Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/43833
Authors: 
Inoue, Tomoki
Year of Publication: 
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: 
Document Type: 
Working Paper

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