Nash-equilibria and N-fold integer programming - Mathematics > Optimization and ControlReport as inadecuate




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



Author: Raymond Hemmecke, Shmuel Onn, Robert Weismantel

Source: https://arxiv.org/



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