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Dynamic Noncooperative Game Theory

Author : Tamer Başar
ISBN : 089871429X
Genre : Mathematics
File Size : 73. 6 MB
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An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.

Non Cooperative Game Theory

Author : Takako Fujiwara-Greve
ISBN : 9784431556459
Genre : Mathematics
File Size : 84. 41 MB
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This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.

Dynamic Noncooperative Game Theory

Author : Tamer Basar
ISBN : 1611971136
Genre : Mathematics
File Size : 51. 55 MB
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Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.

Noncooperative Game Theory

Author : João P. Hespanha
ISBN : 9780691175218
Genre : Mathematics
File Size : 50. 79 MB
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Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding. Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications. An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashion Topics explore zero-sum, non-zero-sum, and dynamics games MATLAB commands are included

Foundations Of Non Cooperative Game Theory

Author : Klaus Ritzberger
ISBN : 0199247854
Genre : Business & Economics
File Size : 76. 55 MB
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This textbook offers a comprehensive overview of the main developments in game theory since the 1950s. It provides a wide variety of examples and exercises, mostly drawn from applications in economics, to illustrate key concepts and ideas in the field. The book should prove an invaluable reference tool for teachers, students, and researchers of microeconomics and game theory.

Non Cooperative Game Theory

Author :
ISBN : OCLC:836969654
Genre :
File Size : 23. 11 MB
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Foundations Of Game Theory

Author : Nikolaj Nikolaevič Vorob'ev
ISBN : 0817623787
Genre : Mathematics
File Size : 42. 21 MB
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Game theory is a relatively new branch of mathematics, and information about its problems, achievements, and technical difficulties is still not widely disseminated. By now thousands of papers and dozens of monographs have been devoted to game theory, but they are either extremely basic or very specialized and none of these has offered an account of the foundations of game theory going beyond elementary questions. The aim of the present book is to fill this gap. It contains results on the theory of equilibrium points in noncooperative games with numerical pay-offs that are considered as the basic class of games. The introduction contains a detailed explanation of the fundamental methodological questions of game theory, including the general problems of optimality. The book's four chapters cover the problems of the general theory of noncooperative games, finite noncooperative games, the general theory of two-person zero-sum games and, finally, matrix games. The work is intended to be studied by mathematicians seeking an introductory, though hardly elementary, textbook on game theory, and by those whose specialities involve operations research and mathematical applications in the fields of economics, ecology and defense activities. It is self-contained and clearly written, requiring from the reader only a general mathematical background in calculus, fixed-point theory, linear algebra and probability theory. Contents: Preface Foreward Introduction Historical notes and references for the Foreward and Introduction Chapter 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 megastrategies 5 Realizability of equilibrium situations in mixed strategies 6 Natural toplogy in games Notes and references for Chapter 1 Chapter 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 equlibria in finite noncooperative games 5 The complexity of solution of finite noncooperative games 6 Reduction to three-person games Notes and references for Chapter 2 Chapter 3 Two-person zero-sum games 1 Optimality in two-person zero-sum games 2 Basis of the maximin principle 3 Minimax problems 4 Finite additive strategies 5 Analytic games on the unit sqaure 6 Seperable games 7 Convex games 8 Games with a simple payoff function 9 Games of timing Notes and references for Chapter 3 Chapter 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 game 7 Structure of the set of a matrix game Notes and references for Chapter 4 References Collections List of Joint Authors Index of Notations Index

Game Theory

Author : Drew Fudenberg
ISBN : 0262061414
Genre : Business & Economics
File Size : 63. 75 MB
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This advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. This advanced text introduces the principles of noncooperative game theory--including strategic form games, Nash equilibria, subgame perfection, repeated games, and games of incomplete information--in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.

Foundations Of Game Theory

Author : Nicolai N. Vorob'ev
ISBN : 9783034885140
Genre : Mathematics
File Size : 77. 90 MB
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The English edition differs only slightly from the Russian original. The main struc tural difference is that all the material on the theory of finite noncooperative games has been collected in Chapter 2, with renumbering of the material of the remain ing chapters. New sections have been added in this chapter: devoted to general questions of equilibrium theory in nondegenerate games, subsections 3.9-3.17, by N.N. Vorob'ev, Jr.; and § 4, by A.G. Chernyakov; and § 5, by N.N. Vorob'ev, Jr., on the computational complexity of the process of finding equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author regrets that the present edition does not reflect the important game-theoretical achievements presented in the splendid monographs by E. van Damme (on the refinement of equilibrium principles for finite games), as well as those by J.e. Harsanyi and R. Selten, and by W. Giith and B. Kalkofen (on equilibrium selection). When the Russian edition was being written, these direc tions in game theory had not yet attained their final form, which appeared only in quite recent monographs; the present author has had to resist the temptation of attempting to produce an elementary exposition of the new theories for the English edition; readers of this edition will find only brief mention of the new material.

Market Share Analysis And Non Cooperative Game Theory With Applications In Swiss Health Insurance

Author : Dalit Daily-Amir
ISBN : OCLC:1110603462
Genre :
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Thèse. HEC. 2019

Game Theory

Author : Roger A McCain
ISBN : 9789814578899
Genre : Mathematics
File Size : 54. 39 MB
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The objective of the third edition of Game Theory: A Nontechnical Introduction to the Analysis of Strategy is to introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus Learning Cycle, the book is intended to teach by example. Noncooperative equilibrium concepts such as Nash equilibrium play the central role. In this third edition, increased stress is placed on the concept of rationalizable strategies, which has proven in teaching practice to assist students in making the bridge from intuitive to more formal concepts of noncooperative equilibrium. The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]

Game Theory And Economic Modelling

Author : David M. Kreps
ISBN : 9780198283812
Genre : Mathematics
File Size : 24. 74 MB
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This book examines why game theory has become such a popular tool of analysis. It investigates the deficiencies in this methodology and goes on to consider whether its popularity will fade or remain an important tool for economists. The book provides the reader with some basic concepts from noncooperative theory, and then goes on to explore the strengths, weaknesses, and future of the theory as a tool of economic modelling and analysis. All those interested in the applications of game theory to economics, from undergraduates to academics will find this study of particular value.

Evolutionary Game Theory

Author : Jörgen W. Weibull
ISBN : 0262731215
Genre : Mathematics
File Size : 67. 78 MB
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Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.

Pareto Optimality Game Theory And Equilibria

Author : Panos M. Pardalos
ISBN : 9780387772479
Genre : Mathematics
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This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.

Introduction To The Theory Of Games

Author : Ferenc Forgó
ISBN : 0792357752
Genre : Business & Economics
File Size : 53. 7 MB
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Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.

Advances In Game Theory

Author : Louis A. Auslander
ISBN : 0691079021
Genre : Mathematics
File Size : 51. 59 MB
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The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.

Game Theory And Public Policy Second Edition

Author : Roger A. McCain
ISBN : 9781784710903
Genre : Business & Economics
File Size : 65. 5 MB
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This book provides a critical, selective review of concepts from game theory and their applications in public policy, and further suggests some modifications for some of the models (chiefly in cooperative game theory) to improve their applicability to economics and public policy.

Handbook On Game Theoretic Analysis

Author : Leon A. Petrosyan
ISBN : 9811202001
Genre :
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This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts. Part 1: Non-cooperative Games and Equilibrium Analysis In game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called "coalitions") are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field. Part 2: Cooperative Games and Axiomatic Values It is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.

Management Game Theory

Author : Shaorong Sun
ISBN : 9789811310621
Genre : Mathematics
File Size : 80. 71 MB
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This book primarily addresses various game theory phenomena in the context of management practice. As such, it helps readers identify the profound game theory principles behind these phenomena. At the same time, the game theory principles in the book can also provide a degree of guidance for solving practical problems.As one of the main areas in management research, there is already an extensive body of literature on game theory. However, it remains mainly theoretical, focusing on abstract arguments and purely numerical examples purely. This book addresses that gap, helping readers apply game theory in their actual management or research work.

The Theory Of Learning In Games

Author : Drew Fudenberg
ISBN : 0262061945
Genre : Mathematics
File Size : 85. 9 MB
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This work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.

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