Query Complexity of Approximate Nash Equilibria

Yakov Babichenko

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arXiv · 1306.6686

Query Complexity of Approximate Nash Equilibria

Yakov Babichenko

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Abstract

We study the query complexity of approximate notions of Nash equilibrium in games with a large number of players $n$. Our main result states that for $n$-player binary-action games and for constant $\varepsilon$, the query complexity of an $\varepsilon$-well-supported Nash equilibrium is exponential in $n$. One of the consequences of this result is an exponential lower bound on the rate of convergence of adaptive dynamics to approxiamte Nash equilibrium.

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BibTeX RIS

Yakov Babichenko. 2013-06-28. Query Complexity of Approximate Nash Equilibria. https://arxiv.org/abs/1306.6686

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