Maximal elements of weakly continuous relations

Donald E. Campbell; Mark Walker

doi:10.1016/0022-0531(90)90013-A

Maximal elements of weakly continuous relations

Donald E. Campbell, Mark Walker

Economics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

A weaker than usual continuity property is defined for binary relations. Relations that have this property, along with certain transitivity properties, are shown to have maximal elements on compact sets. The results cover "interval orders," the kind of relations that often characterize choice situations in which similar alternatives are indistinguishable.

Original language	English (US)
Pages (from-to)	459-464
Number of pages	6
Journal	Journal of Economic Theory
Volume	50
Issue number	2
DOIs	https://doi.org/10.1016/0022-0531(90)90013-A
State	Published - Apr 1990

ASJC Scopus subject areas

Economics and Econometrics

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10.1016/0022-0531(90)90013-A

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abstract = "A weaker than usual continuity property is defined for binary relations. Relations that have this property, along with certain transitivity properties, are shown to have maximal elements on compact sets. The results cover {"}interval orders,{"} the kind of relations that often characterize choice situations in which similar alternatives are indistinguishable.",

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