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• W3083671381 abstract "This paper concerns the generalized Nash equilibrium problem of polynomials (GNEPP). We apply the Gauss-Seidel method and Lasserre type Moment-SOS relaxations to solve GNEPPs. The convergence of the Gauss-Seidel method is known for some special GNEPPs, such as generalized potential games (GPGs). We give a sufficient condition for GPGs and propose a numerical certificate, based on Putinar's Positivstellensatz. Numerical examples for both convex and nonconvex GNEPPs are given for demonstrating the efficiency of the proposed method." @default.
• W3083671381 created "2020-09-11" @default.
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• W3083671381 date "2020-09-06" @default.
• W3083671381 modified "2023-10-16" @default.
• W3083671381 title "The Gauss-Seidel Method for Generalized Nash Equilibrium Problems of Polynomials" @default.
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• W3083671381 doi "https://doi.org/10.48550/arxiv.2009.02809" @default.
• W3083671381 hasPublicationYear "2020" @default.
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