不连续向量支付博弈α-核的存在性与稳定性

The existence and stability ofα-core for discontinuous vector payoff games

本文研究了不连续向量支付博弈α-核的存在性和稳定性,提出了向量支付博弈的联盟最小值条件和向量支付博弈的联盟C-安全性条件,从而给出了保证不连续向量支付博弈α-核存在的两类充分条件,进一步利用广义Hadmard良定性的引理,证明了一类不连续向量支付博弈α-核的良定性。

This studies the existence and stability ofα-core of games with discontinuous 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 ofα-core of games with discontinuous vector payoffs.Furthermore,by using the lemma for generalized Hadmard well-posedness,the well-posedness of Q-core is proven for a kind of game with discontinuous vector payoffs.