Upper semicontinuous extensions of binary relations
type: Item
instance of: scholarly article
title: Upper semicontinuous extensions of binary relations
zbMATH Open document ID: 1028.91013
DOI: 10.1016/S0304-4068(02)00017-4
author: Walter Bossert
author: Yves Sprumont
author: Kotaro Suzumura
published in: Journal of Mathematical Economics
publication date: 2002-12-02T00:00:00Z
review text: The notion of consistency in binary relations is considered. The authors provide sufficient conditions for the existence of upper semicontinuous extensions of consistent rather than transitive relations. For asymmetric relations, consistency and upper semicontinuity suffice. For more general relations, two sufficiency theorems, each of which uses one additional axiom is proved. The first employs a comparability property, and in second, another continuity requirement is added.
Mathematics Subject Classification ID: 91B08
zbMATH DE Number: 1839108
zbMATH Keywords: Extensions
zbMATH Keywords: Upper semicontinuity
zbMATH Keywords: Consistency
MaRDI profile type: Publication
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full work available at URL: s0304-4068(02)00017-4
OpenAlex ID: W3122339246
description: scientific article; zbMATH DE number 1839108