The existence and stability of α-core for discontinuous vector payoff games
This studies the existence and stability of α-core of games with discon-tinuous vector payoffs.By proposing the conditions of minimum values of games with vector payoffs and coalitional C-security,this gives two kinds of sufficient conditions to guarantee the existence of α-core of games with discontinuous vector payoffs.Further-more,by using the lemma for generalized Hadmard well-posedness,the well-posedness of α-core is proven for a kind of game with discontinuous vector payoffs.
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