Maximal elements and equilibria for condensing correspondences

被引：10

作者：

Chebbi, S

Florenzano, M

机构：

[1] CNRS, CEPREMAP, F-75013 Paris, France

[2] Univ Paris 01, CERMSEM, F-75013 Paris, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 08期

关键词：

measure of noncompactness; condensing correspondences; maximal elements; qualitative games; generalized games; abstract economies;

D O I：

10.1016/S0362-546X(98)00151-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a generalized notion of the measure of noncompactness, the existence of maximal elements for condensing preferences defined on a noncompact subset of Hausdorff locally convex topological vector space is proven. As an application, an equilibrium existence result is presented for noncompact generalized games with infinitely many agents, KF-majorized preferences and a condensing condition on the constraint correspondences.

引用

页码：995 / 1002

页数：8

共 13 条

[1]

Borglin A., 1976, J MATH ECON, V3, P313, DOI [10.1016/0304-4068(76)90016-1, DOI 10.1016/0304-4068(76)90016-1]

[2] FIXED POINT THEORY OF MULTI-VALUED MAPPINGS IN TOPOLOGICAL VECTOR SPACES [J].