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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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    5. Noor, Jawwad & Takeoka, Norio, 2015. "Menu-dependent self-control," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 1-20.
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    7. Kopylov Igor, 2009. "Temptations in General Settings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, September.
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    Cited by:

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    3. Noor, Jawwad & Takeoka, Norio, 2015. "Menu-dependent self-control," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 1-20.
    4. 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.

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