Noncooperative Game Theory

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Noncooperative Game Theory

João P. Hespanha
Noncooperative Game Theory Book PDF

Author : João P. Hespanha
Publisher : Princeton University Press
Page : 242 pages
File Size : 45,6 Mb
Release : 2017-06-13
Category : Mathematics
ISBN : 9780691175218

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Noncooperative Game Theory by João P. Hespanha Pdf

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

Non-Cooperative Game Theory

Takako Fujiwara-Greve
Non Cooperative Game Theory Book PDF

Author : Takako Fujiwara-Greve
Publisher : Springer
Page : 260 pages
File Size : 44,6 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 9784431556459

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Non-Cooperative Game Theory by Takako Fujiwara-Greve Pdf

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.

Foundations of Game Theory

Nicolai N. Vorob'ev
Foundations of Game Theory Book PDF

Author : Nicolai N. Vorob'ev
Publisher : Birkhäuser
Page : 501 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034885140

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Foundations of Game Theory by Nicolai N. Vorob'ev Pdf

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.

Dynamic Noncooperative Game Theory

Tamer Basar,Geert Jan Olsder
Dynamic Noncooperative Game Theory Book PDF

Author : Tamer Basar,Geert Jan Olsder
Publisher : SIAM
Page : 534 pages
File Size : 43,9 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 1611971136

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Dynamic Noncooperative Game Theory by Tamer Basar,Geert Jan Olsder Pdf

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.

Game Theory in Wireless and Communication Networks

Zhu Han,Dusit Niyato,Walid Saad,Tamer Başar,Are Hjørungnes
Game Theory in Wireless and Communication Networks Book PDF

Author : Zhu Han,Dusit Niyato,Walid Saad,Tamer Başar,Are Hjørungnes
Publisher : Cambridge University Press
Page : 555 pages
File Size : 48,6 Mb
Release : 2012
Category : Business & Economics
ISBN : 9780521196963

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Game Theory in Wireless and Communication Networks by Zhu Han,Dusit Niyato,Walid Saad,Tamer Başar,Are Hjørungnes Pdf

This unified 2001 treatment of game theory focuses on finding state-of-the-art solutions to issues surrounding the next generation of wireless and communications networks. The key results and tools of game theory are covered, as are various real-world technologies and a wide range of techniques for modeling, design and analysis.

Economics and Computation

Jörg Rothe
Economics and Computation Book PDF

Author : Jörg Rothe
Publisher : Springer
Page : 612 pages
File Size : 45,9 Mb
Release : 2015-08-18
Category : Business & Economics
ISBN : 9783662479049

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Economics and Computation by Jörg Rothe Pdf

This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.

Foundations of Non-cooperative Game Theory

Klaus Ritzberger
Foundations of Non cooperative Game Theory Book PDF

Author : Klaus Ritzberger
Publisher : Oxford University Press on Demand
Page : 353 pages
File Size : 50,8 Mb
Release : 2002
Category : Business & Economics
ISBN : 0199247854

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Foundations of Non-cooperative Game Theory by Klaus Ritzberger Pdf

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.

Game Theory

Drew Fudenberg,Jean Tirole
Game Theory Book PDF

Author : Drew Fudenberg,Jean Tirole
Publisher : MIT Press
Page : 616 pages
File Size : 55,5 Mb
Release : 1991-08-29
Category : Business & Economics
ISBN : 9780262303767

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Game Theory by Drew Fudenberg,Jean Tirole Pdf

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.

Game Theory

Hans Peters
Game Theory Book PDF

Author : Hans Peters
Publisher : Springer
Page : 494 pages
File Size : 53,8 Mb
Release : 2015-06-04
Category : Mathematics
ISBN : 9783662469507

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Game Theory by Hans Peters Pdf

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

The Essential John Nash

John Nash
The Essential John Nash Book PDF

Author : John Nash
Publisher : Princeton University Press
Page : 272 pages
File Size : 49,7 Mb
Release : 2016-06-29
Category : Mathematics
ISBN : 9781400884087

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The Essential John Nash by John Nash Pdf

When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949. From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness. In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography. The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

Game Theory with Engineering Applications

Dario Bauso
Game Theory with Engineering Applications Book PDF

Author : Dario Bauso
Publisher : SIAM
Page : 298 pages
File Size : 41,9 Mb
Release : 2016-02-29
Category : Mathematics
ISBN : 9781611974270

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Game Theory with Engineering Applications by Dario Bauso Pdf

Engineering systems are highly distributed collective systems that have humans in the loop. Engineering systems emphasize the potential of control and games beyond traditional applications. Game theory can be used to design incentives to obtain socially desirable behaviors on the part of the players, for example, a change in the consumption patterns on the part of the ?prosumers? (producers-consumers) or better redistribution of traffic. This unique book addresses the foundations of game theory, with an emphasis on the physical intuition behind the concepts, an analysis of design techniques, and a discussion of new trends in the study of cooperation and competition in large complex distributed systems.?

The Theory of Learning in Games

Drew Fudenberg,David K. Levine
The Theory of Learning in Games Book PDF

Author : Drew Fudenberg,David K. Levine
Publisher : MIT Press
Page : 304 pages
File Size : 52,8 Mb
Release : 1998
Category : Business & Economics
ISBN : 0262061945

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The Theory of Learning in Games by Drew Fudenberg,David K. Levine Pdf

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.

A Game-Theoretic Perspective on Coalition Formation

Debraj Ray
A Game Theoretic Perspective on Coalition Formation Book PDF

Author : Debraj Ray
Publisher : Oxford University Press
Page : 336 pages
File Size : 40,6 Mb
Release : 2007-11
Category : Business & Economics
ISBN : 9780199207954

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A Game-Theoretic Perspective on Coalition Formation by Debraj Ray Pdf

Drawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.

Game Theory

A. J. Jones
Game Theory Book PDF

Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 49,6 Mb
Release : 2000-12
Category : Mathematics
ISBN : 1898563144

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Game Theory by A. J. Jones Pdf

This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.

Game Theory and Public Policy, SECOND EDITION

Roger A. McCain
Game Theory and Public Policy SECOND EDITION Book PDF

Author : Roger A. McCain
Publisher : Edward Elgar Publishing
Page : 320 pages
File Size : 44,6 Mb
Release : 2015-11-25
Category : Business & Economics
ISBN : 9781784710903

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Game Theory and Public Policy, SECOND EDITION by Roger A. McCain Pdf

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.