A Theorem on the Number of Nash Equilibria in a Bimatrix Game

A Theorem on the Number of Nash Equilibria in a Bimatrix Game PDF Author: Thomas Quint
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 7

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A Theorem on the Number of Nash Equilibria in a Bimatrix Game

A Theorem on the Number of Nash Equilibria in a Bimatrix Game PDF Author: Thomas Quint
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 7

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Book Description


Stability and Perfection of Nash Equilibria

Stability and Perfection of Nash Equilibria PDF Author: Eric van Damme
Publisher: Springer Science & Business Media
ISBN: 3642582427
Category : Mathematics
Languages : en
Pages : 354

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Book Description
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.

Refinements of the Nash Equilibrium Concept

Refinements of the Nash Equilibrium Concept PDF Author: E. van Damme
Publisher: Springer Science & Business Media
ISBN: 3642499708
Category : Business & Economics
Languages : en
Pages : 161

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Book Description
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.

Handbook of Game Theory with Economic Applications

Handbook of Game Theory with Economic Applications PDF Author: R.J. Aumann
Publisher: Elsevier
ISBN: 9780444894274
Category : Business & Economics
Languages : en
Pages : 824

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Book Description
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

On the Number of Nash Equilibria in a Bimatrix Game

On the Number of Nash Equilibria in a Bimatrix Game PDF Author: Thomas Quint
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 17

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Book Description


Twenty Lectures on Algorithmic Game Theory

Twenty Lectures on Algorithmic Game Theory PDF Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1316781178
Category : Computers
Languages : en
Pages : 356

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Book Description
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.

Existence and Stability of Nash Equilibrium

Existence and Stability of Nash Equilibrium PDF Author: Guilherme Carmona
Publisher: World Scientific
ISBN: 9814390658
Category : Business & Economics
Languages : en
Pages : 153

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Book Description
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.

The Complexity of Nash Equilibria

The Complexity of Nash Equilibria PDF Author: Konstantinos Daskalakis
Publisher:
ISBN:
Category :
Languages : en
Pages : 410

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Book Description


Introduction to Game Theory

Introduction to Game Theory PDF Author: Stef Tijs
Publisher: Springer
ISBN: 9386279177
Category : Mathematics
Languages : en
Pages : 187

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Book Description


Game Theory through Examples

Game Theory through Examples PDF Author: Erich Prisner
Publisher: American Mathematical Soc.
ISBN: 1614441154
Category : Mathematics
Languages : en
Pages : 287

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Book Description
Game Theory through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. The core philosophy underlying this volume is that abstract concepts are best learned when encountered first (and repeatedly) in concrete settings. Thus, the essential ideas of game theory are here presented in the context of actual games, real games much more complex and rich than the typical toy examples. All the fundamental ideas are here: Nash equilibria, backward induction, elementary probability, imperfect information, extensive and normal form, mixed and behavioral strategies. The active-learning, example-driven approach makes the text suitable for a course taught through problem solving. Students will be thoroughly engaged by the extensive classroom exercises, compelling homework problems, and nearly sixty projects in the text. Also available are approximately eighty Java applets and three dozen Excel spreadsheets in which students can play games and organize information in order to acquire a gut feeling to help in the analysis of the games. Mathematical exploration is a deep form of play; that maxim is embodied in this book. Game Theory through Examples is a lively introduction to this appealing theory. Assuming only high school prerequisites makes the volume especially suitable for a liberal arts or general education spirit-of-mathematics course. It could also serve as the active-learning supplement to a more abstract text in an upper-division game theory course.