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A geometric approach to temptation

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  • Abe, Koji

Abstract

We provide a simple geometric proof of the Gul and Pesendorfer’s (Gul and Pesendorfer, 2001) utility representation theorem about choice under temptation without self-control. We extract two incomplete orders from preferences: temptation relation and resistance relation. We characterize those relations geometrically and obtain temptation utility using a separation method à la Aumann (Aumann, 1962).

Suggested Citation

  • Abe, Koji, 2012. "A geometric approach to temptation," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 92-97.
  • Handle: RePEc:eee:mateco:v:48:y:2012:i:2:p:92-97 DOI: 10.1016/j.jmateco.2012.01.002
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    References listed on IDEAS

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    1. Jawwad Noor, 2006. "Menu-Dependent Self-Control," Boston University - Department of Economics - Working Papers Series WP2006-021, Boston University - Department of Economics.
    2. Faruk Gul & Wolfgang Pesendorfer, 2005. "The Revealed Preference Theory of Changing Tastes," Review of Economic Studies, Oxford University Press, pages 429-448.
    3. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," Review of Economic Studies, Oxford University Press, vol. 23(3), pages 165-180.
    4. Kopylov Igor, 2009. "Temptations in General Settings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, September.
    5. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, pages 118-133.
    6. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    7. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    8. anonymous, 1991. "Fed upgrades functional cost analysis program," Financial Update, Federal Reserve Bank of Atlanta, issue Win, pages 1-2,6.
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    Cited by:

    1. repec:eee:mateco:v:70:y:2017:i:c:p:1-28 is not listed on IDEAS
    2. Xiangyu Qu, 2016. "Commitment and anticipated utilitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 349-358, August.
    3. Noor, Jawwad & Takeoka, Norio, 2015. "Menu-dependent self-control," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 1-20.

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    Keywords

    Temptation; No self-control; Temptation utility;

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