Brown's Original Fictitious Play
AbstractWhat modern game theorists describe as 'fictitious play' is not the learning process George W. Brown defined in his 1951 paper. His original version differs in a subtle detail, namely the order of belief updating. In this note we revive Brown's original fictitious play process and demonstrate that this seemingly innocent detail allows for an extremely simple and intuitive proof of convergence in an interesting and large class of games: nondegenerate ordinal potential games.
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Bibliographic InfoPaper provided by EconWPA in its series Game Theory and Information with number 0503008.
Length: 12 pages
Date of creation: 21 Mar 2005
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Fictitious Play; Learning Process; Ordinal Potential Games;
Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-04-16 (All new papers)
- NEP-CBE-2005-04-16 (Cognitive & Behavioural Economics)
- NEP-EVO-2005-04-16 (Evolutionary Economics)
- NEP-GTH-2005-04-16 (Game Theory)
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