APPROXIMATION METHOD AND EQUILIBRIA OF ABSTRACT ECONOMIES

被引：24

作者：

TAN, KK ^{[1
]}

YUAN, XZ ^{[1
]}

机构：

[1] UNIV QUEENSLAND,DEPT MATH,BRISBANE,QLD 4072,AUSTRALIA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 02期

关键词：

COMPACTLY OPEN; OPEN GRAPH; CLOSED GRAPH; LOWER SEMICONTINUOUS; UPPER SEMICONTINUOUS; CLASS L(C); L(C)-MAJORANT; L(C)-MAJORIZED; ONE-PERSON GAME; QUALITATIVE GAME; GENERALIZED GAME; ABSTRACT ECONOMY; EQUILIBRIUM POINT; PARACOMPACT; TOPOLOGICAL VECTOR SPACE; LOCALLY CONVEX SPACE;

D O I：

10.2307/2161042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying an equilibrium existence theorem for a qualitative game due to Ding and Tan and by employing an ''approximation'' method used by Tulcea, we obtain an equilibrium existence theorem for an abstract economy (generalized game) in which the constraint correspondences are not assumed to have open graphs nor open lower sections (which are generally assumed in the literature). Our result generalizes the corresponding results of Shafer and Sonnenschein (1975), Borglin and Keiding (1976), Yannelis and Prabhakar (1983), Tulcea (1986), and Chang (1990) in several ways.

引用

页码：503 / 510

页数：8

共 10 条

[1] EQUILIBRIA IN MARKETS WITH A RIESZ SPACE OF COMMODITIES [J].