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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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 48 (2012)
Issue (Month): 1 ()
Pages: 21-25

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Handle: RePEc:eee:mateco:v:48:y:2012:i:1:p:21-25

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Web page: http://www.elsevier.com/locate/jmateco

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Keywords: Decision making under risk; Reference outcome; Loss aversion;

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References

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  1. Tversky, Amos & Kahneman, Daniel, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, MIT Press, vol. 106(4), pages 1039-61, November.
  2. Mohammed Abdellaoui & Han Bleichrodt & Corina Paraschiv, 2007. "Loss Aversion Under Prospect Theory: A Parameter-Free Measurement," Management Science, INFORMS, vol. 53(10), pages 1659-1674, October.
  3. Driesen, Bram & Perea, Andrés & Peters, Hans, 2007. "On loss aversion in bimatrix games," Research Memorandum 033, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  4. 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 441-50, August.
  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.
  6. Genesove, David & Mayer, Christopher, 2001. "Loss Aversion and Seller Behaviour: Evidence from the Housing Market," CEPR Discussion Papers 2813, C.E.P.R. Discussion Papers.
  7. Botond Koszegi & Matthew Rabin, 2005. "A Model of Reference-Dependent Preferences," Levine's Bibliography 784828000000000341, UCLA Department of Economics.
  8. Rina Rosenblatt-Wisch, 2007. "Loss Aversion in Aggregate Macroeconomic Time Series," Working Papers 2007-06, Swiss National Bank.
  9. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  10. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151.
  11. 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.
  12. Caroline Freund & Caglar Ozden, 2008. "Trade Policy and Loss Aversion," American Economic Review, American Economic Association, vol. 98(4), pages 1675-91, September.
  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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Cited by:
  1. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
  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.

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