向量对策理想-Nash平衡点的存在性

The Existence of Ideal-Nash Equilibrium Point in Vector Game

本文采用向量优化问题中理想解的概念,定义向量对策理想-Nash平衡点,并证明这一平衡点的存在性．这一结果一方面体现了向量对策Pareto-Nash平衡点和弱Pareto-Nash平衡点的存在性,同时,还给出了特殊的Pareto-Nash平衡点的存在性．

In this paper, we first define ideal-Nash equilibrium point in vector game, according to the definition of ideal solution in vector optimization. Then we consider the existence of the ideal-Nash equilibrium point in vector game. This conclusion proposes the existence of the Pareto-Nash equilibrium point, weakly Pareto-Nash equilibrium point in vector game. In the meanwhile, it proposes the existence of the special Pareto-Nash equilibrium point.