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A preference foundation for constant loss aversion

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  • Peters, Hans

Abstract

Following prospect theory and in particular the concept of loss aversion, introduced by Kahneman and Tversky (1979), we consider decision making under risk in which the decision maker’s preferences depend on a reference outcome. An outcome below this reference outcome is regarded as resulting from a loss: a loss decreases the decision maker’s basic utility more than a comparable gain increases this utility. An elegant and simple way to model this phenomenon was proposed by Shalev (2002): the utility of an outcome below the reference outcome is obtained from the basic utility by subtracting a multiple of the loss in basic utility: this multiple, the loss aversion coefficient, is constant across different reference outcomes. We provide a preference foundation for this loss aversion model.

Suggested Citation

  • Peters, Hans, 2012. "A preference foundation for constant loss aversion," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 21-25.
  • Handle: RePEc:eee:mateco:v:48:y:2012:i:1:p:21-25
    DOI: 10.1016/j.jmateco.2011.11.003
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    References listed on IDEAS

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    1. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1133-1165.
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    4. Bram Driesen & Andrés Perea & Hans Peters, 2010. "On Loss Aversion in Bimatrix Games," Theory and Decision, Springer, vol. 68(4), pages 367-391, April.
    5. Lorenz Goette & David Huffman & Ernst Fehr, 2004. "Loss Aversion and Labor Supply," Journal of the European Economic Association, MIT Press, vol. 2(2-3), pages 216-228, 04/05.
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    7. David Genesove & Christopher Mayer, 2001. "Loss Aversion and Seller Behavior: Evidence from the Housing Market," The Quarterly Journal of Economics, Oxford University Press, vol. 116(4), pages 1233-1260.
    8. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, Oxford University Press, vol. 106(4), pages 1039-1061.
    9. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151-151.
    10. Jonathan Shalev, 2000. "Loss aversion equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 269-287.
    11. Dunn, L F, 1996. "Loss Aversion and Adaptation in the Labor Market: Empirical Indifference Functions and Labor Supply," The Review of Economics and Statistics, MIT Press, vol. 78(3), pages 441-450, August.
    12. Ingolf Dittmann & Ernst Maug & Oliver Spalt, 2010. "Sticks or Carrots? Optimal CEO Compensation when Managers Are Loss Averse," Journal of Finance, American Finance Association, vol. 65(6), pages 2015-2050, December.
    13. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    14. Sugden, Robert, 2003. "Reference-dependent subjective expected utility," Journal of Economic Theory, Elsevier, vol. 111(2), pages 172-191, August.
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    1. repec:spr:grdene:v::y::i::d:10.1007_s10726-017-9535-9 is not listed on IDEAS
    2. Driesen, Bram & Perea, Andrés & Peters, Hans, 2012. "Alternating offers bargaining with loss aversion," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 103-118.
    3. Driesen, Bram & Perea, Andrés & Peters, Hans, 2011. "The Kalai-Smorodinsky bargaining solution with loss aversion," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 58-64, January.
    4. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    5. Adriana Piazza & Bernardo Pagnoncelli, 2015. "The stochastic Mitra–Wan forestry model: risk neutral and risk averse cases," Journal of Economics, Springer, vol. 115(2), pages 175-194, June.
    6. repec:spr:grdene:v:26:y:2017:i:6:d:10.1007_s10726-017-9535-9 is not listed on IDEAS

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