The Language of Game Theory:Putting Epistemics into the Mathematics of Games

Adam Brandenburger
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Adam Brandenburger: New York University, USA

in World Scientific Books from World Scientific Publishing Co. Pte. Ltd.

Abstract: 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.

Keywords: Game Theory; Epistemic Game Theory; Foundations; Applied Mathematics; Social Neuroscience; Rationalizability; Nash Equilibrium; Probability; Uncertainty (search for similar items in EconPapers)
Date: 2014
ISBN: 9789814513432
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Citations: View citations in EconPapers (6)

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Chapters in this book:

Ch 1 An Impossibility Theorem on Beliefs in Games , pp 1-30

Adam Brandenburger and H. Jerome Keisler

Ch 2 Hierarchies of Beliefs and Common Knowledge , pp 31-41

Adam Brandenburger and Eddie Dekel

Ch 3 Rationalizability and Correlated Equilibria , pp 43-57

Adam Brandenburger and Eddie Dekel

Ch 4 Intrinsic Correlation in Games , pp 59-111

Adam Brandenburger and Amanda Friedenberg

Ch 5 Epistemic Conditions for Nash Equilibrium , pp 113-136

Robert Aumann and Adam Brandenburger

Ch 6 Lexicographic Probabilities and Choice Under Uncertainty , pp 137-160

Lawrence Blume, Adam Brandenburger and Eddie Dekel

Ch 7 Admissibility in Games , pp 161-212

Adam Brandenburger, Amanda Friedenberg and H. Jerome Keisler

Ch 8 Self-Admissible Sets , pp 213-249

Adam Brandenburger and Amanda Friedenberg

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Persistent link: https://EconPapers.repec.org/RePEc:wsi:wsbook:8844

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