A utility representation theorem with weaker continuity condition

We prove that a preference relation which is continuous on every straight line 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 theirs.

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Year of publication:	2008
Authors:	Inoue, Tomoki
Publisher:	Bielefeld : Bielefeld University, Institute of Mathematical Economics (IMW)
Subject:	Nutzentheorie \| Präferenztheorie \| Theorie \| Linear continuity \| Utility representation

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Series:	Working Papers ; 401
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	584635842 [GVK] hdl:10419/43833 [Handle]
Classification:	C60 - Mathematical Methods and Programming. General ; D11 - Consumer Economics: Theory
Source:	EconStor

Persistent link: https://www.econbiz.de/10010272616