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On The Existence Of Pure Strategy Nash Equilibria In Two Person Discrete Games
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Book Synopsis On the Existence of Pure Strategy Nash Equilibria in Two Person Discrete Games by : Indrajit Mallick
Download or read book On the Existence of Pure Strategy Nash Equilibria in Two Person Discrete Games written by Indrajit Mallick and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 1987-01-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 2012-11-29 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 Synopsis The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave by : Michael R. Baye
Download or read book The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave written by Michael R. Baye and published by . This book was released on 1990 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Noncooperative Game Theory by : Tamer Basar
Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar and published by SIAM. This book was released on 1999-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis On the Existence of Mixed Strategy Nash Equilibria by : Pavlo Prokopovych
Download or read book On the Existence of Mixed Strategy Nash Equilibria written by Pavlo Prokopovych and published by . This book was released on 2013 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this paper is on developing geometric sufficient conditions for the existence of a mixed strategy Nash equilibrium for both diagonally transfer continuous and better-reply secure games. First, we show that employing the concept of diagonal transfer continuity in place of better-reply security might be advantageous when the existence of a mixed strategy Nash equilibrium is concerned. Then, we study equilibrium existence in better-reply secure games possessing a payoff secure mixed extension. With the aid of an example we show that such games need not have mixed strategy Nash equilibria. We provide some easily verifiable conditions for the mixed extension of a two-person game that is reciprocally upper semicontinuous and uniformly payoff secure to be better-reply secure.
Book Synopsis Existence and Properties of Pure Nash Equilibria in Budget Games by : Maximilian Drees
Download or read book Existence and Properties of Pure Nash Equilibria in Budget Games written by Maximilian Drees and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
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.
Book Synopsis Two-person Zero-sum Games by : Alan R. Washburn
Download or read book Two-person Zero-sum Games written by Alan R. Washburn and published by INFORMS. This book was released on 2003 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis THE EXISTENCE OF PURE-STRATEGY NASH EQUILIBRIUM IN GAMES WITH PAYOFFS THAT ARE NOT QUASINCONCAVE by : Michael R. BAYE
Download or read book THE EXISTENCE OF PURE-STRATEGY NASH EQUILIBRIUM IN GAMES WITH PAYOFFS THAT ARE NOT QUASINCONCAVE written by Michael R. BAYE and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nash Equilibria in Pure Strategies by : Abderrahmane Ziad
Download or read book Nash Equilibria in Pure Strategies written by Abderrahmane Ziad and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis On the Existence of Pure Strategy Nash Equilibria in Large Games by : Guilherme Carmona
Download or read book On the Existence of Pure Strategy Nash Equilibria in Large Games written by Guilherme Carmona and published by . This book was released on 2006 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider an asymptotic version of Mas-Colell's theorem on the existence of pure strategy Nash equilibria in large games. Our result states that, if players' payoff functions are selected from an equicontinuous family, then all sufficiently large games have an pure, equilibrium for all gt; 0. We also show that our result is equivalent to Mas-Colell's existence theorem, implying that it can properly be considered as its asymptotic version.
Book Synopsis The Complexity of Nash Equilibria by : Konstantinos Daskalakis
Download or read book The Complexity of Nash Equilibria written by Konstantinos Daskalakis and published by . This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Single Crossing Properties and the Existence of Pure Strategy Nash Equilibria in Games of Incomple Information by : Susan Athey
Download or read book Single Crossing Properties and the Existence of Pure Strategy Nash Equilibria in Games of Incomple Information written by Susan Athey and published by . This book was released on 2000 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave by : Michael R. Baye
Download or read book The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave written by Michael R. Baye and published by . This book was released on 1990 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Existence of Mixed Strategy Nash Equilibriai by : Pavlo Prokopovych
Download or read book On the Existence of Mixed Strategy Nash Equilibriai written by Pavlo Prokopovych and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this paper is on developing verifiable sufficient conditions for the existence of a mixed strategy Nash equilibrium for both diagonally transfer continuous and better-reply secure games. First, we show that employing the concept of diagonal transfer continuity in place of better-reply security might be advantageous when the existence of a mixed strategy Nash equilibrium is concerned. Then, we study equilibrium existence in better-reply secure games possessing a payoff secure mixed extension. With the aid of an example, we show that such games need not have mixed strategy Nash equilibria. We provide geometric conditions for the mixed extension of a two-person game that is reciprocally upper semicontinuous and uniformly payoff secure to be better-reply secure.
