Nash-equilibria and N-fold integer programming

Details Nash-equilibria and N-fold integer programming Nash-equilibria and N-fold integer programming

2009-03-26

arxiv.org/abs/0903.4577v1

Mathematics

Optimization and Control

Scientific paper

Inspired by a paper of R. W. Rosenthal, we investigate generalized Nash-equilibria of integer programming games. We show that generalized Nash-equilibria always exist and are related to an optimal solution of a so-called N-fold integer program. This link allows us to establish some polynomial time complexity results about solving this optimization problem and its inverse counter-part.

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