Query Complexity of Approximate Nash Equilibria

preprint2014arXivOpen access

Abstract

We study the query complexity of approximate notions of Nash equilibrium in games with a large number of players nn. Our main result states that for nn-player binary-action games and for constant ε\varepsilon, the query complexity of an ε\varepsilon-well-supported Nash equilibrium is exponential in nn. 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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