Fictitious play in coordination games
Aner Sela and
Dorothea Herreiner
International Journal of Game Theory, 1999, vol. 28, issue 2, 189-197
Abstract:
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.
Keywords: Learning; ·; fictitious; play; ·; (pure); coordination; games (search for similar items in EconPapers)
Date: 1999-05-17
Note: Received: December 1997/Final version: November 1998
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