Nash Equilibria In Pure Strategies
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Nash Equilibria In Pure Strategies
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Author : Abderrahmane Ziad
language : en
Publisher:
Release Date : 2003
Nash Equilibria In Pure Strategies written by Abderrahmane Ziad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
We consider an n-person non-zero-sum non-cooperative game in normal form, where the strategy sets are some closed intervals of the real line. It is shown that if the pay-off functions are continuous on the whole space and if for each pay-off function the smallest local maximum in the strategy variable is a global maximum, then the game possesses a pure strategy Nash equilibrium.
Stability And Perfection Of Nash Equilibria
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Author : Eric van Damme
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stability And Perfection Of Nash Equilibria written by Eric van Damme and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
On Pure Strategy Nash Equilibria In Price Quantity Games
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Author : Iwan Bow
language : en
Publisher:
Release Date : 2015
On Pure Strategy Nash Equilibria In Price Quantity Games written by Iwan Bow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Existence And Stability Of Nash Equilibrium
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Author : Guilherme Carmona
language : en
Publisher: World Scientific
Release Date : 2013
Existence And Stability Of Nash Equilibrium written by Guilherme Carmona and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Business & Economics categories.
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.
Refinements Of The Nash Equilibrium Concept
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Author : E. van Damme
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Refinements Of The Nash Equilibrium Concept written by E. van Damme and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
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.
On The Existence Of Pure Strategy Nash Equilibria In Two Person Discrete Games
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Author : Indrajit Mallick
language : en
Publisher:
Release Date : 2011
On The Existence Of Pure Strategy Nash Equilibria In Two Person Discrete Games written by Indrajit Mallick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
We construct a generalized two-person discrete strategy static game of complete information where continuity, convexity and compactness cannot be invoked to show the existence of Pure Strategy Nash Equilibrium. We show that, when Best Responses are unique from both sides, a condition of Minimal Acyclicity is necessary and sufficient for the existence of Pure Strategy Nash Equilibria.
The Existence Of Pure Strategy Nash Equilibrium In Games With Payoffs That Are Not Quasiconcave
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Author : Michael R. Baye
language : en
Publisher:
Release Date : 1990
The Existence Of Pure Strategy Nash Equilibrium In Games With Payoffs That Are Not Quasiconcave written by Michael R. Baye and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Game Theory
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Author : Steve Tadelis
language : en
Publisher: Princeton University Press
Release Date : 2013-01-06
Game Theory written by Steve Tadelis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-06 with Business & Economics categories.
The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students
On Equilibrium In Pure Strategies In Games With Many Players
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Author : Edward Cartwright
language : en
Publisher:
Release Date : 2003
On Equilibrium In Pure Strategies In Games With Many Players written by Edward Cartwright and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Conformity categories.
Single Crossing Properties And The Existence Of Pure Strategy Nash Equilibria In Games Of Incomplete Information
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Author : Susan Athey
language : en
Publisher:
Release Date : 2000
Single Crossing Properties And The Existence Of Pure Strategy Nash Equilibria In Games Of Incomplete Information written by Susan Athey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.