Smooth Fictitious Play in $N\times 2$ Potential Games

Brian Swenson; H. Vincent Poor

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arXiv · 1912.00251

Smooth Fictitious Play in $N\times 2$ Potential Games

Brian Swenson·H. Vincent Poor

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Abstract

The paper shows that smooth fictitious play converges to a neighborhood of a pure-strategy Nash equilibrium with probability 1 in almost all $N\times 2$ ($N$-player, two-action) potential games. The neighborhood of convergence may be made arbitrarily small by taking the smoothing parameter to zero. Simple proof techniques are furnished by considering regular potential games.

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BibTeX RIS

Brian Swenson, H. Vincent Poor. 2019-11-30. Smooth Fictitious Play in $N\times 2$ Potential Games. https://arxiv.org/abs/1912.00251

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