Brown's Original Fictitious Play

Ulrich Berger

Game Theory and Information from University Library of Munich, Germany

Abstract: What 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.

Keywords: Fictitious Play; Learning Process; Ordinal Potential Games (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2005-03-21
New Economics Papers: this item is included in nep-cbe, nep-evo and nep-gth
Note: Type of Document - pdf; pages: 12
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Related works:
Journal Article: Brown's original fictitious play (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0503008

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