Small Clique Detection and Approximate Nash Equilibria

  title={Small Clique Detection and Approximate Nash Equilibria},
  author={Lorenz Minder and Dan Vilenchik},
Recently, Hazan and Krauthgamer showed [12] that if, for a fixed small ε, an ε-best ε-approximate Nash equilibrium can be found in polynomial time in two-player games, then it is also possible to find a planted clique in Gn,1/2 of size C log n, where C is a large fixed constant independent of ε. In this paper, we extend their result to show that if an ε-best ε-approximate equilibrium can be efficiently found for arbitrarily small ε > 0, then one can detect the presence of a planted clique of… CONTINUE READING
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