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Refinements of the Nash Equilibrium Concept

Refinements of the Nash Equilibrium Concept
Author: E. van Damme
Publisher: Springer Science & Business Media
Total Pages: 161
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642499708

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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.


Stability and Perfection of Nash Equilibria

Stability and Perfection of Nash Equilibria
Author: Eric van Damme
Publisher: Springer Science & Business Media
Total Pages: 354
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642582427

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I have been pleased with the favourable reception of the first edition of this book and I am grateful to have the opportunity to prepare this second edition. In this revised and enlarged edition I corrected some misprints and errors that occurred in the first edition (fortunately I didn't find too many) and I added a large number of notes that give the reader an impression of what kind of results have been obtained since the first edition was printed and that give an indication of the direction the subject is taking. Many of the notes discuss (or refer to papers discussing) applications of the refinements that are considered. Of course, it is the quantity and the quality of the insights and the applications that lend the refinements their validity. Although the guide to the applications is far from complete, the notes certainly allow the reader to form a good judgement of which refinements have really yielded new insights. Hence, as in the first edition, I will refrain from speculating on which refinements of Nash equilibria will survive in the long run. To defend this position let me also cite Binmore [1990] who compares writing about refinements to the Herculean task of defeating the nine-headed Hydra which grew too heads for each that was struck off. It is a pleasure to have the opportunity to thank my secretary, Marjoleine de Wit, who skilfully and, as always, cheerfully typed the manuscript and did the proofreading.


Game Theory

Game Theory
Author: John Eatwell
Publisher: Springer
Total Pages: 275
Release: 1989-09-01
Genre: Business & Economics
ISBN: 1349201812

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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.


Epistemic Game Theory

Epistemic Game Theory
Author: Andrés Perea
Publisher: Cambridge University Press
Total Pages: 581
Release: 2012-06-07
Genre: Business & Economics
ISBN: 1107008913

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The first textbook to explain the principles of epistemic game theory.


Game Theory and Applications

Game Theory and Applications
Author: Tatsuro Ichiishi
Publisher: Academic Press
Total Pages: 449
Release: 2014-06-28
Genre: Language Arts & Disciplines
ISBN: 1483295052

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Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. Explains many of the recent central developments in game theory Highlights new research directions in economic theory which surpass the neoclassical paradigm Includes game-theoretical analyses in economics, political science, and biology Written by leading game theorists, economists, political scientists, and biologists