Brown's Original Fictitious Play

Publication: Scientific journalJournal articlepeer-review

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What modern game theorists describe as fictitious play is not the learning process George W. Brown defined in his 1951 paper. Brown's 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.
Original languageEnglish
Pages (from-to)572 - 578
JournalJournal of Economic Theory
Issue number1
Publication statusPublished - 2007

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