A utility representation theorem with weaker continuity condition

Tomoki Inoue
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Tomoki Inoue: Center for Mathematical Economics, Bielefeld University

No 401, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

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.

Keywords: Linear continuity; Utility representation (search for similar items in EconPapers)
Date: 2011-08-15
New Economics Papers: this item is included in nep-upt
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Citations: View citations in EconPapers (1)

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