4.6 Article

Decomposition algorithms for generalized potential games

Journal

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Volume 50, Issue 2, Pages 237-262

Publisher

SPRINGER
DOI: 10.1007/s10589-010-9331-9

Keywords

Generalized Nash equilibrium problem; Generalized potential game; Decomposition; Regularization

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We analyze some new decomposition schemes for the solution of generalized Nash equilibrium problems. We prove convergence for a particular class of generalized potential games that includes some interesting engineering problems. We show that some versions of our algorithms can deal also with problems lacking any convexity and consider separately the case of two players for which stronger results can be obtained.

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