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

Author

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  • Ghanshyam B. Mehta

    (Department of Economics, University of Queensland, Brisbane, Queensland 4072, AUSTRALIA)

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.

Suggested Citation

  • Ghanshyam B. Mehta, 1997. "A remark on a utility representation theorem of Rader (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 367-370.
    • Handle: RePEc:spr:joecth:v:9:y:1997:i:2:p:367-370
    Note: Received: June 16, 1995; revised version August 30, 1995
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    Cited by:

    1. J. Alcantud & G. Bosi & M. Campión & J. Candeal & E. Induráin & C. Rodríguez-Palmero, 2008. "Continuous Utility Functions Through Scales," Theory and Decision, Springer, vol. 64(4), pages 479-494, June.
    2. Bosi, G. & Mehta, G. B., 2002. "Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 311-328, November.
    3. Cesar Martinelli & Mikhail Freer, 2016. "General Revealed Preferences," Working Papers 1059, George Mason University, Interdisciplinary Center for Economic Science, revised Jun 2016.
    4. Bosi, Gianni & Zuanon, Magalì, 2014. "Upper semicontinuous representations of interval orders," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 60-63.
    5. Gianni Bosi & Laura Franzoi, 2023. "A simple characterization of the existence of upper semicontinuous order-preserving functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 203-210, October.
    6. Bosi, Gianni & Zuanon, Magalì, 2010. "A generalization of Rader's utility representation theorem," MPRA Paper 24314, University Library of Munich, Germany.

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