On the convergence of fictitious play

On the convergence of fictitious play

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Article ID: iaor2004656
Country: United States
Volume: 23
Issue: 2
Start Page Number: 479
End Page Number: 511
Publication Date: May 1998
Journal: Mathematics of Operations Research
Authors: ,
Abstract:

We study the Brown–Robinson fictitious play process for non-zero sum games. We show that, in general, fictitious play cannot converge cyclically to a mixed strategy equilibrium in which both players use more than two pure strategies.

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