多目标博弈平衡点存在性定理的推广

Generalization of the Existence Theorem of Equilibrium Points for Multiobjective Games

以向量值KyFan不等式的推广为基础,讨论支付函数为向量形式的n人非合作多目标博弈弱Pareto-Nash平衡点存在性条件,将多目标博弈平衡点存在性定理中策略空间的紧性,支付函数的凸性等条件减弱.

Based on the extension of the vector-valued Ky Fan inequality,the paper discussed some existence conditions of weakly Pareto-Nash equilibrium points for n-person noncooperative multiobjective games with vector-valued payoff function,then the existence conditions of equilibrium points for multiobjective games are weakened by relaxing the compactness of strategy space,the convexity of vector-valued payoff function.