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46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05)
Nash Equilibria in Random Games
Pittsburgh, Pennsylvania, USA
October 23-October 25
ISBN: 0-7695-2468-0
Imre Barany, Imre Barany
Adrian Vetta, Adrian Vetta

We consider Nash equilibria in 2-player random games and analyze a simple Las Vegas algorithm for finding an equilibrium. The algorithm is combinatorial and always finds a Nash equilibrium; on m x n payoff matrices,it runs in time O(a^2 n\log \log n + n^2 m\log \log n) with high probability. Our main tool is a polytope formulation of equilibria.

Citation:
Imre Barany, Santosh Vempala, Adrian Vetta, "Nash Equilibria in Random Games," focs, pp.123-131, 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05), 2005
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