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Loss Aversion Under Prospect Theory: A Parameter-Free Measurement

Author

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  • Mohammed Abdellaoui

    (CNRS-GREGHEC and HEC School of Management, Paris, F-78350 Jouy-en-Josas, France)

  • Han Bleichrodt

    (Department of Economics, Erasmus University, 3000 DR Rotterdam, The Netherlands)

  • Corina Paraschiv

    (Université de Paris V and GREGHEC, Paris, F-78350 Jouy-en-Josas, France)

Abstract

Agrowing body of qualitative evidence shows that loss aversion, a phenomenon formalized in prospect theory, can explain a variety of field and experimental data. Quantifications of loss aversion are, however, hindered by the absence of a general preference-based method to elicit the utility for gains and losses simultaneously. This paper proposes such a method and uses it to measure loss aversion in an experimental study without making any parametric assumptions. Thus, it is the first to obtain a parameter-free elicitation of prospect theory's utility function on the whole domain. Our method also provides an efficient way to elicit utility midpoints, which are important in axiomatizations of utility. Several definitions of loss aversion have been put forward in the literature. According to most definitions we find strong evidence of loss aversion, at both the aggregate and the individual level. The degree of loss aversion varies with the definition used, which underlines the need for a commonly accepted definition of loss aversion.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:53:y:2007:i:10:p:1659-1674
    DOI: 10.1287/mnsc.1070.0711
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    1. Fennema, Hein & van Assen, Marcel, 1998. "Measuring the Utility of Losses by Means of the Tradeoff Method," Journal of Risk and Uncertainty, Springer, vol. 17(3), pages 277-295, December.
    2. Mohammed Abdellaoui & Frank Vossmann & Martin Weber, 2005. "Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty," Management Science, INFORMS, vol. 51(9), pages 1384-1399, September.
    3. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    4. Colin Camerer & Linda Babcock & George Loewenstein & Richard Thaler, 1997. "Labor Supply of New York City Cabdrivers: One Day at a Time," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 407-441.
    5. Bowman, David & Minehart, Deborah & Rabin, Matthew, 1999. "Loss aversion in a consumption-savings model," Journal of Economic Behavior & Organization, Elsevier, vol. 38(2), pages 155-178, February.
    6. Dan J. Laughhunn & John W. Payne & Roy Crum, 1980. "Managerial Risk Preferences for Below-Target Returns," Management Science, INFORMS, vol. 26(12), pages 1238-1249, December.
    7. Camerer, Colin F & Hogarth, Robin M, 1999. "The Effects of Financial Incentives in Experiments: A Review and Capital-Labor-Production Framework," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 7-42, December.
    8. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 73-92.
    9. Chip Heath & Steven Huddart & Mark Lang, 1999. "Psychological Factors and Stock Option Exercise," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 601-627.
    10. Myagkov, Mikhail & Plott, Charles R, 1997. "Exchange Economies and Loss Exposure: Experiments Exploring Prospect Theory and Competitive Equilibria in Market Environments," American Economic Review, American Economic Association, vol. 87(5), pages 801-828, December.
    11. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    12. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    13. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
    14. 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.
    15. 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.
    16. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1990. "Experimental Tests of the Endowment Effect and the Coase Theorem," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1325-1348, December.
    17. Schunk, Daniel & Betsch, Cornelia, 2006. "Explaining heterogeneity in utility functions by individual differences in decision modes," Journal of Economic Psychology, Elsevier, vol. 27(3), pages 386-401, June.
    18. Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
    19. 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.
    20. Booij, Adam S. & van de Kuilen, Gijs, 2009. "A parameter-free analysis of the utility of money for the general population under prospect theory," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 651-666, August.
    21. Atanu Saha, 1993. "Expo-Power Utility: A ‘Flexible’ Form for Absolute and Relative Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(4), pages 905-913.
    22. Han Bleichrodt & Jose Luis Pinto & Peter P. Wakker, 2001. "Making Descriptive Use of Prospect Theory to Improve the Prescriptive Use of Expected Utility," Management Science, INFORMS, vol. 47(11), pages 1498-1514, November.
    23. Ulrich Schmidt & Horst Zank, 2005. "What is Loss Aversion?," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 157-167, January.
    24. 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.
    25. Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
    26. Neilson, William S, 2002. "Comparative Risk Sensitivity with Reference-Dependent Preferences," Journal of Risk and Uncertainty, Springer, vol. 24(2), pages 131-142, March.
    27. Joost M. E. Pennings & Ale Smidts, 2003. "The Shape of Utility Functions and Organizational Behavior," Management Science, INFORMS, vol. 49(9), pages 1251-1263, September.
    28. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    29. Bruce G. S. Hardie & Eric J. Johnson & Peter S. Fader, 1993. "Modeling Loss Aversion and Reference Dependence Effects on Brand Choice," Marketing Science, INFORMS, vol. 12(4), pages 378-394.
    30. Abdellaoui, Mohammed & Barrios, Carolina & Wakker, Peter P., 2007. "Reconciling introspective utility with revealed preference: Experimental arguments based on prospect theory," Journal of Econometrics, Elsevier, vol. 138(1), pages 356-378, May.
    31. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 1-53.
    32. Pavlo Blavatskyy, 2006. "Error Propagation in the Elicitation of Utility and Probability Weighting Functions," Theory and Decision, Springer, vol. 60(2), pages 315-334, May.
    33. Imran S. Currim & Rakesh K. Sarin, 1989. "Prospect Versus Utility," Management Science, INFORMS, vol. 35(1), pages 22-41, January.
    34. John C. Hershey & Paul J. H. Schoemaker, 1985. "Probability Versus Certainty Equivalence Methods in Utility Measurement: Are they Equivalent?," Management Science, INFORMS, vol. 31(10), pages 1213-1231, October.
    35. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    36. Wakker, Peter & Tversky, Amos, 1993. "An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-175, October.
    37. Schmidt, Ulrich & Traub, Stefan, 2002. "An Experimental Test of Loss Aversion," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 233-249, November.
    38. Nathalie Etchart-Vincent, 2004. "Is Probability Weighting Sensitive to the Magnitude of Consequences? An Experimental Investigation on Losses," Journal of Risk and Uncertainty, Springer, vol. 28(3), pages 217-235, May.
    39. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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