度量空间下Nash平衡点存在性

摘要

在度量空间下,定义向量对策理想Nash平衡点.并在相应的条件下证明这一平衡点的存在性.同时在这一结果的基础上,给出了有效的Nash平衡点存在的条件.%The paper defines ideal-Nash equilibrium point of the vector game on the metric space. At the same time,it proves the existence of the equilibrium point. According to the result having just been proved, it provides existent conditions of the efficient Pareto-Nash equilibrium point.