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On the interpretation of the WTP/WTA gap as imprecise utility: an axiomatic analysis

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  • Raphaël Giraud

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE], LED - Laboratoire d'Economie Dionysien - UP8 - Université Paris 8 Vincennes-Saint-Denis)

Abstract

The willingness-to-pay (WTP) and willingness-to-accept (WTA) disparity reported in a rich empirical literature suggests that people have only an imprecise idea of how valuable a good is to them. In this note, we provide axioms that formally relate this imprecision in the evaluation of a good to the imprecision in the utility function, in the sense that x is strictly preferred to y iff the WTP for x is larger than the WTA for y. The preference relation is therefore an interval order (Fishburn (1970)) with ''interval utility' equal to the WTP/WTA interval itself. Applications to preference for liquidity and the strength of the status quo bias are given.

Suggested Citation

  • Raphaël Giraud, 2010. "On the interpretation of the WTP/WTA gap as imprecise utility: an axiomatic analysis," Post-Print halshs-00490846, HAL.
    • Handle: RePEc:hal:journl:halshs-00490846
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00490846
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    References listed on IDEAS

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    1. Jose Apesteguia & Miguel Ballester, 2009. "A theory of reference-dependent behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 427-455, September.
    2. Raphaël Giraud, 2012. "Money matters: an axiomatic theory of the endowment effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 303-339, June.
    3. Charles R. Plott & Kathryn Zeiler, 2005. "The Willingness to Pay–Willingness to Accept Gap, the "Endowment Effect," Subject Misconceptions, and Experimental Procedures for Eliciting Valuations," American Economic Review, American Economic Association, vol. 95(3), pages 530-545, June.
    4. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    5. Sagi, Jacob S., 2006. "Anchored preference relations," Journal of Economic Theory, Elsevier, vol. 130(1), pages 283-295, September.
    6. Ulrich Schmidt & Stefan Traub, 2009. "An Experimental Investigation of the Disparity Between WTA and WTP for Lotteries," Theory and Decision, Springer, vol. 66(3), pages 229-262, March.
    7. Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
    8. Munro, Alistair & Sugden, Robert, 2003. "On the theory of reference-dependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 50(4), pages 407-428, April.
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    1. Raphaël Giraud, 2012. "Money matters: an axiomatic theory of the endowment effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 303-339, June.
    2. Lamiraud, Karine & Oxoby, Robert & Donaldson, Cam, 2016. "Reference Dependence and Incremental WTP," ESSEC Working Papers WP1609, ESSEC Research Center, ESSEC Business School.

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    More about this item

    Keywords

    WTA-WTP Gap; Reference-dependent preferences; interval orders; imprecise utility;
    All these keywords.

    JEL classification:

    • D0 - Microeconomics - - General
    • D1 - Microeconomics - - Household Behavior

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