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On the Convergence of Fictitious Play

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  • Vijay Krishna
  • T. Sjostrom

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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Bibliographic Info

Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 417.

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Date of creation: 09 Dec 2010
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Handle: RePEc:cla:levarc:417

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References

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  1. Dov Monderer & Dov Samet & Aner Sela, 2010. "Belief Affirming in Learning Processes," Levine's Working Paper Archive 420, David K. Levine.
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Cited by:
  1. Dov Monderer & Dov Samet & Aner Sela, 2010. "Belief Affirming in Learning Processes," Levine's Working Paper Archive 420, David K. Levine.
  2. Ludwig, Alexander & Zimper, Alexander, 2007. "Attitude polarization," Sonderforschungsbereich 504 Publications, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim 07-66, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  3. Alexander Zimper & Alexander Ludwig, 2008. "On attitude polarization under Bayesian learning with non-additive beliefs," Working Papers 104, Economic Research Southern Africa.
  4. Ulrich Berger, 2003. "Continuous Fictitious Play via Projective Geometry," Game Theory and Information, EconWPA 0303004, EconWPA.
  5. Ellison, Glenn, 1997. "Learning from Personal Experience: One Rational Guy and the Justification of Myopia," Games and Economic Behavior, Elsevier, Elsevier, vol. 19(2), pages 180-210, May.
  6. repec:hal:wpaper:hal-00713871 is not listed on IDEAS
  7. Ulrich Berger, 2003. "Fictitious play in 2xn games," Game Theory and Information, EconWPA 0303009, EconWPA.
  8. Berger, Ulrich, 2007. "Brown's original fictitious play," Journal of Economic Theory, Elsevier, Elsevier, vol. 135(1), pages 572-578, July.
  9. JIMENEZ Edward, 2002. "Unified Game Theory," Computing in Economics and Finance 2002, Society for Computational Economics 25, Society for Computational Economics.
  10. Ulrich Berger, 2003. "A general model of best response adaptation," Game Theory and Information, EconWPA 0303008, EconWPA.
  11. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information, EconWPA 0408003, EconWPA.

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