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:	Universität Bielefeld
Subject:	Utility representation \| Linear continuity

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Type of publication:	Other
Language:	English
Source:	BASE

Persistent link: https://ebvufind01.dmz1.zbw.eu/10009452553