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Fictitious play and- no-cycling conditions

Dov Monderer and Aner Sela
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Dov Monderer: Faculty of Industrial Engineering and Management, Postal: The Technion, Haifa 3200, Israel

No 97-12, Sonderforschungsbereich 504 Publications from Sonderforschungsbereich 504, Universität Mannheim, Sonderforschungsbereich 504, University of Mannheim

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.

Pages: 26 pages
Date: 1997-06-01
Note: Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
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Working Paper: Fictitious play and no-cycling conditions (1997) Downloads
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