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A preference foundation for constant loss aversion

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  • Peters, H.J.M.

    (Quantitative Economics)

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.
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Suggested Citation

  • Peters, H.J.M., 2010. "A preference foundation for constant loss aversion," Research Memorandum 062, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2010062
    DOI: 10.26481/umamet.2010062
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    Cited by:

    1. Driesen, Bram & Perea, Andrés & Peters, Hans, 2012. "Alternating offers bargaining with loss aversion," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 103-118.
    2. Hans Peters, 2022. "Risk aversion for losses and the Nash bargaining solution," Theory and Decision, Springer, vol. 92(3), pages 703-715, April.
    3. Han Bleichrodt & Jason N. Doctor & Yu Gao & Chen Li & Daniella Meeker & Peter P. Wakker, 2019. "Resolving Rabin’s paradox," Journal of Risk and Uncertainty, Springer, vol. 59(3), pages 239-260, December.
    4. Chunsheng Cui & Zhongwei Feng & Chunqiao Tan, 2018. "Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs," Complexity, Hindawi, vol. 2018, pages 1-16, December.
    5. 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.
    6. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    7. 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.
    8. Olivier L'Haridon & Craig S. Webb & Horst Zank, 2021. "An Effective and Simple Tool for Measuring Loss Aversion," Economics Discussion Paper Series 2107, Economics, The University of Manchester.
    9. Mohammed Abdellaoui & Han Bleichrodt & Enrico Diecidue & Horst Zank, 2022. "Introduction to the Special Issue in Honor of Peter Wakker," Theory and Decision, Springer, vol. 92(3), pages 433-444, April.
    10. Zhongwei Feng & Chunqiao Tan, 2019. "Pricing, Green Degree and Coordination Decisions in a Green Supply Chain with Loss Aversion," Mathematics, MDPI, vol. 7(3), pages 1-25, March.
    11. Zhongwei Feng & Chunqiao Tan, 2019. "Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion," Complexity, Hindawi, vol. 2019, pages 1-23, March.
    12. Jianwei Gao & Huihui Liu, 2017. "Generalized Ordered Weighted Reference Dependent Utility Aggregation Operators and Their Applications to Group Decision-Making," Group Decision and Negotiation, Springer, vol. 26(6), pages 1173-1207, November.

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