EconStor >
Universität Bielefeld >
Institute of Mathematical Economics (IMW), Universität Bielefeld >
Working Papers, Institute of Mathematical Economics, Universität Bielefeld >

Please use this identifier to cite or link to this item:
Title:A utility representation theorem with weaker continuity condition PDF Logo
Authors:Inoue, Tomoki
Issue Date:2008
Series/Report no.:Working papers // Institute of Mathematical Economics 401
Abstract: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.
Subjects:Linear continuity
Utility representation
Persistent Identifier of the first edition:urn:nbn:de:hbz:361-13695
Document Type:Working Paper
Appears in Collections:Working Papers, Institute of Mathematical Economics, Universität Bielefeld

Files in This Item:
File Description SizeFormat
584635842.pdf248.63 kBAdobe PDF
No. of Downloads: Counter Stats
Download bibliographical data as: BibTeX
Share on:

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.