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The Complexity of Computing a Nash Equilibrium

By Constantinos Daskalakis, Paul W. Goldberg, Christos H. Papadimitriou

Communications of the ACM, Vol. 52 No. 2, Pages 89-97
10.1145/1461928.1461951

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Traditionally, computational problems fall into two classes: those that have a polynomial-time algorithm and those that are NP-hard. However, the concept of NP-hardness cannot be applied to the rare problems where "every instance has a solution."

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