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Author: Ken Binmore
Publisher:
ISBN:
Category :
Languages : en
Pages : 239
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Book Description
Author: Ken Binmore
Publisher:
ISBN:
Category :
Languages : en
Pages : 239
Get Book Here
Book Description
Author: Robert J. Aumann
Publisher: MIT Press
ISBN: 9780262011549
Category : Business & Economics
Languages : en
Pages : 806
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Book Description
Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. When you look closely at one scientific idea, writes Aumann, you find it hitched to all others. It is these hitches that I have tried to study.
Author: Graham Romp
Publisher: Oxford University Press, USA
ISBN: 0198775024
Category : Business & Economics
Languages : en
Pages : 295
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Book Description
Covering all the essential topics for undergraduate courses, this is the ideal student introduction to game theory. The book sets out the basics of the subject in a non-technical way. All discussion and explanation is clear, well structured, and entirely accessible to students of botheconomics and business.In addition to describing and explaining the basic theory, Game Theory uses illustrations and examples to show its application to realistic, topical, and interesting problems-ranging from strategic decision-making within companies to international environmental policy-making.The book also features exercises with accompanying solutions to allow the student to check progress throughout the course, and a guide to further reading at the end of each chapter.
Author: Adam Brandenburger
Publisher: World Scientific
ISBN: 981451344X
Category : Mathematics
Languages : en
Pages : 298
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Book Description
This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program OCo now called epistemic game theory OCo extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior. Sample Chapter(s). Foreword (39 KB). Introduction (132 KB). Chapter 1: An Impossibility Theorem on Beliefs in Games (299 KB). Contents: An Impossibility Theorem on Beliefs in Games (Adam Brandenburger and H Jerome Keisler); Hierarchies of Beliefs and Common Knowledge (Adam Brandenburger and Eddie Dekel); Rationalizability and Correlated Equilibria (Adam Brandenburger and Eddie Dekel); Intrinsic Correlation in Games (Adam Brandenburger and Amanda Friedenberg); Epistemic Conditions for Nash Equilibrium (Robert Aumann and Adam Brandenburger); Lexicographic Probabilities and Choice Under Uncertainty (Lawrence Blume, Adam Brandenburger, and Eddie Dekel); Admissibility in Games (Adam Brandenburger, Amanda Friedenberg and H Jerome Keisler); Self-Admissible Sets (Adam Brandenburger and Amanda Friedenberg). Readership: Graduate students and researchers in the fields of game theory, theoretical computer science, mathematical logic and social neuroscience."
Author: Paul Erickson
Publisher: University of Chicago Press
ISBN: 022609717X
Category : Biography & Autobiography
Languages : en
Pages : 397
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Book Description
Today, game theory is central to our understanding of capitalist markets, the evolution of social behavior in animals, and much more. Both the social and biological sciences have seemingly fused around the game. Yet the ascendancy of game theory and theories of rational choice more generally remains a rich source of misunderstanding. To gain a better grasp of the widespread dispersion of game theory and the mathematics of rational choice, Paul Erickson uncovers its history during the poorly understood period between the publication of John von Neumann and Oskar Morgenstern s seminal "Theory of Games and Economic Behavior" in 1944 and the theory s revival in economics in the 1980s. "The World the Game Theorists Made "reveals how the mathematics of rational choice was a common, flexible language that could facilitate wide-ranging debate on some of the great issues of the time. Because it so actively persists in the sciences and public life, assessing the significance of game theory for the postwar sciences is especially critical now."
Author: Harold William Kuhn
Publisher: Princeton University Press
ISBN: 1400829151
Category : Business & Economics
Languages : en
Pages : 328
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Book Description
Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.
Author: Paul Weirich
Publisher: OUP USA
ISBN: 0195388380
Category : Business & Economics
Languages : en
Pages : 283
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Book Description
Groups of people perform acts that are subject to standards of rationality. The book's theory of collective rationality explains how to evaluate collective acts. The people engaged in a game of strategy collectively produce an outcome, and the theory reveals what makes some outcomes solutions. It generates new equilibrium standards for solutions to cooperative games.
Author: Mary-Ann Dimand
Publisher: Routledge
ISBN: 1134907796
Category : Business & Economics
Languages : en
Pages : 202
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Book Description
Game Theory - the formal modelling of conflict and cooperation - first emerged as a recognized field with a publication of John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behaviour in 1944. Since then, game-theoretic thinking about choice of strategies and the interdependence of people's actions has influenced all the social s
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.
Author: Adam Brandenburger
Publisher: World Scientific
ISBN: 9814513458
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior.
