论文信息 - A 2£ 2 Game without the Fictitious Play Property ⁄

A 2£ 2 Game without the Fictitious Play Property ⁄

Abstract 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 a 2×2 game that does not converge to equilibrium. Journal of Economic Literature Classification Numbers: C72 C73

D. Monderer | A. Sela

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