Aner Sela () (Department of Economics, Ben-Gurion University of the Negev, P.O.B 653, Beer-Sheva 84105, Israel) Dorothea Herreiner () (Wirtschaftstheorie III, Department of Economics, University of Bonn, Adenauerallee 24-26, D-53113 Bonn, Germany)
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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 coordinate (almost surely) against their own type as well as against players with bounded recall. In particular, this implies that a FP player's realized average utility is (almost surely) at least as large as his minmax payoff in 2þ2 coordination games.
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