中文摘要：

基于有限理性下多目标群体博弈平衡点的精炼,提出弱Pareto完美平衡点的概念。首先,应用向量值Ky Fan不等式证明一般情形下多目标群体博弈中的弱Pareto-Nash平衡点的存在性。其次,给出弱Pareto完美平衡点的存在性。

英文摘要：

Based on the refinement of equilibria under bounded rationality, the concept of weakly Pareto perfect equilibria for muhiobjective population games was proposed. Firstly, the existence of weakly Pareto-Nash equilibria was proven by the application of ＇ vector- valued Ky Fan inequality＇. Moreover, the existence theorem for weakly Pareto perfect equilibria was established.