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:	2008-09
Authors:	Inoue, Tomoki
Institutions:	Institut für Mathematische Wirtschaftsforschung, Universität Bielefeld
Subject:	linear continuity \| utility representation

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Extent:	application/pdf
Series:	Working Papers.
Type of publication:	Book / Working Paper
Language:	English
Notes:	Number 401 24 pages
Classification:	C60 - Mathematical Methods and Programming. General ; D11 - Consumer Economics: Theory
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10005687757