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Two More Classes of Games with the Fictitious Play Property

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Author Info
Ulrich Berger (Vienna University of Economics)

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Abstract

Fictitious play is the oldest and most studied learning process for games. Since the already classical result for zero-sum games, convergence of beliefs to the set of Nash equilibria has been established for some important classes of games, including weighted potential games, supermodular games with diminishing returns, and 3x3 supermodular games. Extending these results, we establish convergence for ordinal potential games and quasi-supermodular games with diminishing returns. As a by-product we obtain convergence for 3xm and 4x4 quasi-supermodular games.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 0408003.

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Length: 17 pages
Date of creation: 31 Aug 2004
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Handle: RePEc:wpa:wuwpga:0408003

Note: Type of Document - pdf; pages: 17
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Web page: http://129.3.20.41

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Related research
Keywords: Fictitious Play Learning Process Ordinal Potential Games Quasi-Supermodular Games

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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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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  7. Foster, Dean P. & Young, H. Peyton, 1998. "On the Nonconvergence of Fictitious Play in Coordination Games," Games and Economic Behavior, Elsevier, vol. 25(1), pages 79-96, October. [Downloadable!] (restricted)
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  10. Jordan J. S., 1993. "Three Problems in Learning Mixed-Strategy Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 368-386, July. [Downloadable!] (restricted)
  11. Ulrich Berger, 2003. "Continuous Fictitious Play via Projective Geometry," Game Theory and Information 0303004, EconWPA. [Downloadable!]
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  23. Monderer, Dov & Sela, Aner, 1997. "Fictitious play and- no-cycling conditions," Sonderforschungsbereich 504 Publications 97-12, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  1. Ulrich Berger, 2005. "Brown's Original Fictitious Play," Game Theory and Information 0503008, EconWPA. [Downloadable!]
    Other versions:
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