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Foundation Item:This work was supported by National Natural Science Foundation of China(10671039)An Exact Penalty Method for Vector Generalized Nash Equilibrium Problems

Keywords: vectorgeneralizedNashequilibriumproblem,vectorNashequilibriumproblem,vectoroptimization,exactpenaltyfunction2000MSC90C25doi10.3969/j.issn.1001-8395.2010.06.0101

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Abstract:

Inthispaper,westudyconstrainedvectorgeneralizedNashequilibriumproblemsinwhichallthefunctionsareconvex.Usingtheexactpenaltyfunctiontechnique,undercertainconditions,weshowthatsolvingsuchaconstrainedvectorgeneralizedNashequilibriumproblemcanbereducedtosolvingaconstrainedvectorNashequilibriumproblem.

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