We study the Fictitious Play process with bounded and unbounded recall in pure coordination games for which failing to coordinate yields a payoff of zero for both players. It is shown that every Fictitious Play player with bounded recall may fail to coordinate against his own type. On the other hand, players with unbounded recall are shown to coordinae (almost surely) against their own type as well as against players with bounded recall. This implies that a FP players's realized average utility is (almost surely) at least as large as his minmax payoffs in 2x2 coordination games.
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Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number
423.
Length: pages Date of creation: Date of revision:
Dec 1997 Handle: RePEc:bon:bonsfb:423
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Find related papers by JEL classification: C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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