A2 ×2Game without the Fictitious Play Property

Dov Monderer, Aner Sela

Research output: Contribution to journalArticlepeer-review


The definition of fictitious play may depend on first move rules,initial beliefs, weights assigned to initial beliefs, and tie-breaking rules determining the particular best replies chosen at each stage. Using the original definition of Brown (1951) in which the first moves are chosen arbitrarily and no tie-breaking rules are assumed, we give an example of a fictitious play process in a2×2game that does not converge to equilibrium.Journal of Economic LiteratureClassification Numbers: C72 C73
Original languageEnglish
Pages (from-to)144-148
Number of pages5
JournalGames and Economic Behavior
Issue number1
StatePublished - 1996


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