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Fictitious play and- no-cycling conditions

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Author Info
Monderer, Dov (Faculty of Industrial Engineering and Management)
Sela, Aner () (Ben Gurion University)
Abstract

We investigate the paths of pure strategy profiles induced by the fictitious play process. We present rules that such paths must follow. Using these rules we prove that every non-degenerate 2*3 game has the continuous fictitious play property, that is, every continuous fictitious play process, independent of initial actions and beliefs, approaches equilibrium in such games.

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Publisher Info
Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 97-12.

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Length: 26 pages
Date of creation: 01 Jun 1997
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Handle: RePEc:xrs:sfbmaa:97-12

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  1. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February. [Downloadable!] (restricted)
  2. Vijay Krishna & Tomas Sjostrom, 1995. "On the Convergence of Fictitious Play," Harvard Institute of Economic Research Working Papers 1717, Harvard - Institute of Economic Research.
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  3. Monderer, Dov & Shapley, Lloyd S., 1996. "Fictitious Play Property for Games with Identical Interests," Journal of Economic Theory, Elsevier, vol. 68(1), pages 258-265, January. [Downloadable!] (restricted)
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  1. Ulrich Berger, 2005. "Brown's Original Fictitious Play," Game Theory and Information 0503008, EconWPA. [Downloadable!]
    Other versions:
  2. Ulrich Berger, 2004. "Some Notes on Learning in Games with Strategic Complementarities," Game Theory and Information 0409001, EconWPA. [Downloadable!]
  3. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA. [Downloadable!]
  4. Ulrich Berger, 2003. "Fictitious play in 2xn games," Game Theory and Information 0303009, EconWPA. [Downloadable!]
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