epistemic game theory: complete information
From The New Palgrave Dictionary of Economics, Second Edition, 2008
Edited by
Steven
N.
Durlauf and
Lawrence
E.
Blume
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Abstract
The epistemic programme can be viewed as a methodical construction of game theory from its most basic elements – rationality and irrationality, belief and knowledge about such matters, beliefs about beliefs, knowledge about knowledge, and so on. To date, the epistemic field has been mainly focused on game matrices and trees – that is, on the non-cooperative branch of game theory. It has been used to provide foundations for existing non-cooperative solution concepts, and also to uncover new solution concepts. The broader goal of the programme is to provide a method of analysing different sets of assumptions about games in a precise and uniform manner.
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Keywords
admissibility; backward induction; common knowledge; conditional probability systems; correlation; epistemic game theory; epistemic game theory: complete information; finite games; invariance; iterated dominance; lexicographic probability systems; rational behaviour; rationalizability; strong dominance; type structures; uncertainty; weak dominanceBack to top
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See Also
This survey is based on Brandenburger (2007). I am grateful to Springer for permission to use this material. I owe a great deal to joint work and many conversations with Robert Aumann, Eddie Dekel, Amanda Friedenberg, Jerry Keisler and Harborne Stuart. My thanks to Konrad Grabiszewski for important input, John Nachbar for very important editorial advice, and Michael James for valuable assistance. The Stern School of Business provided financial support.
How to cite this article
Brandenburger, Adam. "epistemic game theory: complete information." The New Palgrave Dictionary of Economics. Second Edition. Eds. Steven N. Durlauf and Lawrence E. Blume. Palgrave Macmillan, 2008. The New Palgrave Dictionary of Economics Online. Palgrave Macmillan. 09 February 2010 <http://www.dictionaryofeconomics.com/article?id=pde2008_E000258> doi:10.1057/9780230226203.0491
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