A remark on a utility representation theorem of Rader (*)

Ghanshyam B. Mehta
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Ghanshyam B. Mehta: Department of Economics, University of Queensland, Brisbane, Queensland 4072, AUSTRALIA

Economic Theory, 1997, vol. 9, issue 2, 367-370

Abstract: In this note we consider some problems involved in proving the existence of a continuous real-valued utility function representing a preference relation. We claim that there is an error in the classical Rader proof of the existence of an upper semicontinuous utility function. We also pose some open questions regarding some problems in utility theory.

Date: 1997
Note: Received: June 16, 1995; revised version August 30, 1995
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