There are only few "positive" results concerning multi-person games with the fictitious play property, that is, games in which every fictitious play process approaches the set of equilibria. In this paper we characterize classes of multi-person games with the fictitious play property. We consider an (n+1) player game {0,1,2,....,n} based on n two-person sub-games. In each of these sub-games player 0 plays against one of the other players. Player 0 is regulated, so that he must choose the same strategy in all n sub-games. We show that if all sub-games are either zero-sum games, weighted potential games, or games with identical payoff functions, then the fictitious play property holds for the associated game.
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Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number
380.
Length: pages Date of creation: Jun 1996 Date of revision: Handle: RePEc:bon:bonsfb:380
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Find related papers by JEL classification: C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other