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Author: Mathijs Jansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In this paper a procedure is described that computes for a given bimatrix game all stable sets in the sense of Kohlberg and Mertens (1986). Further the procedure is refined to find the strictly perfect equilibria (if any) of such a game. Keywords and Phrases: Bimatrix game, Computation, Stable equilibrium, Strictly perfect equilibrium.
Author: Mathijs Jansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In this paper a procedure is described that computes for a given bimatrix game all stable sets in the sense of Kohlberg and Mertens (1986). Further the procedure is refined to find the strictly perfect equilibria (if any) of such a game. Keywords and Phrases: Bimatrix game, Computation, Stable equilibrium, Strictly perfect equilibrium.
Author: Eric van Damme
Publisher: Springer Science & Business Media
ISBN: 364296978X
Category : Business & Economics
Languages : en
Pages : 331
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Book Description
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.
Author: Compiled by the British Library of Political and Economic Science
Publisher: Psychology Press
ISBN: 9780415284011
Category : Economics
Languages : en
Pages : 708
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Book Description
IBSS is the essential tool for librarians, university departments, research institutions and any public or private institution whose work requires access to up-to-date and comprehensive knowledge of the social sciences.
Author: R.J. Aumann
Publisher: North Holland
ISBN: 9780444894281
Category : Mathematics
Languages : en
Pages : 900
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Book Description
This is the third volume of the Handbook of Game Theory with Economic Applications. Since the publication of multi-Volume 1 a decade ago, game theory has continued to develop at a furious pace, and today it is the dominant tool in economic theory. The three volumes together cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science and individual chapters on applications to disciplines as diverse as evolutionary biology, computer science, law, psychology and ethics. The authors are the most eminent practitioners in the field, including three Nobel Prize winners. The topics covered in the present volume include strategic ("Nash") equilibrium; incomplete information; two-person non-zero-sum games; noncooperative games with a continuum of players; stochastic games; industrial organization; bargaining, inspection; economic history; the Shapley value and its applications to perfectly competitive economies, to taxation, to public goods and to fixed prices; political science; law mechanism design; and game experimentation.
Author: Jörgen W. Weibull
Publisher: MIT Press
ISBN: 9780262731218
Category : Business & Economics
Languages : en
Pages : 292
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Book Description
Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1448
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Book Description
Author: Burkhard Monien
Publisher: Springer Science & Business Media
ISBN: 3540793089
Category : Computers
Languages : en
Pages : 371
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Book Description
This book constitutes the refereed proceedings of the First International Symposium on Algorithmic Game Theory, SAGT 2008, held in Paderborn, Germany, in April/May 2008. The 28 revised full papes presented together with 3 invited lectures were carefully reviewed and selected from 60 submissions. The papers are organized in topical sections on routing and scheduling, markets, mechanism design, potpourri of games, solution concepts, and cost sharing.
Author: Julio González-Díaz
Publisher: American Mathematical Society
ISBN: 1470467968
Category : Mathematics
Languages : en
Pages : 432
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Book Description
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 806
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Book Description
Articles of mathematical interest as well as operations research and management science.
Author: Paul Weirich
Publisher: MDPI
ISBN: 3038424226
Category : Business & Economics
Languages : en
Pages : 189
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Book Description
This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games
