本文讨论了集值映射的Nash平衡点的存在及平衡点集的通有稳定性,得到大多数的集值映射的Nash平衡点集是稳定的。

In this paper, we obtain the existence theorem of Nash equilibrium for set-valued mappings, and study the generic stability of Nash equilibria for set-valued mappings. We prove that most of the game systems of set-valued mappings are essential.