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On the Convergence of Fictitious Play

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Author Info
Vijay Krishna (Penn State University)
Tomas Sjostrom (Harvard University)

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Abstract

We study the continuous time Brown-Robinson fictitious play process f or non-zero sum games. We show that, in general, fictitious play cannot converg e cyclically to a mixed strategy equilibrium in which both players use more tha n two pure strategies.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 9503003.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 34 pages
Date of creation: 13 Mar 1995
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Handle: RePEc:wpa:wuwpga:9503003

Note: 34 pages
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Web page: http://129.3.20.41

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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  1. JIMENEZ Edward, 2002. "Unified Game Theory," Computing in Economics and Finance 2002 25, Society for Computational Economics. [Downloadable!]
  2. 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!]
  3. Ulrich Berger, 2005. "Brown's Original Fictitious Play," Game Theory and Information 0503008, EconWPA. [Downloadable!]
    Other versions:
  4. Ulrich Berger, 2003. "A general model of best response adaptation," Game Theory and Information 0303008, EconWPA. [Downloadable!]
  5. Ulrich Berger, 2003. "Continuous Fictitious Play via Projective Geometry," Game Theory and Information 0303004, EconWPA. [Downloadable!]
  6. Alexander Zimper & Alexander Ludwig, 2007. "Attitude polarization," MEA discussion paper series 07155, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
  7. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA. [Downloadable!]
  8. Ulrich Berger, 2003. "Fictitious play in 2xn games," Game Theory and Information 0303009, EconWPA. [Downloadable!]
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