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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. Noor, Jawwad & Takeoka, Norio, 2015. "Menu-dependent self-control," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 1-20.
    2. Faruk Gul & Wolfgang Pesendorfer, 2005. "The Revealed Preference Theory of Changing Tastes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 429-448.
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    5. Kopylov Igor, 2009. "Temptations in General Settings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, September.
    6. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    7. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    8. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    9. 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. Mihm, Maximilian & Ozbek, Kemal, 2019. "On the identification of changing tastes," Games and Economic Behavior, Elsevier, vol. 116(C), pages 203-216.
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    3. 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.
    4. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.

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