Characterization of the existence of maximal elements of acyclic relations

被引：22

作者：

Alcantud, JCR ^{[1
]}

机构：

[1] Univ Salamanca, Fac Econ & Empresa, E-37008 Salamanca, Spain

来源：

ECONOMIC THEORY | 2002年 / 19卷 / 02期

关键词：

maximal elements; acyclicity; greater than or similar to-compactness;

D O I：

10.1007/PL00004219

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

We obtain a sufficient condition for the existence of maximal elements of irreflexive binary relations that generalizes the theorem of Bergstrom and Walker by relaxing the compactness condition to a weaker one that is naturally related to the relation. We then prove that the sufficient conditions used both in the Bergstrom-Walker Theorem and in our generalization provide a characterization of the existence of maximal elements of acyclic binary relations. Other sufficient conditions for the existence of maximal elements obtained by Mehta, by Peris and Subiza and by Campbell and Walker are shown to be necessary too.

引用

页码：407 / 416

页数：10

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