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arXiv · 2011.06660

Communication complexity of Nash equilibrium in potential games

Yakov Babichenko·Aviad Rubinstein
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Abstract

We prove communication complexity lower bounds for (possibly mixed) Nash equilibrium in potential games. In particular, we show that finding a Nash equilibrium requires $poly(N)$ communication in two-player $N \times N$ potential games, and $2^{poly(n)}$ communication in $n$-player two-action games. To the best of our knowledge, these are the first results to demonstrate hardness in any model of (possibly mixed) Nash equilibrium in potential games.

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Yakov Babichenko, Aviad Rubinstein. 2020-11-12. Communication complexity of Nash equilibrium in potential games. https://arxiv.org/abs/2011.06660

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