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Fictitious Play in 2 x 2 Games: A Geometric Proof of Convergence

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Author Info
Metrick, Andrew
Polak, Ben

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Abstract

This paper provides a new proof of Miyasawa's (1961) result showing the convergence of fictitious play in 2x2 games. The novelty of the approach used here is that it rests entirely on the geometric properties of the best-response correspondence. The geometric approach greatly shortens the exposition, and it suggests some possible extensions to more difficult convergence conjectures.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 4 (1994)
Issue (Month): 6 (October)
Pages: 923-33
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Handle: RePEc:spr:joecth:v:4:y:1994:i:6:p:923-33

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  1. Ulrich Berger, 2003. "Continuous Fictitious Play via Projective Geometry," Game Theory and Information 0303004, EconWPA. [Downloadable!]
  2. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA. [Downloadable!]
  3. Ulrich Berger, 2003. "Fictitious play in 2xn games," Game Theory and Information 0303009, EconWPA. [Downloadable!]
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This page was last updated on 2009-10-24.

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