具效用函数的拓扑型非紧抽象经济的拟-平衡点定理

Equilibrium Point theorems for noncompact topological abstract economy with utility functions

本文在不具线性结构的区间空间中，研究了具效用函数的拓扑型非紧抽象经济的拟－平衡问题。所得结果改进和发展了Ａｒｏｗ－Ｄｅｂｒｅｕ［１］，Ｄｅｂｒｅｕ［５］，Ｎａｓｈ［７］，ＲｉｍａｎｄＫｉｍ［８］，Ｔａｒａｆ－ｄａｒ［１０］中的相应结果。

In this paper, one kind of topological noncompact quasi-equilibrium problems for abstract economies is researched. Our results improve and develop corresponding results of Arrow-Debreu,Debreu,Nash,Rim and Kim,Tarafdar.