Consistency of Vanishingly Smooth Fictitious Play

Published Online:https://doi.org/10.1287/moor.1120.0568

We discuss consistency of vanishingly smooth fictitious play, a strategy in the context of game theory, which can be regarded as a smooth fictitious play procedure, where the smoothing parameter is time dependent and asymptotically vanishes. This answers a question initially raised by Drew Fudenberg and Satoru Takahashi.

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