Continuous fictitious play in zero-sum games
AbstractRobinson (1951) showed that the learning process of Discrete Fictitious Play converges from any initial condition to the set of Nash equilibria in two-player zero-sum games. In several earlier works, Brown (1949, 1951) makes some heuristic arguments for a similar convergence result for the case of Continuous Fictitious Play (CFP). The standard reference for a formal proof is Harris (1998); his argument requires several technical lemmas, and moreover, involves the advanced machinery of Lyapunov functions. In this note we present a simple alternative proof. In particular, we show that Brown''s convergence result follows easily from a result obtained by Monderer et al. (1997).
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 049.
Date of creation: 2009
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-10-31 (All new papers)
- NEP-HRM-2009-10-31 (Human Capital & Human Resource Management)
- NEP-LAB-2009-10-31 (Labour Economics)
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.:
- Harris, Christopher, 1998.
"On the Rate of Convergence of Continuous-Time Fictitious Play,"
Games and Economic Behavior,
Elsevier, vol. 22(2), pages 238-259, February.
- Christopher Harris, 1994. "On theRate of Convergence of Continuous-Time Fictitious Play," Papers 0052, Boston University - Industry Studies Programme.
- Dov Monderer & Dov Samet & Aner Sela, 1994.
"Belief Affirming in Learning Processes,"
Game Theory and Information
9408002, EconWPA, revised 11 Aug 1994.
- Fudenberg, Drew & Levine, David K., 1995.
"Consistency and cautious fictitious play,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 19(5-7), pages 1065-1089.
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