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On Generalized Weight Nash Equilibria for Generalized

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Abstract

In this paper, we will introduce the general concepts ofgeneralized multiobjective game, generalized weight Nashequilibria and generalized Pareto equilibria. Next using the fixedpoint theorems due to Idzik [5] and Kim-Tan [6], we shall provethe existence theorems of generalized weight Nash equilibria undergeneral hypotheses. And as applications of generalized weightNash equilibria, we shall prove the existence of generalizedPareto equilibria in non-compact generalized multiobjective game.

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