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research articles : Fictitious play in `one-against-all' multi-player games

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Author Info
Aner Sela () (Department of Economics, Ben-Gurion University of the Negev, P.O.B. 653, Beer-Sheva 84105, ISRAEL)
Abstract

A compound game is an (n + 1) player game based on n two-person subgames. In each of these subgames player 0 plays against one of the other players. Player 0 is regulated, so that he must choose the same strategy in all n subgames. We show that every fictitious play process approaches the set of equilibria in compound games for which all subgames are either zero-sum games, potential games, or $2\times 2$ games.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 14 (1999)
Issue (Month): 3 ()
Pages: 635-651
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Handle: RePEc:spr:joecth:v:14:y:1999:i:3:p:635-651

Note: Received: July 18, 1997; revised version: December 4, 1998
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Related research
Keywords: Learning; Fictitious play; Zero-sum games; Potential games.;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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