拓扑序空间中的广义向量值均衡问题及其应用

Generalized Vector Equilibrium Problems and Its Applications in Topological Ordered Spaces

在拓扑序空间的框架下,利用一个序KKM型定理证明了一些广义向量值均衡问题解的存在性定理.并运用这些定理证明了在没有线性结构的拓扑序空间内非合作博弈的纳什均衡存在性定理.

Using an O-KKM type theorem, some existence theorems of solutions for abstract generalized vector equilibrium problems in the framework of topological ordered spaces is proved. Furthermore, these existence theorems can be applied to derive some Nasb equilibrium existence theorems for non-cooperative games in topological ordered spaces without linear structure.