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arXiv · 1608.06580

Communication complexity of approximate Nash equilibria

Yakov Babichenko·Aviad Rubinstein
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Abstract

For a constant $\epsilon$, we prove a poly(N) lower bound on the (randomized) communication complexity of $\epsilon$-Nash equilibrium in two-player NxN games. For n-player binary-action games we prove an exp(n) lower bound for the (randomized) communication complexity of $(\epsilon,\epsilon)$-weak approximate Nash equilibrium, which is a profile of mixed actions such that at least $(1-\epsilon)$-fraction of the players are $\epsilon$-best replying.

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Yakov Babichenko, Aviad Rubinstein. 2016-08-23. Communication complexity of approximate Nash equilibria. https://arxiv.org/abs/1608.06580

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