A utility representation theorem with weaker continuity condition

Tomoki Inoue

Journal of Mathematical Economics, 2010, vol. 46, issue 1, 122-127

Abstract: 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.

Keywords: Mixture; continuity; Utility; representation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:46:y:2010:i:1:p:122-127

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