The Complexity of Pure Nash Equilibria
- Alex Fabrikant ,
- Christos Papadimitriou ,
- Kunal Talwar
STOC '04: Proceedings of the thirty-sixth annual ACM symposium on Theory of computing |
Published by Association for Computing Machinery, Inc.
We investigate from the computational viewpoint multi-player games that are guaranteed to have pure Nash equilibria. We focus on congestion games, and show that a pure Nash equilibrium can be computed in polynomial time in the symmetric network case, while the problem is PLS-complete in general. We discuss implications to non-atomic congestion games, and we explore the scope of the potential function method for proving existence of pure Nash equilibria.
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