One against all in the fictitious play process


Sela, Aner


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URL: http://ub-madoc.bib.uni-mannheim.de/2902
URN: urn:nbn:de:bsz:180-madoc-29024
Document Type: Working paper
Year of publication: 1997
Publication language: English
Institution: School of Law and Economics > Sonstige - Fakultät für Rechtswissenschaft und Volkswirtschaftslehre
MADOC publication series: Sonderforschungsbereich 504 > Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung (Laufzeit 1997 - 2008)
Subject: 330 Economics
Subject headings (SWD): Spieltheorie
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 chararcterize 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 ganes, weighted potential games, or games with identical payoff functions, then the fictitious play property holds for the associated game.
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Sela, Aner (1997) One against all in the fictitious play process. Open Access [Working paper]
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