The Query Complexity of Correlated Equilibria

Sergiu Hart and Noam Nisan

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

Abstract: We consider the complexity of finding a Correlated Equilibrium in an n-player game in a model that allows the algorithm to make queries for players' utilities at pure strategy profiles. Many randomized regret-matching dynamics are known to yield an approximate correlated equilibrium quickly: in time that is polynomial in the number of players, n, the number of strategies of each player, m, and the approximation error, 1/?. Here we show that both randomization and approximation are necessary: no efficient deterministic algorithm can reach even an approximate equilibrium and no efficient randomized algorithm can reach an exact equilibrium.

Date: 2013-09
New Economics Papers: this item is included in nep-gth, nep-hpe and nep-mic
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Related works:
Journal Article: The query complexity of correlated equilibria (2018)
Working Paper: The Query Complexity of Correlated Equilibria (2017)
Working Paper: The Query Complexity of Correlated Equilibria (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:huj:dispap:dp647

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