Stability and Perfection of Nash Equilibria

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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.

Existence and Stability of Nash Equilibrium

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Author :
Publisher : World Scientific
ISBN 13 : 9814390658
Total Pages : 153 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Existence and Stability of Nash Equilibrium by : Guilherme Carmona

Download or read book Existence and Stability of Nash Equilibrium written by Guilherme Carmona and published by World Scientific. This book was released on 2013 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field. Book jacket.

Stability of Nash Equilibria in Locational Games

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (27 download)

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Book Synopsis Stability of Nash Equilibria in Locational Games by : Horst A. Eiselt

Download or read book Stability of Nash Equilibria in Locational Games written by Horst A. Eiselt and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Game Theory

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Publisher : Springer
ISBN 13 : 1349201812
Total Pages : 275 pages
Book Rating : 4.3/5 (492 download)

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Book Synopsis Game Theory by : John Eatwell

Download or read book Game Theory written by John Eatwell and published by Springer. This book was released on 1989-09-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.

Social Nash Equilibria

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Social Nash Equilibria by : Vincenzo Scalzo

Download or read book Social Nash Equilibria written by Vincenzo Scalzo and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Refinements of the Nash Equilibrium Concept

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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.

Evolutionary Games and Equilibrium Selection

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Publisher : MIT Press
ISBN 13 : 9780262692199
Total Pages : 332 pages
Book Rating : 4.6/5 (921 download)

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Book Synopsis Evolutionary Games and Equilibrium Selection by : Larry Samuelson

Download or read book Evolutionary Games and Equilibrium Selection written by Larry Samuelson and published by MIT Press. This book was released on 1997 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. Evolutionary game theory is one of the most active and rapidly growing areas of research in economics. Unlike traditional game theory models, which assume that all players are fully rational and have complete knowledge of details of the game, evolutionary models assume that people choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. In games that are repeated many times, low-payoff strategies tend to be weeded out, and an equilibrium may emerge. Larry Samuelson has been one of the main contributors to the evolutionary game theory literature. In Evolutionary Games and Equilibrium Selection, he examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. After providing an overview of the basic issues of game theory and a presentation of the basic models, the book addresses evolutionary stability, the dynamics of sample paths, the ultimatum game, drift, noise, backward and forward induction, and strict Nash equilibria.

Refinements of the Nash Equilibrium Concept

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Publisher : Springer
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (321 download)

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

Download or read book Refinements of the Nash Equilibrium Concept written by Eric van Damme and published by Springer. This book was released on 1983 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perfect Nash Equilibria in Finite Repeated Game and Uniqueness of Nash Equilibrium in the Constituent Game

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Perfect Nash Equilibria in Finite Repeated Game and Uniqueness of Nash Equilibrium in the Constituent Game by : Michel Moreaux

Download or read book Perfect Nash Equilibria in Finite Repeated Game and Uniqueness of Nash Equilibrium in the Constituent Game written by Michel Moreaux and published by . This book was released on 1984 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Economic Theory: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 9780521484596
Total Pages : 342 pages
Book Rating : 4.4/5 (845 download)

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Book Synopsis Advances in Economic Theory: Volume 1 by : Econometric Society. World Congress

Download or read book Advances in Economic Theory: Volume 1 written by Econometric Society. World Congress and published by Cambridge University Press. This book was released on 1992 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the reader a unique survey of advances in economic theory.

On the Generic Strategic Stability of Nash Equilibria If Voting is Costly

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis On the Generic Strategic Stability of Nash Equilibria If Voting is Costly by : Francesco De Sinopoli

Download or read book On the Generic Strategic Stability of Nash Equilibria If Voting is Costly written by Francesco De Sinopoli and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We prove that for generic plurality games with positive cost of voting, the number of Nash equilibria is finite. Furthermore all the equilibria are regular, hence stable sets as singletons.

On the Learning and Stability of Mixed Strategy Nash Equilibria in Games of Strategic Substitutes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis On the Learning and Stability of Mixed Strategy Nash Equilibria in Games of Strategic Substitutes by : Eric Hoffmann

Download or read book On the Learning and Stability of Mixed Strategy Nash Equilibria in Games of Strategic Substitutes written by Eric Hoffmann and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov-Perfect Nash Equilibria in a Class of Resource Games

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Markov-Perfect Nash Equilibria in a Class of Resource Games by : Gerhard Sorger

Download or read book Markov-Perfect Nash Equilibria in a Class of Resource Games written by Gerhard Sorger and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A General Theory of Equilibrium Selection in Games

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Publisher : Mit Press
ISBN 13 : 9780262582384
Total Pages : 378 pages
Book Rating : 4.5/5 (823 download)

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Book Synopsis A General Theory of Equilibrium Selection in Games by : John C. Harsanyi

Download or read book A General Theory of Equilibrium Selection in Games written by John C. Harsanyi and published by Mit Press. This book was released on 1988 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors, two of the most prominent game theorists of this generation, have devoted a number of years to the development of the theory presented here, and to its economic applications. They propose rational criteria for selecting one particular uniformly perfect equilibrium point as the solution of any noncooperative game. And, because any cooperative game can be remodelled as a noncooperative bargaining game, their theory defines a one-point solution for any cooperative game as well.By providing solutions - based on the same principles of rational behavior - for all classes of games, both cooperative and noncooperative, both those with complete and with incomplete information, Harsanyi and Selten's approach achieves a remarkable degree of theoretical unification for game theory as a whole and provides a deeper insight into the nature of game-theoretic rationality.The book applies this theory to a number of specific game classes, such as unanimity games; bargaining with transaction costs; trade involving one seller and several buyers; two-person bargaining with incomplete information on one side, and on both sides. The last chapter discusses the relationship of the authors' theory to other recently proposed solution concepts, particularly the Kohberg-Mertens stability theory.John C. Harsanyi is Flood Research Professor in Business Administration and Professor of Economics, University of California, Berkeley. Reinhard Selten is Professor of Economics Institute of Social and Economic Sciences: University of Bonn, Federal Republic of Germany.

Economics and Cognitive Science

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Publisher : Elsevier
ISBN 13 : 1483294897
Total Pages : 238 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Economics and Cognitive Science by : Paul Bourgine

Download or read book Economics and Cognitive Science written by Paul Bourgine and published by Elsevier. This book was released on 2014-06-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economics, dealing with mental processes of decision makers is part of cognitive science; conversely, cognitive science, faced with constraints on information processing, is part of economics. In July 1990, the Cecoia 2 conference was organised in Paris to further explore the connections between the two. The papers presented in this volume illustrate this truly interdisciplinary research intertwining social and cognitive sciences. Three main topics are represented: agent's mental representation when facing complex uncertainty; agent's computational constraints leading to bounded rationality; agent's learning and evolution in an imperfectly known environment.

Perfect and Proper Refinements of All Extreme Nash Equilibria for Bimatrix Games

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (19 download)

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Book Synopsis Perfect and Proper Refinements of All Extreme Nash Equilibria for Bimatrix Games by : Charles Audet

Download or read book Perfect and Proper Refinements of All Extreme Nash Equilibria for Bimatrix Games written by Charles Audet and published by . This book was released on 2007 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nash Equilibrium and Stable Contracts

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Nash Equilibrium and Stable Contracts by : Lawrence Diffo Lambo

Download or read book Nash Equilibrium and Stable Contracts written by Lawrence Diffo Lambo and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis of normal form games that model strategic interactions between individuals, the Nash equilibrium is a significant contribution. However, this concept has some limits: often, it proposes a collective result undesirable by all and in some cases, this equilibrium is not realizable. This proposes two new solution concepts: the notion of m-equilibrium, which allows to improve some pareto-dominated Nash equilibria; and the notion of epsilon-equilibrium, which proposes a solution for some games which do not admit a Nash equilibrium.