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

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.
Year of publication:
1994
Authors: Metrick, Andrew ; Polak, Ben
Published in:
Economic Theory. - Springer. - Vol. 4.1994, 6, p. 923-33
Publisher: Springer
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10005597879
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