H－空间上N－人非协作对策的Nash平衡点的存在性定理

EXISTENCE THEOREMS OF NASH EQUILIBRIUM POINTS FOR N PERSON GAMES ON H SPACE

本文给出Ｈ－空间上几种对策模型的Ｎａｓｈ平衡点的存在性定理，这些结论不仅是Ｈａｕｓｄｏｒｆｆ拓扑线性空间中相应结论的推广，而且为进一步研究Ｈ－空间上对策的解及稳定性打下一定基础。

In this paper, existence theorems of Nash-equilibrium points for several class game models on H-space are given, the results are not only general for Hausdorff topological vector space but also the fundamentals to study furtherly the existence and stability of games on H-space.