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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
JEL:C60
D11
Persistent Identifier of the first edition:urn:nbn:de:hbz:361-13695
Document Type:Working Paper
Appears in Collections:Working Papers, Center for Mathematical Economics (IMW), Bielefeld University

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