Perfect And Proper Refinements Of All Extreme Nash Equilibria For Bimatrix Games

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Refinements of the Nash Equilibrium Concept

Author : E. van Damme
Publisher : Springer Science & Business Media
ISBN 13 : 3642499708
Total Pages : 161 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Refinements of the Nash Equilibrium Concept by : E. van Damme

Download or read book Refinements of the Nash Equilibrium Concept written by E. van Damme and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, noncooperative games are studied. Since in a noncooperative game binding agreements are not possible, the solution of such a game has to be self enforcing, i. e. a Nash equilibrium (NASH [1950,1951J). In general, however, a game may possess many equilibria and so the problem arises which one of these should be chosen as the solution. It was first pointed out explicitly in SELTEN [1965J that I not all Nash equilibria of an extensive form game are qualified to be selected as the solution, since an equilibrium may prescribe irrational behavior at unreached parts of the game tree. Moreover, also for normal form games not all Nash equilibria are eligible, since an equilibrium need not be robust with respect to slight perturba tions in the data of the game. These observations lead to the conclusion that the Nash equilibrium concept has to be refined in order to obtain sensible solutions for every game. In the monograph, various refinements of the Nash equilibrium concept are studied. Some of these have been proposed in the literature, but others are presented here for the first time. The objective is to study the relations between these refine ments;to derive characterizations and to discuss the underlying assumptions. The greater part of the monograph (the chapters 2-5) is devoted to the study of normal form games. Extensive form games are considered in chapter 6.

Algorithmic Game Theory

Author : Burkhard Monien
Publisher : Springer Science & Business Media
ISBN 13 : 3540793089
Total Pages : 371 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Algorithmic Game Theory by : Burkhard Monien

Download or read book Algorithmic Game Theory written by Burkhard Monien and published by Springer Science & Business Media. This book was released on 2008-04-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Symposium on Algorithmic Game Theory, SAGT 2008, held in Paderborn, Germany, in April/May 2008. The 28 revised full papes presented together with 3 invited lectures were carefully reviewed and selected from 60 submissions. The papers are organized in topical sections on routing and scheduling, markets, mechanism design, potpourri of games, solution concepts, and cost sharing.

Report

Author :
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Report by :

Download or read book Report written by and published by . This book was released on 1992 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Game Theory

Author : Hans Peters
Publisher : Springer Science & Business Media
ISBN 13 : 3540692916
Total Pages : 362 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Game Theory by : Hans Peters

Download or read book Game Theory written by Hans Peters and published by Springer Science & Business Media. This book was released on 2008-08-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.

Twenty Lectures on Algorithmic Game Theory

Author : Tim Roughgarden
Publisher : Cambridge University Press
ISBN 13 : 1316781178
Total Pages : 356 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Twenty Lectures on Algorithmic Game Theory by : Tim Roughgarden

Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.

Stability and Perfection of Nash Equilibria

Author : Eric van Damme
Publisher : Springer Science & Business Media
ISBN 13 : 364296978X
Total Pages : 331 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Stability and Perfection of Nash Equilibria by : Eric van Damme

Download or read book Stability and Perfection of Nash Equilibria written by Eric van Damme and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen a steady increase in the application of concepts from noncooperative game theory to such diverse fields as economics, political science, law, operations research, biology and social psychology. As a byproduct of this increased activity, there has been a growing awareness of the fact that the basic noncooperative solution concept, that of Nash equilibrium, suffers from severe drawbacks. The two main shortcomings of this concept are the following: (i) In extensive form games, a Nash strategy may prescribe off the equilibrium path behavior that is manifestly irrational. (Specifically, Nash equilibria may involve incredible threats), (ii) Nash equilibria need not be robust with respect to small perturbations in the data of the game. Confronted with the growing evidence to the detriment of the Nash concept, game theorists were prompted to search for more refined equilibrium notions with better properties and they have come up with a wide array of alternative solution concepts. This book surveys the most important refinements that have been introduced. Its objectives are fourfold (i) to illustrate desirable properties as well as drawbacks of the various equilibrium notions by means of simple specific examples, (ii) to study the relationships between the various refinements, (iii) to derive simplifying characterizations, and (iv) to discuss the plausibility of the assumptions underlying the concepts.

Handbook of Game Theory with Economic Applications

Author : R.J. Aumann
Publisher : Elsevier
ISBN 13 : 9780444894274
Total Pages : 824 pages
Book Rating : 4.8/5 (942 download)

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Book Synopsis Handbook of Game Theory with Economic Applications by : R.J. Aumann

Download or read book Handbook of Game Theory with Economic Applications written by R.J. Aumann and published by Elsevier. This book was released on 1992 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Modeling Strategic Behavior: A Graduate Introduction To Game Theory And Mechanism Design

Author : George J Mailath
Publisher : World Scientific
ISBN 13 : 9813239956
Total Pages : 364 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Modeling Strategic Behavior: A Graduate Introduction To Game Theory And Mechanism Design by : George J Mailath

Download or read book Modeling Strategic Behavior: A Graduate Introduction To Game Theory And Mechanism Design written by George J Mailath and published by World Scientific. This book was released on 2018-12-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is impossible to understand modern economics without knowledge of the basic tools of gametheory and mechanism design. This book provides a graduate-level introduction to the economic modeling of strategic behavior. The goal is to teach Economics doctoral students the tools of game theory and mechanism design that all economists should know.

An Introduction to Game Theory

Author : Martin J. Osborne
Publisher : Oxford University Press, USA
ISBN 13 : 9780195322484
Total Pages : 533 pages
Book Rating : 4.3/5 (224 download)

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Book Synopsis An Introduction to Game Theory by : Martin J. Osborne

Download or read book An Introduction to Game Theory written by Martin J. Osborne and published by Oxford University Press, USA. This book was released on 2009-01 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text emphasizes the ideas behind modern game theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.

Finite and Infinite Games

Author : James Carse
Publisher : Simon and Schuster
ISBN 13 : 1451657293
Total Pages : 155 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis Finite and Infinite Games by : James Carse

Download or read book Finite and Infinite Games written by James Carse and published by Simon and Schuster. This book was released on 2011-10-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: “There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.

A Primer in Game Theory

Author : Roberto Lucchetti
Publisher : Società Editrice Esculapio
ISBN 13 : 8874884680
Total Pages : 168 pages
Book Rating : 4.8/5 (748 download)

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Book Synopsis A Primer in Game Theory by : Roberto Lucchetti

Download or read book A Primer in Game Theory written by Roberto Lucchetti and published by Società Editrice Esculapio. This book was released on 2011-03-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A game is an efficient model of interactions between agents, for the following basic reason: the players follow fixed rules, have interests on all possible final outcomes of the game, and the final result for them does not depend only from the choices they individually make, but also from the choices of other agents. Thus the focus is actually on the fact that in a game there are several agents interacting. In fact, more recently this theory took the name of Interactive Decision Theory. It is related to classical decision theory, but it takes into account the presence of more than one agent taking decisions. As we shall constantly see, this radically changes the background and sometimes even the intuition behind classical decision theory. So, in few words, game theory is the study of taking optimal decisions in presence of multiple players (agents). Thus a game is a simplified, yet very efficient, model of real life every day situa- tions. Though the first, and probably more intuitive, applications of the theory were in an economical setting, theoretical models and tools of this theory nowadays are spread on various disciplines. To quote some of them, we can start from psychology: a more modern approach than classical psychanalysis takes into account that the hu- man being is mainly an interactive agent. So to speak, we play everyday with our professors/students, with our parents/children, with our lover, when bargaining with somebody. Also the Law and the Social Sciences are obviously interested in Game Theory, since the rules play a crucial role in inducing the behaviour of the agents. Not many years after the first systematic studies in Game Theory, interesting ap- plications appeared to animals, starting with the analysis of competing species. It is much more recent and probably a little surprising to know that recent applications of the theory deal with genes in microbiology, or computers in telecommunication problems. In some sense, today many scholars do believe that these will be the more interesting applications in the future: for reasons that we shall constantly see later, humans in some sense are not so close to the rational player imagined by the theory, while animals and computers “act” in a more rational way than human beings, clearly in an unconscious yet efficient manner.

Games And Dynamic Games

Author : Alain Haurie
Publisher : World Scientific Publishing Company
ISBN 13 : 981440134X
Total Pages : 488 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Games And Dynamic Games by : Alain Haurie

Download or read book Games And Dynamic Games written by Alain Haurie and published by World Scientific Publishing Company. This book was released on 2012-03-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic games arise between players (individuals, firms, countries, animals, etc.) when the strategic interactions among them recur over time and decisions made during one period affect both current and future payoffs. Dynamic games provide conceptually rich paradigms and tools to deal with these situations.This volume provides a uniform approach to game theory and illustrates it with present-day applications to economics and management, including environmental, with the emphasis on dynamic games.At the end of each chapter a case study called game engineering (GE) is provided, to help readers understand how problems of high social priority, such as environmental negotiations, exploitation of common resources, can be modeled as games and how solutions can be engineered.

Pareto Optimality, Game Theory and Equilibria

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 0387772472
Total Pages : 872 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Pareto Optimality, Game Theory and Equilibria by : Panos M. Pardalos

Download or read book Pareto Optimality, Game Theory and Equilibria written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Game Theory

Author : Michael Maschler
Publisher : Cambridge University Press
ISBN 13 : 1108493459
Total Pages : 1053 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Game Theory by : Michael Maschler

Download or read book Game Theory written by Michael Maschler and published by Cambridge University Press. This book was released on 2020-06-25 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.

Polyhedral Computation

Author :
Publisher :
ISBN 13 : 9781470417741
Total Pages : 147 pages
Book Rating : 4.4/5 (177 download)

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Book Synopsis Polyhedral Computation by :

Download or read book Polyhedral Computation written by and published by . This book was released on 2009 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. They are, however, highly structured, and attention has turned to exploiting this structure, particularly symmetry. Initial applications of this approach have permitted computations previously far out of reach, but much remains to be understood and validated experimentally. The papers in this volume give a good snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montréal in October 2006 and,

Solving Systems of Polynomial Equations

Author : Bernd Sturmfels
Publisher : American Mathematical Soc.
ISBN 13 : 0821832514
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Solving Systems of Polynomial Equations by : Bernd Sturmfels

Download or read book Solving Systems of Polynomial Equations written by Bernd Sturmfels and published by American Mathematical Soc.. This book was released on 2002 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.

Behavioral Game Theory

Author : Russell Golman
Publisher : MDPI
ISBN 13 : 3039437739
Total Pages : 128 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Behavioral Game Theory by : Russell Golman

Download or read book Behavioral Game Theory written by Russell Golman and published by MDPI. This book was released on 2021-01-07 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do interacting decision-makers make strategic choices? If they’re rational and can somehow predict each other’s behavior, they may find themselves in a Nash equilibrium. However, humans display pervasive and systematic departures from rationality. They often do not conform to the predictions of the Nash equilibrium, or its various refinements. This has led to the growth of behavioral game theory, which accounts for how people actually make strategic decisions by incorporating social preferences, bounded rationality (for example, limited iterated reasoning), and learning from experience. This book brings together new advances in the field of behavioral game theory that help us understand how people actually make strategic decisions in game-theoretic situations.