Well-posedness and Existence for the Weak Multicriteria Nash Equilibrium of Multicriteria Games

In this paper, we mainly study a class of multicriteria games. We establish an existence theorem for the weak multicriteria Nash equilibrium of multicriteria games in which a weak form of upper semicontinuity and quasiconvexity on payoff functions is allowed. Moreover, we introduce the concept of ΓC-convergence for the sequence of payoff mappings and obtain the sufficient conditions for generalized Hadamard well-posedness of multicriteria games.