamic Programming Approach to Aircraft Control in a Windshear
4 Existence of Optimal Controls for a Bi
Level Optimal Control Problem
5 Static Linear
Quadratic Gaussian Games
6 Interior Convergence Under Payoff Monotone Selections and Proper Equilibrium: Application to Equilibrium Selection
Part II Dynamic Games: Applications
7 Should a Retailer Support a Quality Improvements Strategy?
8 A Large Populat
ISBN:9783319026909
Series:e-books
Series:SpringerLink (Online service)
Series:Annals of the International Society of Dynamic Games : v13
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Engineering mathematics , Economics, Mathematical
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Call number:SPRINGER-2013-9780817683559:ONLINE Show nearby items on shelf
Title:Advances in Dynamic Games [electronic resource] : Theory, Applications, and Numerical Methods for Differential and Stochastic Games
Author(s): Pierre Cardaliaguet
Ross Cressman
Date:2013
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions,written by experts in thei r respective disciplines, are outgrowths of presentations originally given at the 14th International Symposium of Dynamic Games and Applications held in Banff. Advances in Dynamic Games covers a variety oftopics, ranging from evolutionary games, theoretic al developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as mathematical biology, environmental management, finance andeconomics, engineering, guidance and control, and social interaction. Featured throughout are valuable tools and resources for researchers, practitioners, and graduate students interested in dynamic games and their applications tomathematics, engineering, economics, and management science
Note:Springer eBooks
Contents:Part I Evolutionary Games
1 Some Generalizations of a Mutual Mate Choice Problem with Age Preferences
2 Signalling Victory to Ensure Dominance: A Continuous Model
3 Evolutionary Games for Multiple Access Control
4 Join Forces or Cheat: Evolutionary Analysis of a Consumer
Resource System
Part II Dynamic and Differential Games: Theoretical Developments
5 Strong Strategic Support of Cooperative Solutions in Differential Games
6 Characterization of Feedback Nash Equilibrium for Differential Games
7 Nash Equilibrium Payoffs in Mixed Strategies
8 A Penalty Method Approach
ISBN:9780817683559
Series:e-books
Series:SpringerLink (Online service)
Series:Annals of the International Society of Dynamic Games : v12
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Engineering mathematics , Economics, Mathematical
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Call number:SPRINGER-2012-9789491216473:ONLINE Show nearby items on shelf
Title:Stochastic Differential Games. Theory and Applications [electronic resource]
Author(s): Kandethody M Ramachandran
Chris P Tsokos
Date:2012
Publisher:Paris : Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers toanalyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalizedfrom the pioneering work on differential g ames by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory,and highlight some numerical methods, along with some relevant ap plications. Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systemstheory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich andchallenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theo ry to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumannand Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction
Note:Springer eBooks
Contents:Introduction, Survey and Background Material
Stochastic Linear Pursuit
Evasion Game
Two Person Zero
Sum Differential Games
General Case
Formal Solutions for Some Classes of Stochastic Linear Pursuit
N
Person Noncooperative Differential Games
Weak Convergence in Two Player Stochastic Differential Games
Weak Convergence in Many Player Games
Some Numerical Methods
Applications to Finance
ISBN:9789491216473
Series:e-books
Series:SpringerLink (Online service)
Series:Atlantis Studies in Probability and Statistics, 1879-6893 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Economics, Mathematical
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Call number:SPRINGER-2012-9783642239229:ONLINE Show nearby items on shelf
Title:A Concise Introduction to the Statistical Physics of Complex Systems [electronic resource]
Author(s): Eric Bertin
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Brief
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642239229
Series:SpringerBriefs in Complexity
Series:e-books
Keywords: Statistical Physics, Dynamical Systems and Complexity , Complexity , Game Theory, Economics, Social and Behav. Sciences , Game Theory/Mathematical Methods , Biological Networks, Systems Biology
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Call number:SPRINGER-2012-9781461418917:ONLINE Show nearby items on shelf
Title:Fractal-Based Methods in Analysis [electronic resource]
Author(s): Herb Kunze
Davide La Torre
Franklin Mendivil
Edward R Vrscay
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The idea of modeling the behavior of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscaleobjects they very often desc ribe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations anddynamical systems. Fractal-Based Methods in Analysis draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of thechapters. For each topic the theoretical framework is carefully explained using exa mples and applications. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includesmany exercises. This chapter, along with the three background appendices on topological and metric spaces, m easure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for agraduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. This boo k is intended for graduate students and researchers in applied mathematics, engineering and socialsciences. Herb Kunze is a Professor in the Department of Mathematics and Statistics, University of Guelph. Davide La Torre is an Associate Professor in the Department of Economics, Business and Statistics, University of Milan.Franklin Mendivil is a Professor in the Department ofMathematics and Statistics, Acadia University.Edward R. Vrscay is a Professor in the Department of Applied Mathematics, Faculty of M athematics, University of Waterloo. A majorfocus of their research is fractals and their applications
Note:Springer eBooks
Contents:What do we mean by Fractal
Based Analysis
Basic IFS
IFS on Spaces of Functions
IFS, Multifunctions, and Measure
Valued Functions
IFS on Spaces of Measures
The Chaos Game
Inverse Problems and Fractal
Based Methods
Further Developments and Extensions
References
Index
ISBN:9781461418917
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Mathematical physics
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Call number:SPRINGER-2012-9780817683221:ONLINE Show nearby items on shelf
Title:Game Theory for Control of Optical Networks [electronic resource]
Author(s): Lacra Pavel
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optical networks epitomize complex communication systems, and they comprise the Internets infrastructural backbone. The first of its kind, this book develops the mathematical framework needed from a control perspective totackle various game-theoretic al problems in optical networks. In doing so, it aims to help design control algorithms that optimally allocate the resources of these networks. The books main focus is a control-theoretic analysis ofdynamic systems arising from game formulations with non -separable player utilities and with coupled as well as propagated (modified) constraints. Compared with the conventional static optimization approach, this provides a morerealistic model of how optical networks operate. Its methods and techniques could b e used to improve networks functionality and adaptivity, potentially enhancing thespeed and reliability of communications throughout the world.With its fresh problem-solving approach, Game Theory for Control of Optical Networks is a unique resource for re searchers, practitioners, and graduate students in applied mathematics and systems/control engineering, as well as those inelectrical and computer engineering
Note:Springer eBooks
Contents:Preface
1 Introduction
Part I Game Theory Essentials
2 Basics of Game Theory
3 Matrix Games
4 Games with Continuous Action Spaces
5 Computational Results for Games with Coupled Constraints
Part II Game Theory in Optical Networks
6 Optical Networks: Background and Modeling
7Games in Point
to
Point Topologies
8 Games in Network Toplogies
9 Nash Equilibria Efficiency and Numerical Studies
10 Simulations and Experimental Studies
Part III Robustness, Delay Effects, and Other Problems
11 Robustness and Delay Effects onNetwork Games
12 Games for Routing
ISBN:9780817683221
Series:e-books
Series:SpringerLink (Online service)
Series:Static & Dynamic Game Theory: Foundations & Applications
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Algorithms , Mathematical optimization , Telecommunication
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Call number:SPRINGER-2011-9781441975850:ONLINE Show nearby items on shelf
Title:Fixed Point Theory in Ordered Sets and Applications [electronic resource] : From Differential and Integral Equations to Game Theory
Author(s): Siegfried Carl
Seppo Heikkil
Date:2011
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. It begins with a discussion of somesimple examples of th e order-theoretic fixed point results along with simple applications from each of the diverse fields. The fixed point theory is then developed and preliminary results on multi-valued variational inequalitiesregarding the topological and order-theoretical structure of solution sets are covered. This is followed by more advanced material which demonstrates the power of the developed fixed point theory. In the treatment of the applications awide range of mathematical theories and methods from nonlinear analy sis and integration theory are applied an outline of which has been given in an appendix chapter to make the book self-contained. Graduate students and researchers innonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful
Note:Springer eBooks
Contents:Preface
Introduction
Fundamental Order
Theoretic Principles
Multi
Valued Variational Inequalities
Discontinuous Multi
Valued Elliptic Problems
Discontinutous Multi
Valued Evolutionary Problems
Banach
Valued Ordinary Differential Equations
Banach
Valued Integral Equations
Game Theory
Appendix
List of Symbols
References
Index
ISBN:9781441975850
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Economics, Mathematical
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Call number:SPRINGER-2011-9780817680893:ONLINE Show nearby items on shelf
Title:Advances in Dynamic Games [electronic resource] : Theory, Applications, and Numerical Methods for Differential and Stochastic Games
Author(s): Michle Breton
Krzysztof Szajowski
Date:2011
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selectedcontributions, written by expert s in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocaw. The book covers a variety oftopics, ranging from theoretical developments in game the ory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, andsocial interaction. The book is thematically organized into five parts: * The oretical developments in differential and dynamic games * Pursuit-evasion and guidance games * Evolutionary games * Stability and time consistency incooperative games * Applications and numerical approaches in environmental and renewable resource manageme nt, finance, insurance and economics, supply chains, and telecommunications. Featured throughout are useful tools and valuableresources for researchers, practitioners, and graduate students interested in dynamic games and their applications in applied mat hematics, engineering, economics, and management science. Also included in the volume is a special tributeto Arik Melikyan, honoring his memory and the many contributions he made to the field of dynamic games
Note:Springer eBooks
Contents:Preface
Contents
A Tribute to Arik Melikyan
Part I: Dynamic Games: Theoretical Developments
Part II: Pursuit Evasion Games
Part III: Evolutionary Games
Part IV: Cooperative Games
Part V: Applications and Numerical Approaches
ISBN:9780817680893
Series:e-books
Series:SpringerLink (Online service)
Series:Annals of the International Society of Dynamic Games : v11
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Genetics Mathematics , Engineering mathematics , Economics, Mathematical
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Call number:SPRINGER-2010-9780387791487:ONLINE Show nearby items on shelf
Title:Linear Optimization [electronic resource] : The Simplex Workbook
Author(s): Glenn Hurlbert
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This undergraduate textbook is written for a junior/senior level course on linear optimization. Unlike other texts, the treatment allows the use of the modified Moore method approach by working examples and proofopportunities into the text in order t o encourage students to develop some of the content through their own experiments and arguments while reading the text. Additionally, the focus is on the mathematics underlying the ideas ofoptimizing linear functions under linear constraints and the algor ithms used to solve them. In particular, the author uses the Simplex Algorithm to motivate these concepts. The text progresses at a gentle and inviting pace. Thepresentation is driven by numerous examples and illustrations. Ample exercises are provided at the end of each chapter for mastering the material. Opportunities for integrating Maple (or similar) software are included in the book. Theauthors own WebSim software can be freely downloaded from his website for pedagogical use. The teacher's version of the text contains solutions embedded within the text, rather than in an appendix. It also has extra material andsuggestions for the teachers benefit. Junior/senior level undergraduate students will benefit from the book, as will beginning graduate studen ts. Future secondary school mathematics teachers will also find this book useful. ArizonaState University Professor Glenn H. Hurlbert has published nearly 50 articles in graph theory, combinatorics, and optimization, and has been the recipient of numerous teaching and mentoring awards from ASU, the ASU Parents Association,the School of Mathematical and Statistical Sciences, and the Mathematical Association of America
Note:Springer eBooks
Contents:Introduction
The Simplex Algorithm
Geometry
The Duality Theorem
Matrix Implementation
General Form
Unsolvable Systems
Geometry Revisited
Game Theory
Network Implementation
Combinatorics
Economics
Integer Optimization
Appendix A: Linear Algebra Overview
Appendix B: The Equivalence of the Auxiliary and Shortcut Methods
Appendix C: Complexity
Appendix D: LOP Catalog
ISBN:9780387791487
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algorithms , Combinatorics , Mathematical optimization , Operations research
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Call number:SPRINGER-2009-9780387789071:ONLINE Show nearby items on shelf
Title:Handbook of Applied Analysis [electronic resource]
Author(s): Sophia Th Kyritsi-Yiallourou
Nikolaos S Papageorgiou
Date:2009
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate thedevelopment of mathematic al models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines. This self-contained, comprehensive handbook provides an in-depthexamination of important theoretical methods and proc edures in applied analysis. Unique features of the Handbook of Applied Analysis: Presents an accessible introduction to modern analysis, while still serving as a useful referencefor researchers and practitioners Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinearboundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equ ations Serves as a complete guide to the theory of nonlinear analysis Includes numerous examples that demonstrate and expandupon the topics presented Suggests many directions for further research and study. In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields.These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working with nonlinear analysis
Note:Springer eBooks
Contents:Smooth and Nonsmooth Calculus
Extremal Problems and Optimal Control
Nonlinear Operators and Fixed Points
Critical Point Theory and Variational Methods
Boundary Value ProblemsHamiltonian Systems
Multivalued Analysis
Economic Equilibrium and Optimal Economic Planning
Game Theory
Uncertainty, Information, Decision Making
Evolution Equations
ISBN:9780387789071
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v19
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2008-9783540783626:ONLINE Show nearby items on shelf
Title:Multiscale Problems in the Life Sciences [electronic resource] : From Microscopic to Macroscopic
Author(s): Jacek Banasiak
Mark A. J Chaplain
Jacek Mikisz
Vincenzo Capasso
Mirosaw Lachowicz
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of ahierarchy of models of comp lex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between differentmathematical and scientific schools, for solving clas ses of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and spacescales, especially with respect to computational affordability. As a resul t the content has a rather general character the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory,continuum theory and game theory
Note:Springer eBooks
Contents:Preface by Vincenzo Capasso and Miroslaw Lachowicz
Jacek Banasiak: Positivity in Natural Sciences
Vincenzo Capasso and Daniela Morale Rescaling Stochastic Processes: Asymptotics
Mark A.J. Chaplain: Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation
Miroslaw Lachowicz: Links Between Microscopic and Macroscopic Descriptions
Jacek Miekisz: Evolutionary Game Theory and Population Dynamics
ISBN:9783540783626
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1940
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Differential equations, partial , Distribution (Probability theory)
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Call number:SPRINGER-2008-9780817647575:ONLINE Show nearby items on shelf
Title:H-Optimal Control and Related Minimax Design Problems [electronic resource] : A Dynamic Game Approach
Author(s): Tamer Baar
Pierre Bernhard
Date:2008
Edition:Second Edition
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:I believe that the authors have written a first-class book which can be used for a second or third year graduate level course in the subject... Researchers working in the area will certainly use the book as a standardreference... Given how well the b ook is written and organized, it is sure to become one of the major texts in the subject in the years to come, and it is highly recommended to both researchers working in the field, and those who wantto learn about the subject. SIAM Review (Review of the First Edition) This book is devoted to one of the fastest developing fields in modern control theory---the so-called 'H-infinity optimal control theory'... In the authors'opinion 'the theory is now at a stage where it can easily be incorporated into a sec ond-level graduate course in a control curriculum'. It seems that this book justifies this claim. Mathematical Reviews (Review of the FirstEdition) This work is a perfect and extensive research reference covering the state-space techniques for solving lin ear as well as nonlinear H-infinity control problems. IEEE Transactions on Automatic Control (Review of theSecond Edition) The book, based mostly on recent work of the authors, is written on a good mathematical level. Many results in it are original, inte resting, and inspirational...The book can be recommended to specialists and graduatestudents working in the development of control theory or using modern methods for controller design. Mathematica Bohemica (Review of the Second Edition) This book is a sec ond edition of this very well-known text on H-infinitytheory...This topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with this important theoretical development in applied mathematics and control. Short BookReviews (Review of the Second Edition) The book can be recommended to mathematicians specializing in control theory and dynamic (differential) games. It
Note:Springer eBooks
Contents:A General Introduction to Minimax (H?
Optimal) Designs
Basic Elements of Static and Dynamic Games
The Discrete
Time Minimax Design Problem with Perfect
State Measurements
Continuous
Time Systems with Perfect
State Measurements
The Continuous
Time Problem with Imperfect
State Measurements
The Discrete
Time Problem with Imperfect
State Measurements
Minimax Estimators and Performance Levels
Robustness to Regular and Singular Perturbations
Appendix A: Conjugate Points and Existence of Value
Appendix B: Danskins Theorem
ISBN:9780817647575
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics, 2197-1803
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization
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Call number:SPRINGER-2008-9780817647131:ONLINE Show nearby items on shelf
Title:Selected Topics in Cancer Modeling [electronic resource] : Genesis, Evolution, Immune Competition, and Therapy
Author(s): Elena Angelis
Mark A. J Chaplain
Nicola Bellomo
Date:2008
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge iscreating multiscale m odels that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined inthis work. Written by first-rate researcher s in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzingcancer phenomena. Topics covered include: * Genetic and epigenetic pa thways to colon cancer * A game theoretical perspective on the somatic evolution of cancer * Nonlinear modeling and simulation of tumor growth * Tumor cords and theirresponse to anticancer agents * Modeling diffusely invading brain tumors * Multiphase mod els of tumor growth * Mathematical modeling of breast carcinogenesis * Predictive models in tumor immunology * Multiscale modeling of solid tumorgrowth Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and gradua te students in applied mathematics, mathematical biology, and related fields. The book has an overall aim of quantitative,predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for pati ents
Note:Springer eBooks
Contents:Preface
List of Contributors
Genetic and Epigenetic Pathways to Colon Cancer: Relating Experimental Evidence with Modeling
From Kinetic Theory for Active Particles to Modelling Immune Competition
Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue
Nonlinear Renewal Equations
A Game Theoretical Perspective on the Somatic Evolution of Cancer
Nonlinear Modeling and Simulation of Tumor Growth
Tumour Cords and Their Response to Anticancer Agents
Modeling Diffusely Invading Brain Tumors: An Individualized Approach to Quantifying Glioma Evolution and Respon
ISBN:9780817647131
Series:e-books
Series:SpringerLink (Online service)
Series:Modeling and Simulation in Science, Engineering and Technology
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Oncology , Biology Mathematics , Physiology Mathematics
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Call number:SPRINGER-2008-9780817646004:ONLINE Show nearby items on shelf
Title:Modeling Complex Living Systems [electronic resource]
Author(s): Nicola Bellomo
Date:2008
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whosedynamics follow rules de termined by some organized, or even intelligent ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantumparticles. This book, on the other hand, examines t he modeling of living systems as opposed to inert systems. The author develops new mathematical methods and toolshopefully a new mathematicstoward the modeling of livingsystems. Such tools need to be far more complex than those dealing with systems of ine rt matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in theapplied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in thecontext of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived modeltowards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Mode ling of the competition between cells of an aggressive invasive agent and cellsof the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multisca le modeling of large systems viewed as interconnectedsubsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists
Note:Springer eBooks
Contents:Preface
From Scaling and Determinism to Kinetic Theory Representation
Mathematical Structures of the Kinetic Theory for Active Particles
Additional Mathematical Structures for Modeling Complex Systems
Mathematical Frameworks for Discrete Activity Systems
Modeling of Social Dynamics and Economic Systems
Mathematical Modeling of Vehicular Traffic Flow Phenomena
Complex Biological Systems: Mutations and Immune Competition
Modeling Crowds and Swarms: Congested and Panic Flows
Additional Concepts on the Modeling of Living Systems
Collected Bibliography
Index
ISBN:9780817646004
Series:e-books
Series:SpringerLink (Online service)
Series:Modeling and Simulation in Science, Engineering and Technology
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Biology Mathematics , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2008-9780387743882:ONLINE Show nearby items on shelf
Title:Linear Programming [electronic resource] : Foundations and Extensions
Author(s): Robert J Vanderbei
Date:2008
Edition:3
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convexanalysis, network flow s, integer programming, quadratic programming, and convex optimization. The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with alarge number of numerical examples worked out in detail. Moreover, Linear Programming: Foundations and Extensions underscores the purpose of optimization: to solve practical problems on a computer. Accordingly, the book is coordinatedwith free efficient C programs that implement the major algorithms studied: The two-phase simplex method The primal-dual simplex method The path-following interior-point method The homogeneous self-dual methods. In addition, thereare online JAVA applets that illustrate various pivot rules and variants of the simplex met hod, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's webpage:http://www.princeton.edu/-rvdb/LPbook/. Also, check the book's webpage for new online instructional tools and exercises that have be en added in the new edition
Note:Springer eBooks
Contents:Basic TheoryThe Simplex Method and Duality
The Simplex Method
Degeneracy
Efficiency of the Simplex Method
Duality Theory
The Simplex Method in Matrix Notation
Sensitivity and Parametric Analyses
Implementation Issues
Problems in General Form
Convex Analysis
Game Theory
Regression
Financial Applications
Network
Type Problems
Network Flow Problems
Applications
Structural Optimization
Interior
Point Methods
The Central Path
A Path
Following Method
The KKT System
Implementation Issues
The Affine
Scaling Method
The Homogeneous
ISBN:9780387743882
Series:e-books
Series:SpringerLink (Online service)
Series:International Series in Operations Research & Management Science, 0884-8289 : v114
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Operations research , Industrial engineering , Engineering economy
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Call number:SPRINGER-2007-9780817645816:ONLINE Show nearby items on shelf
Title:Representation and Control of Infinite Dimensional Systems [electronic resource]
Author(s): Alain Bensoussan
Giuseppe Prato
Michel C Delfour
Sanjoy K Mitter
Date:2007
Edition:Second Edition
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate theconcise exposition. Present s, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field. Mathematical Reviews(reviews of Volumes I and II of the First Edition) The quadrat ic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from atheoretical and design point of view. The study of this problem over an infinite time horizo n shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability,stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with t ime delays and distributed parameter systems. This reorganized, revised, and expanded edition of a two-volumeset is a self-contained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into f ive parts. Part I reviews basic optimal control and game theory of finite dimensionalsystems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly comp lete account of semigroup theory. It incorporates interpolationtheory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV a nd V examine the optimal control of systemswhen performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered. New
Note:Springer eBooks
Contents:Preface to the Second Edition
Preface to Volume I of the First Edition
Preface to Volume II of the First Edition
List of Figures
Introduction
Part I. Finite Dimensional Linear Control of Dynamical Systems
Control of Linear Finite Dimensional Differential Systems
Linear Quadratic Two
Person Zero
Sum Differential Games
Part II. Representation of Infinite Dimensional Linear Control Dynamical Systems
Semi
groups of Operators and Interpolation
Variational Theory of Parabolic Systems
Semi
group Methods for Systems with Unbounded Control and Observation Operators
D
ISBN:9780817645816
Series:e-books
Series:SpringerLink (Online service)
Series:Systems & Control: Foundations & Applications
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Differential equations, partial , Systems theory , Mathematical optimization
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Call number:SPRINGER-2007-9780817645533:ONLINE Show nearby items on shelf
Title:Advances in Dynamic Game Theory [electronic resource] : Numerical Methods, Algorithms, and Applications to Ecology and Economics
Author(s): Steffen Jrgensen
Marc Quincampoix
Thomas L Vincent
Date:2007
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas aspursuit-evasion games, ecology, an d economics. Written by experts in their respective disciplines, the chapters are an outgrowth of presentations from the 11th International Symposium on Dynamic Games and Applications. Key topicscovered include: * stochastic and differential games * dynam ic games and their applications in various areas, such as ecology and economics * numerical methods and algorithms in dynamic games * zero- and nonzero-sum games *pursuit-evasion games * evolutionary game theory and applications The work will serve as a s tate-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students inapplied mathematics, mathematical finance, and engineering
Note:Springer eBooks
Contents:Preface
Contributors
Stochastic Games
Differential Games
Applications of Dynamic Games
Numerical Methods and Algorithms for Solving Dynamic Games
Zero
Sum Games
Pursuit
Evasion Games
ISBN:9780817645533
Series:e-books
Series:SpringerLink (Online service)
Series:Annals of the International Society of Dynamic Games : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Computer science Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2006-9780387352091:ONLINE Show nearby items on shelf
Title:Statistical Methods in Counterterrorism [electronic resource] : Game Theory, Modeling, Syndromic Surveillance, and Biometric Authentication
Author(s): Alyson G Wilson
Gregory D Wilson
David H Olwell
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:All the data was out there to warn us of this impending attack, why didn't we see it? This was a frequently asked question in the weeks and months after the terrorist attacks on the World Trade Center and the Pentagon onSeptember 11, 2001. In the wak e of the attacks, statisticians moved quickly to become part of the national response to the global war on terror. This book is an overview of the emerging research program at the intersection of nationalsecurity and statistical sciences. A wide range of talented researchers address issues in . Syndromic Surveillance---How do we detect and recognize bioterrorist events? . Modeling and Simulation---How do we better understand andexplain complex processes so that decision makers can take the best course of action? . Biometric Authentication---How do we pick the terrorist out of the crowd of faces or better match the passport to the traveler? . Game Theory---Howdo we understand the rules that terrorists are playing by? This book includes technical treatments of statistical issues that will be of use to quantitative researchers as well as more general examinations of quantitative approaches tocounterterrorism that will be accessible to decision makers with stronger policy backgrounds. Dr. Alyson G. Wilson is a statistician and the technical lead for DoD programs in the Statistical Sciences Group at Los Alamos NationalLaboratory. Dr. Gregory D. Wilson is a rhetorician and ethnographer in the Statistical Sciences Group at Los Alamos National Laboratory. Dr. Dav id H. Olwell is chair of the Department of Systems Engineering at the Naval PostgraduateSchool in Monterey, California
Note:Springer eBooks
Contents:Game Theory
Game Theory in an Age of Terrorism: How Can Statisticians Contribute?
Combining Game Theory and Risk Analysis in Counterterrorism: A Smallpox Example
Game
Theoretic and Reliability Methods in Counterterrorism and Security
Biometric Authentication
Biometric Authentication
Towards Statistically Rigorous Biometric Authentication Using Facial Images
Recognition Problem of Biometrics: Nonparametric Dependence Measures and Aggregated Algorithms
Syndromic Surveillance
Data Analysis Research Issues and Emerging Public Health Biosurveillance Directions
Current
ISBN:9780387352091
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Optical pattern recognition , Mathematics , Operations research , Mathematical statistics , Economics, Mathematical
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Call number:SPRINGER-2006-9780387312620:ONLINE Show nearby items on shelf
Title:Computer Algebra Recipes [electronic resource] : An Introductory Guide to the Mathematical Models of Science
Author(s): Richard H Enns
George C McGuire
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than withpencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models. Aimed at science and engineering undergraduates at the sophomore/junior level, this introductoryguide to the mathematical models of science is fill ed with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organizedinto the Appetizers dealing with graphical aspects, the Entrees concentrati ng on symbolic computation, and the Desserts illustrating numerical simulation. The heart of the text is a large number of computer algebra recipes based on theMaple 10 software system. These have been designed not only to provide tools for problem solvin g, but also to stimulate the readers imagination. Associated with each recipe is a scientific model or method and an interesting oramusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe. Th is text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students,deals with more advanced differential equation models
Note:Springer eBooks
Contents:The Appetizers
The Pictures of Science
Deriving Model Equations
The Entrees
Algebraic Models. Part I
Algebraic Models. Part II
Linear ODE Models
Difference Equation Models
The Desserts
Monte Carlo Methods
Fractal Patterns
ISBN:9780387312620
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Computer simulation , Computer software , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2005-9783540292326:ONLINE Show nearby items on shelf
Title:Methods in Nonlinear Analysis [electronic resource]
Author(s): Kung-Ching Chang
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizesup-to-date materials sc attered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains the basic theories and methods with many interesting problems in partial and ordinarydifferential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. There are five chapters that cover linearization,fixed-point theorems based on compactness and convexity, topological d egree theory, minimization and topological variational methods. Each chapter combines abstract, classical and applied analysis. Particular topics included arebifurcation, perturbation, gluing technique, transversality, NashMoser technique, Ky Fan's inequa lity and Nash equilibrium in game theory, setvalued mappings and differential equations with discontinuous nonlinear terms, multiplesolutions in partial differential equations, direct method, quasiconvexity and relaxation, Young measure, compensation comp actness method and Hardy space, concentration compactness and best constants, Ekeland variational principle,infinite-dimensional Morse theory, minimax method, index theory with group action, and Conley index theory. All methods are illustrated by carefull y chosen examples from mechanics, physics, engineering and geometry. The book aims tofind a balance between theory and applications and will contribute to filling the gap between texts that either only study the abstract theory, or focus on some special e quations
Note:Springer eBooks
Contents:Linearization
Fixed Point Theorems
Degree Theory and Applications
Minimization Methods
Topological Methods
ISBN:9783540292326
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2005-9783540278771:ONLINE Show nearby items on shelf
Title:Mathematical Modeling for the Life Sciences [electronic resource]
Author(s): Jacques Istas
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panoramic study does not claim tooffer a detailed and e xhaustive view of the many interactions between mathematical models and life sciences. This textbook provides a general overview of realistic mathematical models in life sciences, considering both deterministicand stochastic models and covering dynamical systems, game theory, stochastic processes and statistical methods. Each mathematical model is explained and illustrated individually with an appropriate biological example. Finally threeappendices on ordinary differential equations, evolution equations, and probability are added to make it possible to read this book independently of other literature
Note:Springer eBooks
Contents:General introduction
Continuous
time dynamical systems
Discrete
time dynamical systems
Game theory and evolution
Markov chains and diffusions
Random arborescent models
Statistics
ISBN:9783540278771
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2005-9780817644291:ONLINE Show nearby items on shelf
Title:Advances in Dynamic Games [electronic resource] : Applications to Economics, Finance, Optimization, and Stochastic Control
Author(s): Andrzej S Nowak
Krzysztof Szajowski
Date:2005
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a guide to the vitality and growth of the field and its applications. The selected chapters, written by experts intheir respective discip lines, are an outgrowth of presentations originally given at the 9th International Symposium of Dynamic Games and Applications. Featured throughout are useful tools for researchers and practitioners who use gametheory for modeling in many disciplines. Maj or topics covered include: * repeated and stochastic games * differential dynamic games * optimal stopping games * applications of dynamic games to economics, finance, and queuing theory *numerical methods and algorithms for solving dynamic games * Parron dos games and related topics A valuable reference for practitioners and researchers in dynamic game theory, the book and its diverse applications will also benefitresearchers and graduate students in applied mathematics, economics, engineering, systems an d control, and environmental science
Note:Springer eBooks
Contents:Preface
Repeated and Stochastic Games
Differential Dynamic Games
Stopping Games
Applications of Dynamic Games to Economics, Finance, and Queuing Theory
Numerical Methods and Algorithms for Solving Dynamic Games
Parrondos Games and Related Topics
ISBN:9780817644291
Series:e-books
Series:SpringerLink (Online service)
Series:Annals of the International Society of Dynamic Games : v7
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Mathematical optimization , Distribution (Probability theory)
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Call number:SPRINGER-2004-9783540446446:ONLINE Show nearby items on shelf
Title:Stochastic Methods in Finance Lectures given at the C.I.M.E.-E.M.S. Summer School held in Bressanone/Brixen, Italy, July 6-12, 2003
Author(s): Kerry Back
Date:2004
Size:1 online resource (312 p.)
Note:10.1007/b100122
Contents:Preface -- Kerry Back: Incomplete and Asymmetric Information in Asset Pricing Theory -- Tomasz R. Bielecki, Monique Jeanblanc, Marek Rutkowski: Modeling and Valuation of Credit Risk -- Christian Hipp: Stochastic Control with
Application in Insurance -- Shige Peng: Nonlinear Expectations, Nonlinear Evaluations and Risk Measures -- Walter Schachermayer: Utility Maximisation in Incomplete Markets
ISBN:9783540446446
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze: 1856
Keywords: Mathematics , Game theory , Economics, Mathematical , System theory , Probabilities , Public finance , Mathematics , Probability Theory and Stochastic Processes , Public Economics , Quantitative Finance , Game Theory, Economics, Social and Behav. Sciences , Systems Theory, Control
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Call number:SPRINGER-2004-9783540246909:ONLINE Show nearby items on shelf
Title:A Game Theory Analysis of Options Corporate Finance and Financial Intermediation in Continuous Time
Author(s): Alexandre Ziegler
Date:2004
Edition:Second Edition
Size:1 online resource (176 p.)
Note:10.1007/978-3-540-24690-9
Contents:1 Methodological Issues -- 1.1 Introduction -- 1.2 Game Theory Basics: Backward Induction and Subgame Perfection -- 1.3 Option Pricing Basics: The General Contingent Claim Equation -- 1.4 The Method of Game Theory Analysis of Options
-- 1.5 When is the Method Appropriate? -- 1.6 What Kind of Problems is the Method Particularly Suited for? -- 1.7 An Example: Determining the Price of a Perpetual Put Option -- 1.8 Outline of the Book -- 2 Credit and Collateral -- 2.1
Introduction -- 2.2 The Risk-Shifting Problem -- 2.3 The Observability Problem -- 2.4 Conclusion -- 3 Endogenous Bankruptcy and Capital Structure -- 3.1 Introduction -- 3.2 The Model -- 3.3 The Value of the Firm and its Securities --
3.4 The Effect of Capital Structure on the Firm’s Bankruptcy Decision -- 3.5 The Investment Decision -- 3.6 The Financing Decision -- 3.7 An Incentive Contract -- 3.8 The Impact of Payouts -- 3.9 Conclusion -- 4 Junior Debt -- 4.1
Introduction -- 4.2 The Model -- 4.3 The Value of the Firm and its Securities -- 4.4 The Equity Holders’ Optimal Bankruptcy Choice -- 4.5 The Firm’s Decision to Issue Junior Debt -- 4.6 The Influence of Junior Debt on the Value of
Senior Debt -- 4.7 Conclusion -- 5 Bank Runs -- 5.1 Introduction -- 5.2 The Model -- 5.3 The Depositors’ Run Decision -- 5.4 Valuing the Bank’s Equity -- 5.5 The Shareholders’ Recapitalization Decision -- 5.6 The Bank’s Investment
Incentives when Bank Runs are Possible -- 5.7 The Bank’s Funding Decision -- 5.8 Determining the Equilibrium Deposit Spread -- 5.9 Conclusion -- 6 Deposit Insurance -- 6.1 Introduction -- 6.2 The Model -- 6.3 Valuing Deposit Insurance,
Bank Equity and Social Welfare -- 6.4 The Guarantor’s Liquidation Strategy and Social Welfare -- 6.5 The Incentive Effects of Deposit Insurance -- 6.6 The Impact of Deposit Insurance on the Equilibrium Deposit Spread -- 6.7 Deposit
Insurance with Liquidation Delays -- 6.8 Deposit Insurance with Unobservable Asset Value -- 6.9 Conclusion -- 7 Summary and Conclusion -- References -- List of Figures -- List of Symbols
ISBN:9783540246909
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Finance , Game theory , Economics, Mathematical , Economic theory , Public finance , Economics , Public Economics , Finance, general , Game Theory, Economics, Social and Behav. Sciences , Quantitative Finance , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-2004-9781475738148:ONLINE Show nearby items on shelf
Title:A Beginner’s Guide to Finite Mathematics For Business, Management, and the Social Sciences
Author(s): W. D Wallis
Date:2004
Size:1 online resource (355 p.)
Note:10.1007/978-1-4757-3814-8
Contents:1 Numbers and Sets -- 2 Counting -- 3 Probability -- 4 Graph Theory -- 5 Matrices -- 6 Linear Programming -- Your Turn Solutions -- Answers to Exercises A
ISBN:9781475738148
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Applied mathematics , Engineering mathematics , Game theory , Mathematical logic , Combinatorics , Statistics , Mathematics , Mathematical Logic and Foundations , Discrete Mathematics in Computer Science , Applications of Mathematics , Game Theory, Economics, Social and Behav. Sciences , Combinatorics , Statistical Theory and Methods
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Call number:SPRINGER-2003-9783662052198:ONLINE Show nearby items on shelf
Title:ICM Millennium Lectures on Games
Author(s):
Date:2003
Size:1 online resource (416 p.)
Note:10.1007/978-3-662-05219-8
Contents:I Foundations, Concepts, and Structure -- Stable Schedule Matching under Revealed Preference -- Banzhaf Permission Values for Games with a Permission Structure -- Moral Hazard in Teams Revisited -- Endogenous Determination of Utility
Functions: An Evolutionary Approach -- N-person Prisoner’s Dilemma with Mutual Choice by Agent-based Modeling -- Randomly-Furcating Stochastic Differential Games -- On Modulo 2 Game -- Bargaining in Dynamic Games -- II Equilibrium
Properties -- Extensions of Hart and Mas-Colell’s Consistency to Efficient, Linear, and Symmetric Values for TU-Games -- On the Stability of Cooperation Structures -- Time-Consistent Imputation Distribution Procedure for Multistage
Game -- Rationality of Final Decisions Leads to Sequential Equilibrium -- The Core in the Presence of Externalities -- Network Topology and the Efficiency of Equilibrium -- Essential Components of the Set of Weakly Pareto-Nash
Equilibria for Multiobjective Generalized Games -- III Applications to the Natural and Social Sciences -- Discretization of Information Collecting Situations and Continuity of Compensation Rules -- Some Variation Calculus Problems in
Dynamic Games on 2D Surfaces -- On The Chinese Postman Game -- Farsighted Stability in Duopoly Markets with Product Differentiation -- International Emissions Trading with Agent-Based Simulation and Web-Based Gaming -- Comparison of
two Economic Models for a Business-to-Business Exchange -- IV Computational Aspects of Games -- Computability of Nash Equilibrium -- Numerical Algorithm for Solving Cross-Coupled Multiparameter Algebraic Riccati Equations of
Multimodeling Systems Related to Nash Games -- Effects of Symmetry on Paradoxes in Non-Cooperative Distributed Computing -- Computation of Stackelberg Trajectories in a Class of Linear Differential Games on Plane -- A Game Theoretic
Approach to Value Information in Data Mining
ISBN:9783662052198
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Operations research , Decision making , Business mathematics , Game theory , Mathematical models , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Mathematical Modeling and Industrial Mathematics , Business Mathematics , Economic Theory/Quantitative Economics/Mathematical Methods , Operation Research/Decision Theory
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Call number:SPRINGER-2003-9783662051252:ONLINE Show nearby items on shelf
Title:The Statistical Mechanics of Financial Markets
Author(s): Johannes Voit
Date:2003
Size:1 online resource (290 p.)
Note:10.1007/978-3-662-05125-2
Contents:1. Introduction -- 2. Basic Information on Capital Markets -- 3. Random Walks in Finance and Physics -- 4. The Black—Scholes Theory of Option Prices -- 5. Scaling in Financial Data and in Physics -- 6. Turbulence and Foreign Exchange
Markets -- 7. Risk Control and Derivative Pricing in Non-Gaussian Markets -- 8. Microscopic Market Models -- 9. Theory of Stock Exchange Crashes -- A. Appendix: Information Sources -- Notes and References
ISBN:9783662051252
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Game theory , Statistical physics , Dynamical systems , Statistics , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Statistical Physics, Dynamical Systems and Complexity , Statistics for Business/Economics/Mathematical Finance/Insurance , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-2003-9783540246992:ONLINE Show nearby items on shelf
Title:Attractors, Bifurcations, & Chaos Nonlinear Phenomena in Economics
Author(s): Tönu Puu
Date:2003
Edition:Second Edition
Size:1 online resource (549 p.)
Note:10.1007/978-3-540-24699-2
Contents:1 Introduction -- 2 Differential Equations: Ordinary -- 3 Differential Equations: Partial -- 4 Iterated Maps or Difference Equations -- 5 Bifurcation and Catastrophe -- 6 Monopoly -- 7 Duopoly and Oligopoly -- 8 Business Cycles:
Continuous Time -- 9 Business Cycles: Continuous Space -- 10 Business Cycles: Discrete Time -- 11 Dynamics of Interregional Trade -- 12 Development: Increasing Complexity -- 13 Development: Multiple Attractors -- References -- List of
Figures
ISBN:9783540246992
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Game theory , Economic theory , Regional economics , Spatial economics , Social sciences , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods , Regional/Spatial Science , Social Sciences, general
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Call number:SPRINGER-2003-9783034880206:ONLINE Show nearby items on shelf
Title:Stochastic Analysis and Related Topics VIII Silivri Workshop in Gazimagusa (North Cyprus), September 2000
Author(s):
Date:2003
Size:1 online resource (208 p.)
Note:10.1007/978-3-0348-8020-6
Contents:Stochastic Control and Games Under Arbitrarily Dependent Noises -- Stochastic Games with Risk Sensitive Payoffs for N Players -- An Overall View of Stochastics in Colombeau Related Algebras -- On Metrics for Tangent Processes on the
Path Space -- Weak Approximation for Semilinear Stochastic Evolution Equations -- Exponential Type Decrease of the Density for Jump Processes with Singular Levy Measures in Small Time -- Controllability and Observability of Linear
Stochastic Systems in Hilbert Spaces -- Exact Computation of Spectral Densities for a Langevin Dynamic Modelling the Relaxation of a Protein near its Equilibrium -- Quasi-invariance for Lévy Processes under Anticipating Shifts --
Gaussian Measure of the Intersection of Two Absolutely Convex Sets
ISBN:9783034880206
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Probability : 53
Keywords: Mathematics , Dynamics , Ergodic theory , Functional analysis , Game theory , Calculus of variations , Probabilities , Physics , Mathematics , Probability Theory and Stochastic Processes , Dynamical Systems and Ergodic Theory , Functional Analysis , Game Theory, Economics, Social and Behav. Sciences , Calculus of Variations and Optimal Control Optimization , Mathematical Methods in Physics
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Call number:SPRINGER-2003-9780387218151:ONLINE Show nearby items on shelf
Title:Finite-Dimensional Variational Inequalities and Complementarity Problems
Author(s):
Date:2003
Size:1 online resource (704 p.)
Note:10.1007/b97544
Contents:Local Methods for Nonsmooth Equations -- Global Methods for Nonsmooth Equations -- Equation-Based Algorithms for CPs -- Algorithms for VIs -- Interior and Smoothing Methods -- Methods for Monotone Problems
ISBN:9780387218151
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Operations research , Decision making , Game theory , Mathematical optimization , Management science , Applied mathematics , Engineering mathematics , Mathematics , Operations Research, Management Science , Optimization , Operation Research/Decision Theory , Game Theory, Economics, Social and Behav. Sciences , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2003-9780387217130:ONLINE Show nearby items on shelf
Title:Statistical Physics and Economics: Concepts, Tools and Applications
Author(s): Michael Schulz
Date:2003
Size:1 online resource (246 p.)
Note:10.1007/0-387-21713-4
Contents:Economy and Complex Systems -- Evolution and Probabilistic Concepts -- Financial Markets -- Economic Systems -- Computer Simulations -- Forecasting
ISBN:9780387217130
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Tracts in Modern Physics: 184
Keywords: Mathematics , Game theory , Economics, Mathematical , Statistical physics , Dynamical systems , Statistics , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Quantitative Finance , Statistical Physics, Dynamical Systems and Complexity , Statistics for Business/Economics/Mathematical Finance/Insurance , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-2003-9780306482120:ONLINE Show nearby items on shelf
Title:The Theory of Search Games and Rendezvous
Author(s): Steve Alpern
Date:2003
Size:1 online resource (319 p.)
Note:10.1007/b100809
Contents:Search Games -- to Search Games -- Search Games in Compact Spaces -- General Framework -- Search for an Immobile Hider -- Search for a Mobile Hider -- Miscellaneous Search Games -- Search Games in Unbounded Domains -- General
Framework -- On Minimax Properties of Geometric Trajectories -- Search on the Infinite Line -- Star and Plan Search -- Rendezvous Search -- to Rendezvous Search -- Elementary Results and Examples -- Rendezvous Search on Compact Spaces
-- Rendezvous Values of a Compact Symmetric Region -- Rendezvous on Labeled Networks -- Asymmetric Rendezvous on an Unlabeled Circle -- Rendezvous on a Graph -- Rendezvous Search on Unbounded Domains -- Asymmetric Rendezvous on the
Line (ARPL) -- Other Rendezvous Problems on the Line -- Rendezvous in Higher Dimensions
ISBN:9780306482120
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Series in Operations Research & Management Science: 55
Keywords: Mathematics , Operations research , Decision making , Game theory , Calculus of variations , Probabilities , Economic theory , Mathematics , Calculus of Variations and Optimal Control Optimization , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods , Probability Theory and Stochastic Processes , Operation Research/Decision Theory
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Call number:SPRINGER-2002-9781475736236:ONLINE Show nearby items on shelf
Title:Complementarity, Equilibrium, Efficiency and Economics
Author(s): G Isac
Date:2002
Size:1 online resource (449 p.)
Note:10.1007/978-1-4757-3623-6
Contents:1 Introduction -- 2 Optimization Models -- 3 General Economic Equilibrium -- 4 Models of Oligopoly -- 5 Oligopoly with Leaders -- 6 Complementarity Problems with Respect to General Cones -- 7 Pseudomonotone and Implicit
Complementarity Problems -- 8 Complementarity Pivot Methods -- 9 Scarf Type Algorithms -- 10 Newton-Like Methods -- 11 Parametrization and Reduction to Nonlinear Equations -- 12 Efficiency -- 13 Approximative Efficiency
ISBN:9781475736236
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 63
Keywords: Mathematics , Game theory , Computer mathematics , Mathematical models , Mathematical optimization , Economics , Management science , Mathematics , Mathematical Modeling and Industrial Mathematics , Economics, general , Optimization , Computational Mathematics and Numerical Analysis , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-2001-9783662044230:ONLINE Show nearby items on shelf
Title:The Statistical Mechanics of Financial Markets
Author(s): Johannes Voit
Date:2001
Size:1 online resource (220 p.)
Note:10.1007/978-3-662-04423-0
Contents:1. Introduction -- 2. Basic Information on Capital Markets -- 3. Random Walks in Finance and Physics -- 4. The Black—Scholes Theory of Option Prices -- 5. Scaling in Financial Data and in Physics -- 6. Turbulence and Foreign Exchange
Markets -- 7. Risk Control and Derivative Pricing in Non-Gaussian Markets -- 8. Microscopic Market Models -- 9. Theory of Stock Exchange Crashes -- Notes and References
ISBN:9783662044230
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Game theory , Statistical physics , Dynamical systems , Statistics , Economic theory , Physics , Statistical Physics, Dynamical Systems and Complexity , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods , Statistics for Business/Economics/Mathematical Finance/Insurance
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Call number:SPRINGER-2001-9781475756623:ONLINE Show nearby items on shelf
Title:Linear Programming Foundations and Extensions
Author(s): Robert J Vanderbei
Date:2001
Edition:Second Edition
Size:1 online resource (450 p.)
Note:10.1007/978-1-4757-5662-3
Contents:1. Basic Theory—The Simplex Method and Duality -- 1. Introduction -- 2. The Simplex Method -- 3. Degeneracy -- 4. Efficiency of the Simplex Method -- 5. Duality Theory -- 6. The Simplex Method in Matrix Notation -- 7. Sensitivity and
Parametric Analyses -- 8. Implementation Issues -- 9. Problems in General Form -- 10. Convex Analysis -- 11. Game Theory -- 12. Regression -- 2. Network-Type Problems -- 13. Network Flow Problems -- 14. Applications -- 15. Structural
Optimization -- 3. Interior-Point Methods -- 16. The Central Path -- 17. A Path-Following Method -- 18. The KKT System -- 19. Implementation Issues -- 20. The Affine-Scaling Method -- 21. The Homogeneous Self-Dual Method -- 4.
Extensions -- 22. Integer Programming -- 23. Quadratic Programming -- 24. Convex Programming -- Appendix A. Source Listings -- 1. The Self-Dual Simplex Method -- 2. The Homogeneous Self-Dual Method -- Answers to Selected Exercises
ISBN:9781475756623
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Series in Operations Research & Management Science: 37
Keywords: Mathematics , Operations research , Decision making , Computer science , Mathematical models , Mathematical optimization , Management science , Mathematics , Operations Research, Management Science , Operation Research/Decision Theory , Optimization , Mathematical Modeling and Industrial Mathematics , Mathematics of Computing
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Call number:SPRINGER-2001-9781475735000:ONLINE Show nearby items on shelf
Title:Annotated Readings in the History of Statistics
Author(s): H. A David
Date:2001
Size:1 online resource (252 p.)
Note:10.1007/978-1-4757-3500-0
Contents:The Introduction of the Concept of Expectation: Comments on Pascal (1654) -- The First Formal Test of Significance: Comments on Arbuthnott (1710) -- Coincidences and the Method of Inclusion and Exclusion: Comments on Montmort (1713),
N. Bernoulli (1713), and de Moivre (1718) -- On the Game of Thirteen -- Letter from Nicholas Bernoulli to Montmort on the Game of Thirteen, reproduced in Montmort (1713, p. 301) -- The Doctrine of Chances, Problem XXV -- The
Determination of the Accuracy of Observations: Comments on Gauss (1816) -- The Determination of the Accuracy of Observations -- The Introduction of Asymptotic Relative Efficiency: Comments on Laplace (1818) -- On the Probability of
Results Deduced by Methods of any Kind from a Large Number of Observations -- The Logistic Growth Curve: Comments on Verhulst (1845) -- Mathematical Investigations on the Law of Population Growth -- Goodness-of-Fit Statistics: The
Distributions in Normal Samples of (a) the Sum of Squares About the Population Mean, (b) the Circular Sum of Squares of Successive Differences, and (c) the Circular Serial Correlation Coefficient: Comments on Abbe (1863) -- On the
Conformity-to-a-Law of the Distribution of Errors in a Series of Observations -- The Distribution of the Sample Variance Under Normality: Comments on Helmert (1876b) -- The Calculation of the Probable Error from the Squares of the
Adjusted Direct Observations of Equal Precision and Fechner’s Formula -- The Random Walk and Its Fractal Limiting Form: Comments on Venn (1888) -- Estimating a Binomial Parameter Using the Likelihood Function: Comments on Thiele (1889)
-- Yule’s Paradox (“Simpson’s Paradox”): Comments on Yule (1903) -- Beginnings of Extreme-Value Theory: Comments on Bortkiewicz (1922a) and von Mises (1923) -- Range and Standard Deviation -- On the Range of a Series of Observations --
The Evaluation of Tournament Outcomes: Comments on Zermelo (1929) -- The Evaluation of Tournament Results as a Maximization Problem in Probability Theory -- The Origin of Confidence Limits: Comments on Fisher (1930) -- Appendix A.
English Translations of Papers and Book Extracts of Historical Interest -- Appendix B. First (?) Occurrence of Common Terms in Statistics and Probability -- Name Index
ISBN:9781475735000
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistical Theory and Methods , Statistics, general
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Call number:SPRINGER-2000-9781475731415:ONLINE Show nearby items on shelf
Title:Topological Methods in Complementarity Theory
Author(s): George Isac
Date:2000
Size:1 online resource (686 p.)
Note:10.1007/978-1-4757-3141-5
Contents:1 Convex Cones -- 2 Complementarity Problems. Origin and Definitions -- 3 Complementarity Problems as Mathematical Models -- 4 Equivalences -- 5 Topics on Solvability -- 6 Topological Degree and Complementarity -- 7 Zero-Epi Mappings
and Complementarity -- 8 Exceptional Family of Elements and Complementarity -- 9 Conditions (S)+ and (S)+1: Applications to Complementarity Theory -- 10 Fixed Points, Coincidence Equations on Cones and Complementarity -- 11 Other
Topological Results in Complementarity Theory -- Bibliography (Complementarity problems) -- Glossary of Notation
ISBN:9781475731415
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 41
Keywords: Mathematics , Game theory , Mathematical models , Mathematical optimization , Calculus of variations , Economic theory , Mathematics , Optimization , Mathematical Modeling and Industrial Mathematics , Economic Theory/Quantitative Economics/Mathematical Methods , Calculus of Variations and Optimal Control Optimization , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-1999-9783642181429:ONLINE Show nearby items on shelf
Title:Adaptive Learning by Genetic Algorithms Analytical Results and Applications to Economic Models
Author(s): Herbert Dawid
Date:1999
Edition:Second, Revised and Enlarged Edition
Size:1 online resource (200 p.)
Note:10.1007/978-3-642-18142-9
Contents:1. Introduction -- 2. Bounded Rationality and Artificial Intelligence -- 2.1 Bounded Rationality in Economics -- 2.2 Artificially Intelligent Agents in Economic Systems -- 2.3 Learning Techniques of Artificially Intelligent Agents --
2.4 Some Applications of CI Methods in Economic Systems -- 2.5 Potentiality and Problems of CI Techniques in Economics -- 3. Genetic Algorithms -- 3.1 What are Genetic Algorithms? -- 3.2 The Structure of Genetic Algorithms -- 3.3
Genetic Operators -- 3.4 Genetic Algorithms with a Non-Standard Structure -- 3.5 Some Analytical Approaches to Model Genetic Algorithms -- 3.6 Do Genetic Algorithms Describe Adaptive Learning? -- 4. Genetic Algorithms with a State
Dependent Fitness Function -- 4.1 State Dependency in Economic Systems -- 4.2 A Markov Model for Systems with a State Dependent Fitness Function -- 4.3 The Difference Equations Describing the GA -- 4.4 Deviation from the Markov Process
-- 4.5 A Numerical Example -- 4.6 Stability of the Uniform States -- 4.7 Two-Population Models -- 5. Genetic Learning in Evolutionary Games -- 5.1 Equilibria and Evolutionary Stability -- 5.2 Learning in Evolutionary Games -- 5.3
Learning by a Simple Genetic Algorithm -- 5.4 Two-Population Contests -- 6. Simulations with Genetic Algorithms in Economic Systems -- 6.1 A Model of a Competitive Market -- 6.2 An Overlapping Generations Model with Fiat Money -- 6.3 A
Sealed Bid Double Auction Market -- 7. Stability and Encoding -- 7.1 The Cobweb Example Revisited -- 7.2 Impact of a Change in Encoding and Scaling -- 7.3 A Method for Finding Economic Equilibria -- 8. Conclusions -- A. Basic
Definitions and Results Used -- A.1 Time Homogeneous Markov Chains -- A.2 Nonlinear Difference Equations and Stability -- B. Calculation of the Equilibria of the Evolutionary Games in Chapter 5 -- B.1 Rock-Scissor-Paper Games -- B.2
The GA Deceptive Game GAD -- B.3 The Games G1 and G2 -- C. Proof of Proposition 6.3.1 -- References -- List of Figures -- List of Tables
ISBN:9783642181429
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Economic theory , Mathematics , Analysis , Economic Theory/Quantitative Economics/Mathematical Methods , Information Systems Applications (incl. Internet)
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Call number:SPRINGER-1998-9781475760750:ONLINE Show nearby items on shelf
Title:Operations Research in Transportation Systems Ideas and Schemes of Optimization Methods for Strategic Planning and Operations Management
Author(s): Alexander S Belenky
Date:1998
Size:1 online resource (440 p.)
Note:10.1007/978-1-4757-6075-0
Contents:1 Mathematical Programming -- 2 Discrete Optimization -- 3 Transportation-Oriented Optimization -- 4 Optimization under Uncertainty -- 5 Optimal Control -- 6 Optimization in Special Methods of Strategic Planning and Operations
Management in Transportation systems -- 7 Mathematical Concepts and Notation Used for Formulating and Solving Optimization Problems of Strategic Planning and Operations Management in Transportation systems -- Conclusion
ISBN:9781475760750
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 20
Keywords: Mathematics , Game theory , System theory , Mathematical optimization , Calculus of variations , Mathematics , Optimization , Game Theory, Economics, Social and Behav. Sciences , Calculus of Variations and Optimal Control Optimization , Systems Theory, Control
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Call number:SPRINGER-1998-9781461556459:ONLINE Show nearby items on shelf
Title:Fuzzy Sets in Decision Analysis, Operations Research and Statistics
Author(s):
Date:1998
Size:1 online resource (453 p.)
Note:10.1007/978-1-4615-5645-9
Contents:I Decision Making -- 1 Fuzzy Preference Modeling -- 2 Fuzzy Aggregation of Numerical Preferences -- 3 The Use of Fuzzy Preference Models in Multiple Criteria Choice, Ranking and Sorting -- 4 Group Decision Making Under Fuzziness -- 5
Elements of Fuzzy Game Theory -- II Mathematical Programming -- 6 Fuzzy Linear Programming with Single or Multiple Objective Functions -- 7 Fuzzy Nonlinear Programming with Single or Multiple Objective Functions -- 8 Discrete Fuzzy
Optimization -- 9 Fuzzy Dynamic Programming -- III Statistics and Data Analysis -- 10 Fuzzy Set-Theoretic Methods in Statistics -- 11 Fuzzy Regression Analysis -- IV Reliability, Maintenance and Replacement -- 12 Reliability -- 13
Maintenance and Replacement Models under a Fuzzy Framework
ISBN:9781461556459
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The Handbooks of Fuzzy Sets Series: 1
Keywords: Mathematics , Operations research , Decision making , Mathematical logic , Calculus of variations , Management science , Discrete mathematics , Mathematics , Mathematical Logic and Foundations , Discrete Mathematics , Operation Research/Decision Theory , Operations Research, Management Science , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-1997-9789401589154:ONLINE Show nearby items on shelf
Title:Differential Equations, Discrete Systems and Control Economic Models
Author(s): Aristide Halanay
Date:1997
Size:1 online resource (360 p.)
Note:10.1007/978-94-015-8915-4
Contents:1 Linear and Affine Differential Equations. Equations with Separated Variables -- 1.1 Differential Equations Modelling Growth Processes -- 1.2 Linear Differential Equations -- 1.3 Linear Affine Differential Equations -- 1.4 Simplest
Models of Price Evolution in a Market Economy -- 1.5 Discrete — Time Models for Price Evolution -- 1.6 Simplest Models for Economic Growth -- 1.7 Discrete — Time Models for Economic Growth -- 1.8 Production Functions -- 1.9 Equations
with Separated Variables -- 1.10 Notes and References -- 2 Linear Differential Equations with Constant Coefficients -- 2.1 Second Order Differential Equations with Constant Coefficients -- 2.2 Discrete — Time Second Order Linear
Equations -- 2.3 Price Evolution in the Presence of Inventories -- 2.4 Economic Growth Models -- 2.5 Second Order Linear Affine Equations -- 2.6 The Phillips Model with Several Types of Autonomous Investment -- 2.7 Higher Order Linear
Differential Equations with Constant Coefficients -- 2.8 Discrete — Time Linear Affine Equations -- 2.9 The Samuelson — Hicks Model for Economic Growth -- 2.10 Notes and References -- 3 Linear Systems with Constant Coefficients -- 3.1
General Form of Solutions -- 3.2 Matrix Exponential -- 3.3 Linear Affine Systems -- 3.4 Economic Models -- 3.5 Leontieff — type Models -- 3.6 Phase — Portrait for Second Order Linear Systems with Constant Coefficients -- 3.7 Notes and
References -- 4 General Theory of Nonlinear Systems. Stability -- 4.1 Existence and Uniqueness Theorem for the Initial Value Problem -- 4.2 Equilibria. Stability. Continuous Time -- 4.3 Stability. Discrete Time -- 4.4 Discrete—Time
Logistic Equation -- 4.5 Stable Polynomials -- 4.6 Some Properties of Matrices that occur in Economic Models -- 4.7 Notes and References -- 5 Numerical Solution of Differential Equations -- 5.1 Euler Method -- 5.2 Richardson
Extrapolation -- 5.3 Predictor — Corrector Methods -- 5.4 Numerical Quadrature -- 5.5 Adams Type Methods -- 5.6 Stiff Systems -- 5.7 Some Applications of Differential Equations in Numerical Analysis and Optimization -- 5.8 Notes and
References -- 6 Control Systems. Stabilization of Linear Systems -- 6.1 Stabilization Problem. Stabilization by Linear State Feed-Back -- 6.2 Stabilization of Linear Systems by Using a Controller -- 6.3 Stabilization in an Economic
Growth Model -- 6.4 A Monetary Policy Model -- 6.5 Stabilization of Discrete—Time Systems -- 6.6 A Discrete—Time Monetary Policy Model -- 6.7 Notes and References -- 7 Optimal Stabilization -- 7.1 Linear—Quadratic Optimization on
Infinite Horizon. Continuous Time -- 7.2 Application to a Price Model -- 7.3 Optimal Stabilization in Discrete Time -- 7.4 Optimal Stabilization in a Discrete—Time Model of Price Evolution -- 7.5 Notes and References -- 8
Linear—Quadratic Optimization on Finite Horizon -- 8.1 Continuous Time -- 8.2 Applications -- 8.3 Discrete Time -- 8.4 Applications in Discrete Time -- 8.5 A Tracking Problem -- 8.6 A Simple Differential Game -- 8.7 Notes and
References -- 9 Some Unconstrained Dynamic Optimization Problems -- 9.1 The Simplest Problem of the Calculus of Variations -- 9.2 A Macroeconomic Growth Model -- 9.3 A Discrete — Time Variational Problem -- 9.4 An Application -- 9.5
Unrestricted Optimal Control Problem in Discrete Time -- 9.6 An Application -- 9.7 Optimization with Linear Dynamics and Linear Cost. Continuous Time -- 9.8 Some Microeconomic Models -- 9.9 Optimization with Linear Dynamics and Linear
Cost. Discrete Time -- 9.10 Applications -- 9.11 Notes and References -- 10 General Problem of Optimal Control -- 10.1 Problem Statement. General Theorems -- 10.2 Optimum Capital Accumulation under the Minimum Time Objective -- 10.3
Reduction of Problems with Free Initial and Final Time to Problems on Fixed Horizon -- 10.4 An Abstract Multiplier Rule -- 10.5 Proof of Theorem 10.1 -- 10.6 Notes and References -- References
ISBN:9789401589154
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Modelling: Theory and Applications: 3
Keywords: Difference equations , Functional equations , Differential equations , Mathematical optimization , Calculus of variations , Economic theory , Economics , Economic Theory/Quantitative Economics/Mathematical Methods , Ordinary Differential Equations , Difference and Functional Equations , Calculus of Variations and Optimal Control Optimization , Optimization
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Call number:SPRINGER-1997-9783642604089:ONLINE Show nearby items on shelf
Title:The Mathematics of Paul Erdös I
Author(s):
Date:1997
Size:1 online resource (403 p.)
Note:10.1007/978-3-642-60408-9
Contents:of The Mathematics of Paul Erd?s I -- Paul Erd?s — Life and Work -- I. Early Days -- Some of My Favorite Problems and Results -- Encounters with Paul Erd?s -- Did Erd?s Save Western Civilization? -- Integers Uniquely Represented by
Certain Ternary Forms -- On Cubic Graphs of Girth at Least Five -- II. Number Theory -- Classical Results on Primitive and Recent Results on Cross-Primitive Sequences -- Sur la Non-dérivabilité de Fonctions Périodiques Associées à
Certaines Formules Sommatoires -- On Additive Representation Functions -- Arithmetical Properties of Polynomials -- Cross-Disjoint Pairs of Clouds in the Interval Lattice -- Dense Difference Sets and their Combinatorial Structure -- On
Primes Recognizable in Deterministic Polynomial Time -- Ballot Nummbers, Alternating Products, and the Erd?s-Heilbronn Conjecture -- Integer Sets Containing no Solution to x + y = 3z -- On Landau’s Function g(n) -- On Divisibility
Properties of Sequences of Integers -- Some Methods of Erd?s Applied to Finite Arithmetic Progressions -- 1105: First Steps in a Mysterious Quest -- III. Randomness and Applications -- Games, Randomness and Algorithms -- The Origins of
the Theory of Random Graphs -- The Erd?s Existence Argument -- On Some Hypergraph Problems of Paul Erd?s and the Asymptotics of Matchings, Covers and Colorings -- How Abelian is a Finite Group? -- On Small Size Approximation Models --
An Upper Bound for a Communication Game Related to Time-Space Tradeoffs
ISBN:9783642604089
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Combinatorics: 13
Keywords: Mathematics , Geometry , Mathematical logic , Number theory , Combinatorics , Statistics , Economic theory , Mathematics , Number Theory , Statistics, general , Economic Theory/Quantitative Economics/Mathematical Methods , Combinatorics , Geometry , Mathematical Logic and Foundations
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Call number:SPRINGER-1997-9783642591327:ONLINE Show nearby items on shelf
Title:Multiple Criteria Decision Making Proceedings of the Twelfth International Conference Hagen (Germany)
Author(s):
Date:1997
Size:1 online resource (678 p.)
Note:10.1007/978-3-642-59132-7
Contents:Contents: Theory -- Methods: Methodology -- Algorithms -- Applications: Applications in Engineering -- Applications in Environment -- Applications in Management
ISBN:9783642591327
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Economics and Mathematical Systems: 448
Keywords: Mathematics , Operations research , Decision making , Applied mathematics , Engineering mathematics , Game theory , Probabilities , Statistics , Engineering , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Applications of Mathematics , Engineering, general , Operation Research/Decision Theory , Probability Theory and Stochastic Processes , Statistics for Business/Economics/Mathematical Finance/Insurance
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Call number:SPRINGER-1996-9783642802546:ONLINE Show nearby items on shelf
Title:Predictability of Complex Dynamical Systems
Author(s):
Date:1996
Size:1 online resource (234 p.)
Note:10.1007/978-3-642-80254-6
Contents:1 Introduction -- 2 Time Series Analysis: The Search for Determinism -- Method to Discriminate Against Determinism in Time Series Data -- Observing and Predicting Chaotic Signals: Is 2% Noise Too Much? -- A Discriminant Procedure for
the Solution of Inverse Problems for Non-stationary Systems -- Classifying Complex, Deterministic Signals -- 3 Dynamical Modeling and Forecasting Algorithms -- Strategy and Algorithms of Dynamical Forecasting -- Parsimony in Dynamical
Modeling -- The Bifurcation Paradox: The Final State Is Predictable If the Transition Is Fast Enough -- 4 Prediction of Biological Systems -- Models and Predictability of Biological Systems -- Limits of Predictability for Biospheric
Processes -- 5 Analysis and Forecasting of Financial Data -- The Application of Wave Form Dictionaries to Stock Market Index Data -- 6 Socio-Political and Global Problems -- Messy Futures and Global Brains
ISBN:9783642802546
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Synergetics: 69
Keywords: Physics , Game theory , Statistical physics , Dynamical systems , Economic theory , Physics , Statistical Physics, Dynamical Systems and Complexity , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1996-9781461334347:ONLINE Show nearby items on shelf
Title:Linear Programming: Mathematics, Theory and Algorithms
Author(s):
Date:1996
Size:1 online resource (498 p.)
Note:10.1007/978-1-4613-3434-7
Contents:1. Introduction and Overview -- 2. Preliminary Mathematics -- 2.1 Vectors in Rn -- 2.2 Rank and Linear Transformations -- 2.3 The Solution Set of a System of Simultaneous Linear Equations -- 2.4 Orthogonal Projections and Least
Squares Solutions -- 2.5 Point-Set Theory: Topological Properties of Rn -- 2.6 Hyperplanes and Half-Planes (-Spaces) -- 2.7 Convex Sets -- 2.8 Existence of Separating and Supporting Hyperplanes -- 2.9 Convex Cones -- 2.10 Basic
Solutions to Linear Equalities -- 2.11 Faces of Polyhedral Convex Sets: Extreme Points, Facets, and Edges -- 2.12 Extreme Point Representation for Polyhedral Convex Sets -- 2.13 Directions for Polyhedral Convex Sets -- 2.14 Combined
Extreme Point and Extreme Direction Representation for Polyhedral Convex Sets -- 2.15 Resolution of Convex Polyhedra. -- 2.16 Simplexes -- 2.18 Linear Functionals -- 3. Introduction to Linear Programming -- 3.1 The Canonical Form of a
Linear Programming Problem -- 3.2 A Graphical Solution to the Linear Programming Problem -- 3.3 The Standard Form of a Linear Programming Problem -- 3.4 Properties of the Feasible Region -- 3.5 Existence and Location of Finite Optimal
Solutions -- 3.6 Basic Feasible and Extreme Point Solutions to the Linear Programming Problem -- 3.7 Solutions and Requirements Spaces -- 4. Duality Theory -- 4.1 The Symmetric Dual -- 4.2 Unsymmetric Duals -- 4.3 Duality Theorems --
5. The Theory of Linear Programming -- 5.1 Finding Primal Basic Feasible Solutions -- 5.2 The Reduced Primal Problem -- 5.3 The Primal Optimality Criterion -- 5.4 Constructing the Dual Solution -- 5.5 The Primal Simplex Method -- 5.6
Degenerate Basic Feasible Solutions -- 5.7 Unbounded Solutions Reexamined -- 5.8 Multiple Optimal Solutions -- 6. Duality Theory Revisited -- 6.1 The Geometry of Duality and Optimality -- 6.2 Lagrangian Saddle Points and Primal
Optimality -- 7. Computational Aspects of Linear Programming -- 7.1 The Primal Simplex Method Reexamined -- 7.2 Improving a Basic Feasible Solution -- 7.3 The Cases of Multiple Optimal, Unbounded, and Degenerate Solutions -- 7.4
Summary of the Primal Simplex Method -- 7.5 Obtaining the Optimal Dual Solution From the Optimal Primal Matrix -- 8. One-Phase, Two-Phase, and Composite Methods of Linear Programming -- 8.1 Artificial Variables -- 8.2 The One-Phase
Method -- 8.3 Inconsistency and Redundancy -- 8.4 Unbounded Solutions to the Artificial Problem -- 8.5 The Two-Phase Method -- 8.6 Obtaining the Optimal Primal Solution from the Optimal Dual Matrix -- 8.7 The Composite Simplex Method
-- 9. Computational Aspects of Linear Programming: Selected Transformations -- 9.1 Minimizing the Objective Function -- 9.2 Unrestricted Variables -- 9.3 Bounded Variables -- 9.4 Interval Linear Programming -- 9.5 Absolute Value
Functionals -- 10. The Dual Simplex, Primal-Dual, and Complementary Pivot Methods -- 10.1 Dual Simplex Method -- 10.2 Computational Aspects of the Dual Simplex Method -- 10.3 Dual Degeneracy -- 10.4 Summary of the Dual Simplex Method
-- 10.5 Generating an Initial Primal-Optimal Basic Solution: The Artificial Constraint Method -- 10.6 Primal-Dual Method -- 10.7 Summary of the Primal-Dual Method -- 10.8 A Robust Primal-Dual Algorithm -- 10.9 The Complementary Pivot
Method -- 11. Postoptimality Analysis I -- 11.1 Sensitivity Analysis -- 11.2 Structural Changes -- 12. Postoptimality Analysis II -- 12.1 Parametric Analysis -- 12.2 The Primal-Dual Method Revisited -- 13. Interior Point Methods --
13.1 Optimization Over a Sphere -- 13.2 An Overview of Karmarkar’s Algorithm -- 13.3 The Projective Transformation T(X) -- 13.4 The Transformed Problem -- 13.5 Potential Function Improvement and Computational Complexity -- 13.6 A
Summary of Karmarkar’s Algorithm -- 13.7 Transforming a General Linear Program to Karmarkar Standard Form -- 13.8 Extensions and Modifications of Karmarkar’s Algorithm -- 13.9 Methods Related to Karmarkar’s Routine: Affine Scaling
Scaling Algorithms -- 13.10 Methods Related to Karmarkar’s Routine: A Path-Following Following Algorithm -- 13.11 Methods Related to Karmarkar’s Routine: Potential Reduction Algorithms -- 13.12 Methods Related to Karmarkar’s Routine: A
Homogeneous and Self-Dual Interior-Point, Method -- 14. Interior Point Algorithms for Solving Linear Complementarity Problems -- 14.1 Introduction -- 14.2 An Interior-Point, Path-Following Algorithm for LCP(q,M) -- 14.3 An
Interior-Point, Potential-Reduction Algorithm for LCP(q,M) -- 14.4 A Predictor-Corrector Algorithm for Solving LCP(q,M) -- 14.5 Large-Step Interior-Point Algorithms for Solving LCP(q,M) -- 14.6 Related Methods for Solving LCP(q, M) --
Appendix A: Updating the Basis Inverse -- Appendix B: Steepest Edge Simplex Methods -- Appendix C: Derivation of the Projection Matrix -- References -- Notation Index
ISBN:9781461334347
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 2
Keywords: Mathematics , Operations research , Decision making , Game theory , Mathematical optimization , Economic theory , Mathematics , Optimization , Operation Research/Decision Theory , Economic Theory/Quantitative Economics/Mathematical Methods , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-1994-9783642457388:ONLINE Show nearby items on shelf
Title:Control and Game Models of the Greenhouse Effect Economics Essays on the Comedy and Tragedy of the Commons
Author(s): Herman S. J Cesar
Date:1994
Size:1 online resource (226 p.)
Note:10.1007/978-3-642-45738-8
Contents:1 Introduction and Conclusions -- 2 Literature Review -- 2.1 Introduction -- 2.2 The Greenhouse Effect -- 2.3 Environmental Resource Models -- 2.4 The International Dimension -- 2.5 Summary and Conclusion -- 3 Sustainability, Emission
Reduction Technology and Human Capital -- 3.1 Introduction -- 3.2 The Rudimentary Model -- 3.3 Energy Related Capital -- 3.4 Human Capital Accumulation -- 3.5 Summary and Conclusions -- 4 Multi Country Modelling of the Greenhouse
Effect -- 4.1 Introduction -- 4.2 Differential Game Theory -- 4.3 Energy-Related Capital in a Multi-Country Model -- 4.4 Self-Enforcing International Cooperation -- 4.5 Renegotiation Proofness -- 4.6 Summary and Conclusions -- 5
Cooperation in a Second-Best World: Technology Transfers and Issue Linkage -- 5.1 Introduction -- 5.2 International Cooperation and Technology Transfers -- 5.3 Issue Linkage in International Environmental Problems -- 5.4 Summary and
Conclusions -- A -- A.l Local Stability Analysis for Section 3.3.1 -- A.2 Local Stability Analysis for Section 3.4.1 -- B -- B.l Routine to Calculate Riccati Coefficients -- B.2 Example Worked Out -- B.3 Linear-Quadratic Case Worked
Out -- B.4 Open-Loop Case -- B.5 Closed-Loop Case -- B.6 ParetoCase -- B.7 Comparison of the Open-loop, Feedback and Cooperative Case -- B.8 Renegotiation Proofness -- B.9 Specification of the Discrete Time Example -- C -- C.l
Description of Feedback Solution -- C.2 Proof of Theorems on Linkage -- Literature -- List of Figures -- List of Tables
ISBN:9783642457388
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Economics and Mathematical Systems: 416
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Economic theory , Environmental economics , Mathematics , Applications of Mathematics , Economic Theory/Quantitative Economics/Mathematical Methods , Environmental Economics
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Call number:SPRINGER-1994-9783034885140:ONLINE Show nearby items on shelf
Title:Foundations of Game Theory Noncooperative Games
Author(s): Nicolai N Vorob’ev
Date:1994
Size:1 online resource (496 p.)
Note:10.1007/978-3-0348-8514-0
Contents:Historical notes and references for the Foreword and Introduction -- 1 Noncooperative games -- 1 Noncooperative games and their components -- 2 Optimality principles in noncooperative games -- 3 Realizability of A-optimality
principles -- 4 Realizability of A-principles in metastrategies -- 5 Realizability of equilibrium situations in mixed strategies -- 6 Natural topology in games -- Notes and references for Chapter 1 -- 2 Finite noncooperative games -- 1
Finite noncooperative games -- 2 Dyadic games -- 3 Solution of general finite noncooperative games -- 4 On the structure of the set of equilibria in finite noncooperative games -- 5 The complexity of solution of finite noncooperative
games -- 6 Reduction to three-person games -- Notes and references for Chapter 3 -- 3 Two-person zero-sum games -- 1 Optimality in two-person zero-sum games -- 2 Basis of the maximin principle -- 3 Minimax theorems -- 4 Finitely
additive strategies -- 5 Analytic games on the unit square -- 6 Separable games -- 7 Convex games -- 8 Games with a simple payoff function -- 9 Games of timing -- Notes and references for Chapter 3 -- 4 Matrix games -- 1 Basic concepts
and propositions -- 2 Solution of matrix games of small format -- 3 Matrix games and linear programming -- 4 Description of all equilibrium situations in matrix and bimatrix games -- 5 Solution of matrix games with matrix payoffs of a
special form -- 6 Approximate methods for solving matrix games -- 7 Structure of the set of a matrix game -- Notes and references for Chapter 4 -- References -- Collections -- List of Joint Authors -- Index of Notations
ISBN:9783034885140
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Game theory , System theory , Calculus of variations , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods , Systems Theory, Control , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-1994-9783034884976:ONLINE Show nearby items on shelf
Title:Computational Optimal Control
Author(s):
Date:1994
Size:1 online resource (382 p.)
Note:10.1007/978-3-0348-8497-6
Contents:1 A Survey on Computational Optimal Control -- Issues in the Direct Transcription of Optimal Control Problems to Sparse Nonlinear Programs -- Optimization in Control of Robots -- Large-scale SQP Methods and their Application in
Trajectory Optimization -- Solving Optimal Control and Pursuit-Evasion Game Problems of High Complexity -- 2 Theoretical Aspects of Optimal Control and Nonlinear Programming -- Continuation Methods In Boundary Value Problems -- Second
Order Optimality Conditions for Singular Extremals -- Synthesis of Adaptive Optimal Controls for Linear Dynamic Systems -- Control Applications of Reduced SQP Methods -- Time Optimal Control of Mechanical Systems -- 3 Algorithms for
Optimal Control Calculations -- Second Order Algorithm for Time Optimal Control of a Linear System -- An SQP-type Solution Method for Constrained Discrete-Time Optimal Control Problems -- Numerical Methods for Solving Differential
Games, Prospective Applications to Technical Problems -- Construction of the Optimal Feedback Controller for Constrained Optimal Control Problems with Unknown Disturbances -- Repetitive Optimization for Predictive Control of Dynamic
Systems under Uncertainty -- Optimal Control of Multistage Systems Described by High-Index Differential-Algebraic Equations -- A New Class of a High Order Interior Point Method for the Solution of Convex Semiinfinite Optimization
Problems -- A Structured Interior Point SQP Method for Nonlinear Optimal Control Problems -- 4 Software for Optimal Control Calculations -- Automated Approach for Optimizing Dynamic Systems -- ANDECS: A Computation Environment for
Control Applications of Optimization -- Application of Automatic Differentiation to Optimal Control Problems -- OCCAL: A mixed symbolic-numeric Optimal Control CALculator -- 5 Applications of Optimal Control -- A Robotic Satellite with
Simplified Design -- Nonlinear Control under Constraints of a Biological System -- An Object-Oriented Approach to Optimally Describe and Specify a SCADA System Applied to a Power Network -- Near-Optimal Flight Trajectories Generated by
Neural Networks -- Performance of a Feedback Method with Respect to Changes in the Air-Density during the Ascent of a Two-Stage-To-Orbit Vehicle -- Linear Optimal Control for Reentry Flight -- Steady-State Modelling of Turbine Engine
with Controllers -- Shortest Paths for Satellite Mounted Robot Manipulators -- Optimal Control of the Industrial Robot Manutec r3
ISBN:9783034884976
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ISNM International Series of Numerical Mathematics : 115
Keywords: Engineering , Chemometrics , System theory , Calculus of variations , Computational intelligence , Control engineering , Economic theory , Engineering , Control , Systems Theory, Control , Calculus of Variations and Optimal Control Optimization , Economic Theory/Quantitative Economics/Mathematical Methods , Math. Applications in Chemistry , Computational Intelligence
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Call number:SPRINGER-1993-9789401722179:ONLINE Show nearby items on shelf
Title:Maximum Entropy and Bayesian Methods Paris, France, 1992
Author(s):
Date:1993
Size:1 online resource (450 p.)
Note:10.1007/978-94-017-2217-9
Contents:1. Bayesian Inference and Maximum Entropy -- Intersubjectivity, Relativistic Covariance, and Conditionals (A New Axiomatization) -- Game Theoretical Equilibrium, Maximum Entropy and Minimum Information Discrimination -- Entropy,
Moments and Probability Theory -- Bayes-Optimal Visualization of Vector Fields -- A Survey of Convergence Results for Maximum Entropy Methods -- Maximum Entropy Method and Digital Filter Design -- A Theoretical Performance Analysis of
Bayesian and Information Theoretic Image Segmentation Criteria -- On Application of Maxent to Solving Frediiolm Integral Equations -- An Algorithm to Process Signals Conveying Statistical Information -- Generalization of the Maximum
Entropy Concept and Certain ARMA Processes -- Making Sense of Quantum Mechanics: Why You Should Believe in Hidden Variables -- Bayesian Methods and Court Decision-Making -- Wigmore Diagrams and Bayes Networks -- An Invariance Principle
for Updating Probabilities -- Alpha, Evidence, and the Entropic Prior -- Uniformly Distributed Sequences and the Maximum Entropy Principle -- Duality without Tears -- 2. Quantum Physics and Quantum Information -- Entropy, Chaos, and
Quantum Mechanics -- Phase-Space Priors in Information Entropy -- Maximum Entropy Descriptions of Quantum Wave Functions -- Towards Quantum ?—Entropy and Validity of Quantum Information -- Quantum Statistical Inference -- Dual
Measurements and Information in Quantum Optics -- Quantum Entropies and Their Maximizations -- Information Dynamics and Its Application to Gaussian Communication Processes -- Quantum Mechanics — How Weird for Bayesians? -- 3. Time
Series -- Speech Processing Using Bayesian Inference -- A Bayesian Method for the Detection of Unknown Periodic and Nonperiodic Signals in Binned Time Series -- Noise in the Underdetermined Problem -- 4. Inverse Problems --
Deconvolution with an Unknown Point—Spread Function -- Maximum Entropy and Linear Inverse Problems. A Short Review -- Bayesian Maximum Entropy Image Reconstruction from the Scattered Field Data -- Maximum Entropy Image Reconstruction
in Eddy Current Tomography -- 5. Applications -- Conductivity-Depth-Imaging of Airborne Electromagnetic Step-Response Data Using Maximum Entropy -- Bayesian Source Estimation from Potential Field Data -- Crystal Phase Dynamics --
Diffraction from Particles of Unknown Shape -- Maxent Enhancement of 2D Projections from 3D Phased Fourier Data: An Application to Polarised Neutron Diffraction -- Relative Entropy and the Dempster-Laird-Rubin EM Algorithm: Application
to the Autofocus Problem in ISAR Imaging -- Bayesian Analysis for Fault Location Based on Finite Element Models -- Pyramid Images -- Fine Structure in the Sunspot Record -- Topological Correlations in 2D Random Cellular Structures --
Analysis of DNA Oligonucleotide Hybridization Data: By Maximum Entropy -- 6. Image Restoration and Reconstruction -- Bayesian Image Classification Using Markov Random Fields -- Global Bayesian Estimation, Constrained Multiscale Markov
Random Fields and the Analysis of Visual Motion -- Critical Properties of the 2D Ising Model: A Markovian Approach -- A Comparison of Different Prior Laws for Bayesian Image Reconstruction in Positron Emission Tomography -- Flexible
Prior Models in Bayesian Image Analysis -- Generalized maximum entropy. Comparison with classical maximum entropy -- Binary Task Performance on Images Reconstructed Using MEMSYS 3: Comparison of Machine and Human Observers -- 3D
Reconstruction from Only Two Projections? -- A Closed Form Maximum Entropy Approach for Reconstructing Image from Incomplete Projections -- Key Words Index -- Authors Index
ISBN:9789401722179
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 53
Keywords: Computer science , Image processing , Physics , Computer Science , Image Processing and Computer Vision , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1993-9789401581240:ONLINE Show nearby items on shelf
Title:Fundamentals of Convex Analysis Duality, Separation, Representation, and Resolution
Author(s): Michael J Panik
Date:1993
Size:1 online resource (296 p.)
Note:10.1007/978-94-015-8124-0
Contents:1. Preliminary Mathematics -- 1.1. Vector Spaces and Subspaces -- 1.2. The Solution Set of a System of Simultaneous Linear Equations -- 1.3. Point-set Theory: Topological Properties of Rn -- 1.4. Hyperplanes and Half-planes (-spaces)
-- 2. Convex Sets in Rn -- 2.1. Convex Sets -- 2.2. Convex Combination -- 2.3. Convex Hull -- 3. Separation and Support Theorems -- 3.1. Hyperplanes and Half-planes Revisited -- 3.2. Existence of Separating and Supporting Hyperplanes
-- 3.3. Separation Renders Disjoint Alternatives -- 4. Convex Cones in Rn -- 4.1. Convex Cones -- 4.2. Finite Cones -- 4.3. Conical Hull -- 4.4. Extreme Vectors, Half-lines, and Half-spaces -- 4.5. Extreme Solutions of Homogeneous
Linear Inequalities -- 4.6. Sum Cone and Intersection Cone Equivalence -- 4.7. Additional Duality Results for Finite Cones -- 4.8. Separation of Cones -- 5. Existence Theorems for Linear Systems -- 5.1. Dual Homogeneous Linear
Relations -- 5.2. Existence Theorems -- 6. Theorems of the Alternative for Linear Systems -- 6.1. The Structure of a Theorem of the Alternative -- 6.2. Theorems of the Alternative -- 6.3. Homogeneous Inequalities/Equalities Under
Convex Combination -- 7. Basic Solutions and Complementary Slackness in Pairs of Dual Systems -- 7.1. Basic Solutions to Linear Equalities -- 7.2. Moving From One Basic (Feasible) Solution to Another -- 7.3. Complementary Slackness in
Pairs of Dual Systems -- 8. Extreme Points and Directions for Convex Sets -- 8.1. Extreme Points and Directions for General Convex Sets -- 8.2. Convex Hulls Revisited -- 8.3. Faces of Polyhedral Convex Sets: Extreme Points, Facets, and
Edges -- 8.4. Extreme Point Representation for Polyhedral Convex Sets -- 8.5. Directions for Polyhedral Convex Sets -- 8.6. Combined Extreme Point and Extreme Direction Representation for Polyhedral Convex Sets -- 8.7. Resolution of
Convex Polyhedra -- 8.8. Separation of Convex Polyhedra -- 9. Simplicial Topology and Fixed Point Theorems -- 9.1. Simplexes -- 9.2. Simplicial Decomposition and Subdivision -- 9.3. Simplicial Mappings and Labeling -- 9.4. The
Existence of Fixed Points -- 9.5. Fixed Points of Compact Point-to-Point Functions -- 9.6. Fixed Points of Point-to-Set Functions -- Appendix: Continuous and Hemicontinuous Functions -- References -- Notation Index
ISBN:9789401581240
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Theory and Decision Library, Series B: Mathematical and Statistical Methods : 24
Keywords: Mathematics , Game theory , Convex geometry , Discrete geometry , Mathematical optimization , Economic theory , Mathematics , Convex and Discrete Geometry , Optimization , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1993-9781461203490:ONLINE Show nearby items on shelf
Title:Advances in Nonlinear Dynamics and Control: A Report from Russia
Author(s):
Date:1993
Size:1 online resource (278 p.)
Note:10.1007/978-1-4612-0349-0
Contents:The Decomposition of Controlled Dynamic Systems -- A Differential Game for the Minimax of a Positional Functional -- Global Methods in Optimal Control Theory -- On the Theory of Trajectory Tubes — a Mathematical Formalism for
Uncertain Dynamics, Viability and Control -- A Theory of Generalized Solutions to First-Order PDEs with an Emphasis on Differential Games -- Adaptivity and Robustness in Automatic Control Systems
ISBN:9781461203490
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Systems and Control Theory : 17
Keywords: Science , Science, general , Science, general
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Call number:SPRINGER-1992-9784431681892:ONLINE Show nearby items on shelf
Title:Global Interdependence Simulation and Gaming Perspectives Proceedings of the 22nd International Conference of the International Simulation and Gaming Association (ISAGA) Kyoto, Japan: 15–19 July 1991
Author(s):
Date:1992
Size:1 online resource (341 p.)
Note:10.1007/978-4-431-68189-2
Contents:Section 1 Professional and Methodological Issues -- Preparing the Gaming Profession to Deal with Problems of the Twenty-first Century -- Applying Principles of Graphic Design to Game Design -- A Global Model of Simulation and Game
Evaluation -- Information Technology and Simulation Games -- Towards a Concept of Meta-Game: Some Applied Results -- Software to Communicate Global Models -- Modeling Organizations with Visual Agents -- Future Perspectives for Global
Modeling -- Behavioral/Social System Simulation -- Section 2 Communication and Culture -- Communication and Understanding Around the World -- Synchrony in Intercultural Communication -- Global Network Simulation: An Environment for
Global Awareness -- Global University for Global Peace Gaming -- Establishing Cross-Cultural Connections in the Classroom -- Collaborative Creation of Adventure Games in the ESL One-Computer Classroom -- Chinese Word Games for School
Children -- Simulation/Gaming for Language Learning in China -- Training International Commercial Negotiators Through Simulation -- Global Modelling: A Game-Generating Game -- Simulation Structure and Attitude Change in a High
Technology Culture -- Section 3 Environmental and Developmental Issues -- Introducing Gaming-Simulations into the Planning Process in a Developing Country -- The NEW COMMONS GAME -- Asian Agriculture: A Tragedy of the Commons in the
Making? -- Three Simulation/Games and Their Impact on Participants -- Global Change and the Cross-Cultural Transfer of Policy Games -- Policy Exercises on Global Environmental Problems -- An Open Simulation-Game with a TV Studio as a
Tool for Long-Term Policy Formation -- A Computer-Supported Meeting Environment for Policy Exercises -- Municipal Planning Room for Policy Exercises -- Space Influences on Earth’s Ecological and Economic Systems -- Section 4 Economics
and Business -- Global Changes in Business and Economics -- An Econometric Simulation Model: The Case of FUGI/MS -- Managing Post-Communist Economy: A Gaming/Simulation Study -- Strategic Decision Making in Business Gaming --
Management Games in the International Business Classroom -- Business and Engineering Gaming in the Ukraine -- Stock Market Simulation -- Using Spreadsheets for Complex Business Simulations -- A Holistic Approach to Using a Marketing
Strategy Simulation -- Simulation Gaming and the Improvement of Quality -- Section 5 Assembled Abstracts -- Building More Meaning into the Organizational Modeling Process -- Organizational Modeling: Rationales, Issues, and Methods --
Using a Simulation Tool for Defining Global Problems -- A Proposal for the Development of an International Business Simulation Laboratory -- Law, Contract, and Power -- Design of a Computer Game for Managing an Apparel Retail Store --
A Micro World for Kanji Learning -- Game Paradigm CAI -- Residents’ Attitude Shifts in an Environmental Dispute: A Case Study on a Golf Course Location Dispute -- Future Status of Airborne Infectious Diseases: Evolution and Eradication
-- Development of a Game-Wise CAI and the Prerequisites -- Heat Trap: Methodological Considerations for a Policy Exercise on Greenhouse Gas Emissions -- History Education and the Use of Simulation/Games -- Modeling and Managing a Top
Management Game by an Expert System Tool -- Differences that Make a Difference: Intercultural Communication, Simulation, and the Debriefing Process -- Capturing Organizational Knowledge Through Modeling -- Modeling and Diagnosing a
Misconception by Hypothesis-Based Reasoning for ITS -- On Problem Solving and Decision Making of MUSAS, a Musical Arrangement System -- Simulation of Polarization from Each Group Decision -- Gaming/Simulation for Research into Road
Pricing -- A Simulation Based on a Self-Referential Model of Organizational Intelligence -- Business Games in Managerial Training/Development and the Transition to a Free Market Economy -- A Simplified Simulation Model for Country Risk
Evaluation -- Analysis and Simulation of Credential Competition -- Strategy Formation in Universities: Changing Strategic Decision Processes of Loosely Coupled Systems Through Information Technologies -- Concept Formation Model of the
Shape of Two-Dimensional Multimodal Functions and Its Application to Optimization -- A Classroom Simulator for Computer Language Education -- One Step Beyond: Problems with Traditional Game Evaluation -- Automating Model Formulation
for Decision Support -- A Simulation Approach to Process Modeling in Information Systems Analysis and Design
ISBN:9784431681892
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Game theory , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1992-9783662096642:ONLINE Show nearby items on shelf
Title:Rational Interaction Essays in Honor of John C. Harsanyi
Author(s):
Date:1992
Size:1 online resource (438 p.)
Note:10.1007/978-3-662-09664-2
Contents:I. Cooperative Game Theory -- The Consistent Shapley Value for Games without Side Payments -- Fictitious-Transfer Solutions in Cooperative Game Theory -- The Finagle Point for Characteristic Function Games -- Voting Count and Account
-- Fee Games: (N)TU-Games with Incomplete Information -- A Non-Cooperative Interpretation of Value and Potential -- II. Mechanism Design -- Types Decomposition and Perfect Implementations -- Fair Division under Asymmetric Information
-- Non-Transferable Utility and Bayesian Incentives -- III. Basic Questions of Non-Cooperative Game Theory -- Equilibrium Selection Unilateral Deviation Stability -- Determinacy and Rational Choice -- Inductive Reasoning in Repeated
Games -- IV. Game Models -- Price-Quantity Oligopoly with Adjustment Costs -- A Demand Commitment Model of Coalition Bargaining -- The Reconciliation of Micro and Macro Economics -- V. Utilitarianism and Related Topics -- Harsanyi’s
Utilitarian Theorem: A Simpler Proof and Some Ethical Connotations -- Evolution and Convention: Social Contract IV -- Sex Differentiation in Annuities: Reflections on Utilitarianism and Inequality -- Utilitarianism, the Difference
Principle, and the Veil of Ignorance: An Application of the Theory of Social Situations -- Bernoulli, Harsanyi, and the Principle of Temporal Good -- VI. Reflections -- Economics and Thermodynamics: von Neumann’s Problematic Conjecture
-- Game Theory, Symmetry, and Scientific Discovery -- John C. Harsanyi, System Builder and Conceptual Innovator -- List of Publications of John C. Harsanyi
ISBN:9783662096642
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Operations research , Decision making , Probabilities , Economic theory , Mathematics , Probability Theory and Stochastic Processes , Operation Research/Decision Theory , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1992-9783642499814:ONLINE Show nearby items on shelf
Title:The Stability Concept of Evolutionary Game Theory A Dynamic Approach
Author(s):
Date:1992
Size:1 online resource (129 p.)
Note:10.1007/978-3-642-49981-4
Contents:1. Introduction -- 2. Frequency-Dependent Evolution in a Single Haploid Species -- 1. Pure and Mixed Strategies -- 2. Monomorphic ESS’s and Stability -- 3. The Hawk-Dove Game -- 4. The Static Characterization of an ESS -- 5. Stability
for the Continuous Dynamic -- 6. The Strong Stability Concept and the Dynamic Characterization of an ESS -- 7. Stability for the Discrete Dynamic -- 8. Alternative Proof of Theorem 2.5.2 -- 9. Nonlinear Fitness Functions -- 10.
Appendix on Centre Manifold Theory -- 3. Frequency-Dependent Evolution in a Two-Species Haploid System -- 1. Frequency-Dependent Fitness -- 2. Monomorphic ESS’s and Stability -- 3. Examples: Battle-of-the-Sexes and Edgeworth Market
Games -- 4. The Static Characterization of a Two-Species ESS -- 5. Strong Stability for the Continuous Dynamic -- 6. Multi-Species Frequency-Dependent Evolution -- 4. Frequency-Dependent Evolution in a Randomly-Mating Diploid Species
-- 1. Natural Selection as an Evolutionary Game -- 2. Single-Locus Models -- 3. Two-Phenotype, Frequency-Dependent Evolution at a Single Locus -- 4. Multi-Phenotype, Frequency-Dependent Evolution at a Single Locus -- 5. A Two-Locus,
Two-Allele, Two-Phenotype Example -- 5. Frequency- and Density-Dependent Evolution in a Haploid Species -- 1. Frequency- and Density-Dependent Fitness (and the Haploid Dynamic) -- 2. Monomorphic DDESS’s and Stability -- 3. The
Density-Dependent Hawk-Dove Game -- 4. The DDESS Conditions and Strong Stability -- 5. Density-Dependent Natural Selection as a Haploid Evolutionary Game -- 6. Evolutionary Stability in Multi-Species Population-Dynamic Models -- An
Intermission -- 6. Evolutionary Stable Sets and Contestant Information -- 1. A Mixed-Strategy Hawk-Dove Game -- 2. The Static Characterization of an ES Set -- 3. The Dynamic Characterization of an ES Set -- 4. The Hawk-Dove Game with
Varying Resource -- 5. ES Sets for Games in Extensive Form -- 6. The Owner-Intruder Game -- 7. Multi-Stage Games -- 7. References -- 8. Index
ISBN:9783642499814
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Biomathematics: 94
Keywords: Mathematics , Ecology , Biomathematics , Statistics , Economic theory , Mathematics , Mathematical and Computational Biology , Economic Theory/Quantitative Economics/Mathematical Methods , Statistics for Life Sciences, Medicine, Health Sciences , Ecology
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Call number:SPRINGER-1991-9783662026748:ONLINE Show nearby items on shelf
Title:Game Equilibrium Models I Evolution and Game Dynamics
Author(s):
Date:1991
Size:1 online resource (330 p.)
Note:10.1007/978-3-662-02674-8
Contents:to the Series “Game Equilibrium Models” -- to Volume I: “Evolution and Game Dynamics” -- Game Theory and Population Dynamics in Complex Genetical Systems: The Role of Sex in Short Term and in Long Term Evolution -- Evolutionary
Stability and Dynamic Stability in a Class of Evolutionary Normal Form Games -- Anticipatory Learning in Two-Person Games -- The Origin of Isogamous Sexual Differentiation -- The Evolutionary Stability of Bluffing in a Class of
Extensive Form Games -- Pollinator Foraging and Flower Competition in a Game Equilibrium Model -- To Trade, or Not to Trade That Is the Question -- Competition Avoidance in a Dragonfly Mating System -- On the Evolution of Group-Based
Altruism
ISBN:9783662026748
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Evolutionary biology , Probabilities , Biomathematics , Statistics , Economic theory , Mathematics , Probability Theory and Stochastic Processes , Evolutionary Biology , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences
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Call number:SPRINGER-1991-9783642582424:ONLINE Show nearby items on shelf
Title:Stability and Perfection of Nash Equilibria
Author(s): Eric van Damme
Date:1991
Edition:2
Size:1 online resource (339 p.)
Note:10.1007/978-3-642-58242-4
Contents:1 Introduction -- 1.1 Informal Description of Games and Game Theory -- 1.2 Dynamic Programming -- 1.3 Subgame Perfect Equilibria -- 1.4 Sequential Equilibria and Perfect Equilibria -- 1.5 Perfect, Proper and Persistent Equilibria --
1.6 Essential Equilibria and Regular Equilibria -- Notes -- 2 Games in Normal Form -- 2.1 Preliminaries -- 2.2 Perfect Equilibria -- 2.3 Proper Equilibria -- 2.4 Essential Equilibria -- 2.5 Regular Equilibria -- 2.6 An “Almost all”
Theorem -- Notes -- 3 Matrix and Bimatrix Games -- 3.1 Preliminaries -- 3.2 Perfect Equilibria -- 3.3 Regular Equilibria -- 3.4 Characterizations of Regular Equilibria -- 3.5 Matrix Games -- Notes -- 4 Control Costs -- 4.1 Introduction
-- 4.2 Games with Control Costs -- 4.3 Approachable Equilibria -- 4.4 Proper Equilibria -- 4.5 Perfect Equilibria -- 4.6 Regular Equilibria -- Notes -- 5 Incomplete Information -- 5.1 Introduction -- 5.2 Disturbed Games -- 5.3 Firm
Equilibria -- 5.4 Perfect Equilibria -- 5.5 Weakly Proper Equilibria -- 5.6 Strictly Proper Equilibria and Regular Equilibria -- 5.7 Proofs of the Theorems of Sect. 5.5 -- Notes -- 6 Extensive Form Games -- 6.1 Definitions -- 6.2
Equilibria and Subgame Perfectness -- 6.3 Sequential Equilibria -- 6.4 Perfect Equilibria -- 6.5 Proper Equilibria -- 6.6 Control Costs -- 6.7 Incomplete Information -- Notes -- 7 Bargaining and Fair Division -- 7.1 Introduction -- 7.2
Divide and Choose -- 7.3 Auction Methods -- 7.4 Bargaining Problems and Bargaining Solutions -- 7.5 The Nash Negotiation Game -- 7.6 The Rubinstein/Binmore Model -- 7.7 The Crawford/Moulin Model -- 7.8 Bargaining Games with Variable
Threat Point -- Notes -- 8 Repeated Games -- 8.1 Introduction -- 8.2 Preliminaries -- 8.3 Infinitely Repeated Games Without Discounting -- 8.4 Infinitely Repeated Games with Discounting: Nash Equilibria -- 8.5 Infinitely Repeated Games
with Discounting: Subgame Perfect Equilibria -- 8.6 Finitely Repeated Games: Nash Equilibria -- 8.7 Finitely Repeated Games: Subgame Perfect Equilibria -- 8.8 Renegotiation-Proof Equilibria -- Notes -- 9 Evolutionary Game Theory -- 9.1
Introduction -- 9.2 Evolutionarily Stable Strategies -- 9.3 Strategic Stability of ESS -- 9.4 Population Dynamics -- 9.5 Asymmetric Contests: Examples and the Model -- 9.6 Asymmetric Contests: Results -- 9.7 Contests in Extensive Form:
Definitions -- 9.8 Contests in Extensive Form: Results -- Notes -- 10 Strategic Stability and Applications -- 10.1 Equivalence of Games -- 10.2 Requirements for Strategic Stability -- 10.3 Stable Equilibria -- 10.4 Signalling Games:
Introduction -- 10.5 Signalling Games: Dominance, Intuitive Arguments and Stability -- 10.6 Spence’s Job Market Signalling Model -- 10.7 The Chain Store Paradox -- 10.8 Repeated Games -- Notes -- References -- Survey Diagrams
ISBN:9783642582424
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Operations research , Decision making , Probabilities , Economic theory , Mathematics , Probability Theory and Stochastic Processes , Economic Theory/Quantitative Economics/Mathematical Methods , Operation Research/Decision Theory
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Call number:SPRINGER-1990-9783642743313:ONLINE Show nearby items on shelf
Title:Convexity Methods in Hamiltonian Mechanics
Author(s): Ivar Ekeland
Date:1990
Size:1 online resource (247 p.)
Note:10.1007/978-3-642-74331-3
Contents:I. Linear Hamiltonian Systems -- 1. Floquet Theory and Stability -- 2. Krein Theory and Strong Stability -- 3. Time-Dependence of the Eigenvalues of R (t) -- 4. Index Theory for Positive Definite Systems -- 5. The Iteration Formula --
6. The Index of a Periodic Solution to a Nonlinear Hamiltonian System -- 7. Examples -- 8. Non-periodic Solutions: The Mean Index -- II. Convex Hamiltonian Systems -- 1. Fundamentals of Convex Analysis -- 2. Convex Analysis on Banach
Spaces -- 3. Integral Functionals on L? -- 4. The Clarke Duality Formula -- III. Fixed-Period Problems: The Sublinear Case -- 1. Subquadratic Hamiltonians -- 2. An Existence Result -- 3. Autonomous Systems -- 4. Nonautonomous Systems
-- 5. Other Problems -- IV. Fixed-Period Problems: The Superlinear Case -- 1. Mountain-Pass Points -- 2. A Preliminary Existence Result -- 3. The Index at Mountain-Pass Points -- 4. Subharmonics -- 5. Autonomous Problems and Potential
Wells -- V. Fixed-Energy Problems -- 1. Existence, Length, Stability -- 2. Multiplicity in the Pinched Case -- 3. Multiplicity in the General Case -- 4. Open Problems
ISBN:9783642743313
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics: 19
Keywords: Mathematics , Partial differential equations , Game theory , Calculus of variations , Physics , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization , Theoretical, Mathematical and Computational Physics , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-1989-9789400923584:ONLINE Show nearby items on shelf
Title:Evolution and Control in Biological Systems Proceedings of the IIASA Workshop, Laxenburg, Austria, 30 November – 4 December 1987
Author(s):
Date:1989
Size:1 online resource (191 p.)
Note:10.1007/978-94-009-2358-4
Contents:I. Stability and Persistence for Ecological Models -- Stability Conditions for Two Predator One Prey Systems -- A Unified Approach to Persistence -- Reflections and Calculations on a Prey-Predator-Patch System Problem -- A Homotopy
Technique for a Linear Generalization of Volterra Models -- Cooperative Systems Theory and Global Stability of Diffusion Models -- II. Selection and Evolutionary Games -- The n-Person War of Attrition -- Mutation-Selection Models in
Population Genetics and Evolutionary Game Theory -- III. Demography for Structured Opulations -- Pair Formation in Age-Structured Populations -- The Markov Structure of Population Growth -- IV. Mathematical Models of the Immune
Response -- On a Generalized Mathematical Model of the Immune Response -- Recent Results in Mathematical Modeling of Infectious Diseases -- Applications of the Mathematical Model of Immunological Tolerance to Immunoglobulin Suppression
and AIDS -- Distribution of Recirculating Lymphocytes: A Stochastic Model Foundation -- V. Simulation and Control in Medicine -- Recent Progress in 3-D Computer Simulation of Tumor Growth and Treatment -- Mathematical Simulation of the
Immunomodulating Role of Energy Metabolism in Support of Synergism and Antagonism of the Compartments of an Immune System -- Interleukin 2 and Immune Response Control Mathematical Model
ISBN:9789400923584
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Immunology , Biochemistry , Mathematical models , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Biochemistry, general , Appl.Mathematics/Computational Methods of Engineering , Immunology
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Call number:SPRINGER-1989-9781461245407:ONLINE Show nearby items on shelf
Title:Mathematical Introduction to Linear Programming and Game Theory
Author(s): Louis Brickman
Date:1989
Size:1 online resource (132 p.)
Note:10.1007/978-1-4612-4540-7
Contents:1 Simultaneous Linear Equations -- 2 Linear Programming Foundations -- 3 The Simplex Algorithm -- 4 Dual Tableaux and Two-Phase Algorithms -- 5 Dual LP Problems -- 6 Matrix Games
ISBN:9781461245407
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Economic theory , Economics , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1988-9783540458838:ONLINE Show nearby items on shelf
Title:Mathematical Economics Lectures given at the 2nd 1986 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy June 25 – July 3, 1986
Author(s):
Date:1988
Size:1 online resource (142 p.)
Note:10.1007/BFb0078155
Contents:Some variational problems arising from mathematical economics -- Four lectures on the differentiable approach to general equilibrium theory -- Dynamic general equilibrium models — Two examples -- Topics in noncooperative game theory
ISBN:9783540458838
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1330
Keywords: Economic theory , Economics , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1987-9783642933653:ONLINE Show nearby items on shelf
Title:Modeling and Management of Resources under Uncertainty Proceedings of the Second U.S.-Australia Workshop on Renewable Resource Management held at the East-West Center, Honolulu, Hawaii, December 9–12, 1985
Author(s):
Date:1987
Size:1 online resource (322 p.)
Note:10.1007/978-3-642-93365-3
Contents:I Modelling/Biology -- Scale and Predictability in Ecological Modeling -- Behavioral Modelling and Resource Management -- Modeling for Biological Resource Management -- Optimal Harvest Policies for Fisheries with Uncertain Stock Sizes
-- Analysis of Environmental Influences on Population Dynamics -- Identification and Control of Stochastic Linear Multispecies Ecosystem Models -- An Evolutionary Response to Harvesting -- Density-Dependent Habitat Selection: A Tool
for More Effective Population Management -- II Controls/Techniques -- Approaches to Adaptive Policy Design for Harvest Management -- Computer-Intensive Methods for Fisheries Stock Assessment -- Variability in Ecosystem Models: A
Deterministic Approach -- Generating Reachable Set Boundaries for Discrete-Time Systems -- Uncertain Dynamical Systems: An Application to River Pollution Control -- Real Time Management of a Resource Consumption Model -- Control
Problems in Irrigation Management -- A Differential Game Between Two Players Harvesting from a Divided fishery -- III Management/Real Problems -- Groundwater-Based Agriculture in the Arid American West: Modeling the Transition to a
Steady-State Renewable Resource Economy -- Great Lakes Fisheries: Are Explicit Controls Necessary? -- Sampling Highly Aggregated Populations with Application to California Sardine-Management -- The Structure of Fishing Systems and the
Implementation of Management Policy -- Spatial Models of Tuna Dynamics in the Western Pacific: Is International Management Necessary? -- Examination of Institutional Structures in Multiple Resource, Multiple Management Systems: A
Control Theoretic Approach -- Optimal Harvesting of a Year-Class of Prawns
ISBN:9783642933653
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Biomathematics: 72
Keywords: Mathematics , Probabilities , Biomathematics , Statistics , Environmental economics , Mathematics , Probability Theory and Stochastic Processes , Environmental Economics , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences
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Call number:SPRINGER-1985-9789400951938:ONLINE Show nearby items on shelf
Title:Introduction to the Theory of Games
Author(s): J Szép
Date:1985
Size:1 online resource (392 p.)
Note:10.1007/978-94-009-5193-8
Contents:1. On equilibrium of systems -- 1.1. Basic ideas -- 1.2. Chains and traversable regions -- 1.3. Equilibrium point, stability set, equilibrium set -- 1.4. “Equilibrium properties” of equilibrium points and equilibrium sets -- 1.5. On
the existence of an equilibrium point -- 1.6. On the existence of stability sets -- 2. The n-person game -- 3. Existence theorems of equilibrium points -- 4. Special n-person games and methods to solve them -- 4.1. Mathematical
programming methods for the solution of n-person concave games -- 4.2. Generalized polyhedral games -- 4.3. Solution of n-person zero-sum concave-convex games -- 4.4. Concave games with unique equilibrium points -- 5. The Scarf-Hansen
algorithm for approximating an equilibrium point of a finite n-person game -- 6. The oligopoly game -- 6.1. The reduction principle -- 6.2. The general multiproduct case -- 6.3. The general linear case -- 6.4. The single-product case
-- 7. Two-person games -- 8. Bimatrix games -- 8.1. Basic definitions and some simple properties of bimatrix games -- 8.2. Methods for solving bimatrix games -- 8.3. Examples -- 9. Matrix games -- 9.1. Equilibrium and the minimax
principle -- 9.2. The set of equilibrium strategies -- 10. Symmetric games -- 11. Connection between matrix games and linear programming -- 12. Methods for solving general matrix games -- 12.1 Solution of matrix games by linear
programming -- 12.2. Method of fictitious play -- 12.3. von Neumann’s method -- 13. Some Special Games and methods -- 13.1. Matrices with saddle-points -- 13.2. Dominance relations -- 13.3. 2 x n games -- 13.4. Convex (concave) matrix
games -- 14. Decomposition of matrix games -- 15. Examples of matrix games -- 15.1. Example 1 -- 15.2. Example 2 -- 16. Games played over the unit square -- 17. Some special classes of games on the unit square -- 18. Approximate
solution of two- person zero-sum games played over the unit square -- 19. Two-person zero-sum games over metric spaces sequential games -- 20. Sequential games -- 20.1. Shapley’s stochastic game -- 20.2. Recursive games -- 21. Games
against nature -- 22. Cooperative games in characteristic function form -- 23. Solution concepts for n-person cooperative games -- 23.1. The von Neumann-Morgenstern solution -- 23.2. The core -- 23.3. The strong e-core -- 23.4. The
kernel -- 23.5. The nucleolus -- 23.6. The Shapley-value -- 24. Stability of pay-off configurations -- 25. A bargaining model of cooperative games -- 26. The solution concept of nash for n-person cooperative games -- 27. Examples of
cooperative games -- 27.1. A linear production game -- 27.2. A market game -- 27.3. The cooperative oligopoly game -- 27.4. A game theoretic approach for cost allocation: a case -- 27.5. Committee decision making as a game -- 28. Game
theoretical treatment of multicriteria decision making -- 29. Games with incomplete information -- 29.1. The Harsanyi-model -- 29.2. The Selten-model -- 29.3. Dynamic processes and games with limited information about the pay-off
function -- Epilogue -- References -- Name Index
ISBN:9789400951938
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications: 17
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1983-9783642688744:ONLINE Show nearby items on shelf
Title:Mathematical Programming The State of the Art Bonn 1982
Author(s):
Date:1983
Size:1 online resource (658 p.)
Note:10.1007/978-3-642-68874-4
Contents:I. About the XIth International Symposium on Mathematical Programming -- Program and Organizing Committee -- Welcoming Addresses -- List of Sponsors -- The Fulkerson Prize and the Dantzig Prize 1982 -- II. Mathematical Programming:
The State of the Art — Bonn 1982 -- Predictor-Corrector and Simplicial Methods for Approximating Fixed Points and Zero Points of Nonlinear Mappings -- Polyhedral Theory and Commutative Algebra -- Reminiscences About the Origins of
Linear Programming -- Penalty Functions -- Applications of the FKG Inequality and its Relatives -- Semi-Infinite Programming and Applications -- Applications of Matroid Theory -- Recent Results in the Theory of Machine Scheduling --
Submodular Functions and Convexity -- Recent developments in Algorithms and Software for Trust Region Methods -- Variable Metric Methods for Constrained Optimization -- Polyhedral Combinatorics -- Generalized Equations -- Generalized
Subgradients in Mathematical Programming -- Nondegeneracy Problems in Cooperative Game Theory -- Conic Methods for Unconstrained Minimization and Tensor Methods for Nonlinear Equations -- Min-Max Results in Combinatorial Optimization
-- Generalized Gradient Methods of Non-Differentiable Optimization Employing Space Dilatation Operations -- The Problem of the Average Speed of the Simplex Method -- Solution of Large Linear Systems of Equations by Conjugate Gradient
Type Methods -- Stochastic Programming: Solution Techniques and Approximation Schemes -- III. Scientific Program -- IV. List of Authors
ISBN:9783642688744
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computers , Computer science , Convex geometry , Discrete geometry , Calculus of variations , Combinatorics , Economic theory , Mathematics , Combinatorics , Convex and Discrete Geometry , Calculus of Variations and Optimal Control Optimization , Theory of Computation , Math Applications in Computer Science , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1983-9781461254300:ONLINE Show nearby items on shelf
Title:Political and Related Models
Author(s):
Date:1983
Size:1 online resource (396 p.)
Note:10.1007/978-1-4612-5430-0
Contents:1. The Process of Applied Mathematics -- 1. Introduction -- 2. Applied Mathematics as a Process -- 3. The Construction and Use of Mathematical Models -- 4. Planetary Motion: The Evolution of a Model -- 5. An Example from Psychology --
6. Concluding Remarks -- References -- 2. Proportional Representation -- 1. Introduction -- 2. Cumulative Voting -- 3. Single Transferable Vote -- 4. Cumulative Voting with Transfer of Surplus -- 5. Cumulative Voting with Transfer of
Surplus and Elimination of Low-Ranking Candidates -- 6. An Illustration of the Use of Cumulative Voting -- 7. STV versus CTV -- References -- Notes for the Instructor -- 3. Comparison Voting -- 1. Preview: Do the Rules of the Game Make
a Difference? -- 2. Introduction -- 3. Negative Voting in Two-Candidate Contests -- 4. Negative Voting in Three-Candidate Contests without a Runoff -- 5. Negative Voting in Three-Candidate Contests with a Runoff -- 6. Advantages of
Approval Voting -- 7. General Results for Approval Voting -- 8. The Possible Confounding Effects of a Poll -- 9. Approval Voting and Presidential Elections -- 10. Summary and Conclusions -- Solutions to Selected Exercises -- References
-- Notes for the Instructor -- 4. Modeling Coalitional Values -- 1. Introduction -- 2. Basic Concepts -- 3. Some Experiments -- 4. Some Pollution Models -- 5. Equitable User’s Fees -- 6. Economic Markets -- 7. Business Games --
References -- Notes for the Instructor -- 5. Urban Wastewater Management Planning -- 1. Introduction -- 2. Description of the Study Area and the Scenario -- 3. Environmental Engineering Design -- 4. Economic Analysis -- 5. Financial
Analysis -- 6. Environmental Impact Statement—Ecology -- 7. Public Participation -- 8. Political Science -- 9. Epilogue -- Notes for the Instructor -- 6. An Everyday Approach to Matrix Operations -- 1. Introduction to Vectors and
Matrices -- 2. Vector Addition, Subtraction, and Multiplication by Scalars -- 3. Vector Inner Product -- 4. Multiplication of a Matrix and a Vector -- 5. Matrix Addition, Subtraction, and Multiplication -- 6. Properties of Matrix
Operations and Special Matrices -- 7. Matrices and Profits -- Exercises -- Reference -- Notes for the Instructor -- 7. Sources of Applications of Mathematics in Ecological and Environmental Subject Areas, Suitable for Classroom Use --
1. Introduction -- 2. Probability Theory -- 3. Matrix and Linear Algebra -- 4. Calculus -- 5. Differential Equations -- 6. Game Theory -- 7. Graph Theory -- 8. Optimal Control Theory -- 9. Miscellaneous -- References -- 8. How To Ask
Sensitive Questions without Getting Punched in the Nose -- 1. Introduction -- 2. Definitions -- 3. The Randomized Response Method -- 4. Unrelated Question Model -- 5. Using the Randomized Response Method and the Unrelated Question
Model -- 6. Classroom Suggestions -- 7. Complements and Problems -- Appendix: Randomized Response Survey -- References -- Notes for the Instructor -- 9. Measuring Power in Weighted Voting Systems -- 1. Introduction -- 2. Simple
Examples -- 3. Measures in Voting Power -- 4. Additional Examples -- 5. Mini-Projects -- 6. Computational Aids -- 7. The Electoral College -- 8. Additional Voting Problems -- 9. Limits of the Mathematical Models -- References -- Notes
for the Instructor -- 10. To the (Minimal Winning) Victors Go the (Equally Divided) Spoils: A New Power Index for Simple n-Person Games -- 1. Introduction -- 2. Power Index Definition and Examples -- 3. Characterization Axioms -- 4.
Applications and Limitations -- 5. Concluding Remarks -- Exercises -- References -- Notes for the Instructor -- 11. Power Indices in Politics -- 1. Voting Games and Power Indices -- 2. Using the Power Indices -- 3. Characterizing the
Power Indices -- Solutions to Selected Exercises -- References -- Notes for the Instructor -- 12. Committee Decision Making -- 1. Introduction -- 2. Committee Decision-Making Experiment -- 3. Geometric Representation of the Situation
-- 4. Utility -- 5. Remarks on Models in Political Science -- 6. The Barycenter Model -- 7. The Pareto Model -- 8. The Core Model -- 9. General Discussion -- 10. The Arrow Theorem -- Appendix I: An Example of an Experiment -- Appendix
II: Mathematical Notes -- Notes for the Instructor -- 13. Stochastic Difference Equations with Sociological Applications -- 1. Difference Equation Models -- 2. Review of Probability and Statistics -- 3. Stochastic Difference Equations
-- Notes for the Instructor -- 14. The Apportionment Problem -- 1. The Basic Problem -- 2. Some Traditional Methods -- 3. Local Measures of Inequity -- 4. The Axiomatic Approach -- 5. The General Apportionment Problem -- 6. Conclusions
-- References
ISBN:9781461254300
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Economic theory , Economics , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1977-9781461263418:ONLINE Show nearby items on shelf
Title:Game Theory Lectures for Economists and Systems Scientists
Author(s): N. N Vorob’ev
Date:1977
Publisher:New York, NY : Springer New York
Size:1 online resource (179 p.)
Note:10.1007/978-1-4612-6341-8
Contents:1 Matrix games -- 1.1 Definition of a noncooperative game -- 1.2 Admissible situations and the equilibrium situation -- 1.3 Strategic equivalence of games -- 1.4 Antagonistic games -- 1.5 Saddle points -- 1.6 Auxiliary propositions
about extrema -- 1.7 Minimax equalities and saddle points -- 1.8 Matrix games -- 1.9 Mixed strategies -- 1.10 A mixed extension of a game -- 1.11 Existence of minimaxes in mixed strategies -- 1.12 Convex sets -- 1.13 The lemma on two
alternatives -- 1.14 The minimax theorem -- 1.15 The value of the game and optimal strategies -- 1.16 Three properties of the value of a game -- 1.17 An example: 2×2 games -- 1.18 A graphical solution of 2×n games -- 1.19 A graphical
solution of m×2 games -- 1.20 Sufficient criteria for the value of a game and optimal strategies -- 1.21 Domination of strategies -- 1.22 Diagonal games -- 1.23 Sets of optimal strategies in a matrix game -- 1.24 An example: 3×3 games
-- 1.25 Symmetric games -- 1.26 Matrix games and linear programming -- 2 Infinite antagonistic games -- 2.1 Introduction and motivation -- 2.2 Situations of ?-equilibrium ?-saddle points and ?-optimal strategies -- 2.3 ?-optimal
strategies and minimaxes -- 2.4 Mixed strategies -- 2.5 Properties of the value of a game and of optimal strategies -- 2.6 The Helly metric -- 2.7 Conditionally compact games -- 2.8 The basic theorem for conditionally compact games --
2.9 Continuous games on the unit square -- 2.10 Convex functions -- 2.11 Convex games pure optimal strategies for player II -- 2.12 Convex games optimal strategies for player I -- 2.13 Strictly convex games -- 2.14 Examples of convex
games and their solutions -- 2.15 Market competition -- 2.16 Allocation of production capacities minimization of the maximal intensity of a production scheme -- 2.17 Allocation of production capacities under partial uncertainty -- 3
Noncooperative games -- 3.1 Mixed extensions of noncooperative games -- 3.2 Equilibrium situations -- 3.3 Nash’s theorem -- 3.4 Properties of equilibrium situations -- 3.5 Bi-matrix games -- 3.6 Solutions of bi-matrix games -- 3.7
Almost antagonistic games -- 3.8 Prisoner’s dilemma -- 3.9 The battle of the sexes -- 3.10 Noncooperative games with two pure strategies for each of the players -- 3.11 False advertising -- 3.12 Preservation of ecology -- 4 Cooperative
games -- 4.1 Characteristic functions -- 4.2 Characteristic functions of noncooperative games -- 4.3 Properties of characteristic functions for noncooperative games -- 4.4 Imputations and cooperative games -- 4.5 Essential and
inessential games -- 4.6 Strategic equivalence of cooperative games -- 4.7 Zero games -- 4.8 The 0-1 reduced form -- 4.9 Classification of cooperative games with a small number of players -- 4.10 Dominance of imputations -- 4.11 The
core of a game -- 4.12 The core of a general three-person game -- 4.13 von Neumann-Morgenstern solutions -- 4.14 vN-M solutions for three person constant sum games -- 4.15 vN-M solutions for general three-person cooperative games --
4.31 Shapley’s vector axiomatization -- 4.32 Shapley’s vector existence and determination -- 4.33 Examples of Shapley vectors -- Exercises -- Selected bibliography
ISBN:9781461263418
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applications of Mathematics, Applied Probability Control Economics Information and Communication Modeling and Identification Numerical Techniques Optimization: 7
Keywords: Mathematics , System theory , Calculus of variations , Economic theory , Mathematics , Systems Theory, Control , Calculus of Variations and Optimal Control Optimization , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1975-9783642808951:ONLINE Show nearby items on shelf
Title:Optimization in Structural Design Symposium Warsaw/Poland August 21–24, 1973
Author(s):
Date:1975
Size:1 online resource (586 p.)
Note:10.1007/978-3-642-80895-1
Contents:Welcome Address -- Welcome Address -- Session 1. Mathematical Methods -- A Graph Problem of Structural Design -- Applications of Optimal Control Theory to Structural Optimization: Analytical and Numerical Approach -- Interactive and
Automated Design of Ship Structures -- On Variational Formulations for Structures Design Problems -- Session 2. Mathematical Methods -- Optimal Control of the Consolidation Process -- On Singularities, Local Optima, and Formation of
Stiffeners in Optimal Design of Plates -- A Variational Formulation of the Optimal Plastic Design Problem with Linear and Convex Cost Function -- Session 3. Mathematical Programming -- Game Problems in the Theory of Optimal Design --
Application of Dynamic Programming to Optimization of Structures -- Session 4. Dynamics -- Optimum Design of a Circular Shaft in Forward Precession -- Optimal Design Criteria of Dynamically Loaded Elastic Structures -- Optimal Design
for Stability under Dissi-pative, Gyroscopic, or Circulator Loads -- Session 5. Shape Optimisation -- On the Optimum Shape of a Fillet in a Flat Bar with Restrictions -- Optimal Design of Suspension Systems -- On Conservatively Loaded
Funicular Arches and their Optimal Design -- Session 6. Shells -- Optimal Design of Shells with Respect to Their Stability -- On the Optimum Shapes of Some Axisym-metric Shells -- Session 7. Panel Discussion “Experience with Optimal
Design” -- Session 8. Probabilistic Methods -- Cost-Effectiveness of Research in Design under Uncertainty -- Optimal Criteria in Probabilistic Structural Design -- Session 9. Frameworks -- Optimum Plastic Design of Unbraced Frameworks
-- Symmetric Plane Frameworks of Least Weight -- Optimum Truss Design Using Approximating Functions -- Session 10. Reinforced Structures -- Optimal Force Transmission by Flexure — The Present State of Knowledge -- Optimum Design of
Fiber Reinforced Shells of Revolution -- Optimal Design of Reinforced Concrete Chimneys -- Session 11. Shakedown Design -- On Optimum Shakedown Design -- Limit Design of Frames for Movable Loads by Linear Programming -- Optimal Design
for Cyclic Loading -- Session 12. Mathematical Methods -- Optimality in the Presence of Discreteness and Discontinuity -- On Optimization Theory in Mechanics of Solids -- A Variational Principle, the Finite Element Method, and Optimal
Structural Design for Given Deflection -- Session 13. Plastic Structures -- Effect of Shear Forces on Optimal Design of Plastic Beams and Plates -- The Minimum Weight Design of Multi-Story Building Frames Based upon the Axial
Force-Bending Moment Interaction Yield Condition -- Post-Yield Behaviour of Optimal Plastic Structures -- Session 14. Plastic Structures -- Shape Optimization of Plastic Structures by Zero-One Programming -- On Optimal Design of
Strainhardening Structures -- Session 15. Short Communications -- Some Practical Applications of Structural Optimization -- On Formulation of Optimization Problems in Structural Design -- On Introducing a Concentrated Tangential Force
into a Shell -- Optimal Design of Plates Loaded by Two Opposite Sets of Loads
ISBN:9783642808951
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Engineering , Engineering , Engineering, general
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