ACM Conference on Electronic Commerce 2007
Conference paper

Progress in approximate nash equilibria

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It is known [5] that an additively ε-approximate Nash equilibrium (with supports of size at most two) can be computed in polynomial time in any 2-player game with ε = .5. It is also known that no approximation better than .5 is possible unless equilibria with support larger than log n are considered, where n is the number of strategies per player. We give a polynomial algorithm for computing an ε-approximate Nash equilibrium in 2-player games with ε ≈ .38; our algorithm computes equilibria with arbitrarily large supports. Copyright 2007 ACM.