SFB 303 Discussion Paper No. B - 380

Author: Sela, Aner
Title: One against All in the Fictitious Play Process
Abstract: 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.
Keywords: fictitious play, zero-sum games, games with identical payoff functions, weighted potential games, weak weighted potential games.
JEL-Classification-Number: C72, C79
Creation-Date: June 1996
Unfortunately this paper is not available online. Please contact us to order a hardcopy.

SFB 303 Homepage

21.04.1998, Webmaster