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A utility representation theorem with weaker continuity condition

We prove that a mixture continuous preference relation has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than the usual continuity assumed by them.
Year of publication:
2010
Authors: Inoue, Tomoki
Published in:
Journal of Mathematical Economics. - Elsevier, ISSN 0304-4068. - Vol. 46.2010, 1, p. 122-127
Publisher: Elsevier
Subject: Mixture continuity Utility representation
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10008521770
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