Towards a Purely Behavioral Definition of Loss Aversion
AbstractThis paper suggests a behavioral, preference-based definition of loss aversion for decision under risk. This definition is based on the initial intuition of Markowitz  and Kahneman and Tversky  that most individuals dislike symmetric bets, and that the aversion to such bets increases with the size of the stake. A natural interpretation of this intuition leads to defining loss aversion as a particular kind of risk aversion. The notions of weak loss aversion and strong loss aversion are introduced, by analogy to the notions of weak and strong risk aversion. I then show how the proposed definitions naturally extend those of Kahneman and Tversky , Schmidt and Zank , and Zank . The implications of these definitions under Cumulative Prospect Theory (PT) and Expected-Utility Theory (EUT) are examined. In particular, I show that in EUT loss aversion is not equivalent to the utility function having an S shape: loss aversion in EUT holds for a class of utility functions that includes S-shaped functions, but is strictly larger than the collection of these functions. This class also includes utility functions that are of the Friedman-Savage  type over both gains and losses, and utility functions such as the one postulated by Markowitz . Finally, I discuss possible ways in which one can define an index of loss aversion for preferences that satisfy certain conditions. These conditions are satisfied by preferences having a PT-representation or an EUT-representation. Under PT, the proposed index is shown to coincide with Kobberling and Wakker’s  index of loss aversion only when the probability weights for gains and losses are equal. In Appendix B, I consider some extensions of the study done in this paper, one of which is an extension to situations of decision under uncertainty with probabilistically sophisticated preferences, in the sense of Machina and Schmeidler .
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 37628.
Date of creation: 11 Aug 2011
Date of revision: 23 Mar 2012
Loss Aversion; Risk Aversion; Mean-Preserving Increase in Risk; Prospect Theory; Probability Weights; S-Shaped Utility;
Find related papers by JEL classification:
- D03 - Microeconomics - - General - - - Behavioral Microeconomics; Underlying Principles
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-04-03 (All new papers)
- NEP-CBE-2012-04-03 (Cognitive & Behavioural Economics)
- NEP-EVO-2012-04-03 (Evolutionary Economics)
- NEP-MIC-2012-04-03 (Microeconomics)
- NEP-UPT-2012-04-03 (Utility Models & Prospect Theory)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Xue Dong He & Xun Yu Zhou, 2011. "Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment," Management Science, INFORMS, INFORMS, vol. 57(2), pages 315-331, February.
- Botond Koszegi & Matthew Rabin, 2009. "Reference-Dependent Consumption Plans," American Economic Review, American Economic Association, vol. 99(3), pages 909-36, June.
- Frederick Mosteller & Philip Nogee, 1951. "An Experimental Measurement of Utility," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 59, pages 371.
- JosÃ© ApesteguÃa & Miguel A. Ballester, 2004.
"A Theory Of Reference-Dependent Beavior,"
Documentos de Trabajo - Lan Gaiak Departamento de EconomÃa - Universidad PÃºblica de Navarra, Departamento de EconomÃa - Universidad PÃºblica de Navarra
0402, Departamento de EconomÃa - Universidad PÃºblica de Navarra.
- Jose Apesteguia & Miguel A. Ballester, 2007. "A theory of reference-dependent behavior," Economics Working Papers 1056, Department of Economics and Business, Universitat Pompeu Fabra.
- Jose Apesteguia & Miguel A. Ballester, 2007. "A Theory of Reference-Dependent Behavior," Working Papers 323, Barcelona Graduate School of Economics.
- U Schmidt & H Zank, 2002.
"What is Loss Aversion?,"
The School of Economics Discussion Paper Series, Economics, The University of Manchester
0209, Economics, The University of Manchester.
- Koszegi, Botond & Rabin, Matthew, 2004.
"A Model of Reference-Dependent Preferences,"
Department of Economics, Working Paper Series, Department of Economics, Institute for Business and Economic Research, UC Berkeley
qt0w82b6nm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Wakker, Peter & Tversky, Amos, 1993. " An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-75, October.
- Samuelson, William & Zeckhauser, Richard, 1988. " Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
- Ortoleva, Pietro, 2010.
"Status quo bias, multiple priors and uncertainty aversion,"
Games and Economic Behavior,
Elsevier, vol. 69(2), pages 411-424, July.
- Ortoleva, Pietro, 2008. "Status Quo Bias, Multiple Priors and Uncertainty Aversion," MPRA Paper 12243, University Library of Munich, Germany.
- David Bowman & Deborah Minehart & Matthew Rabin, 1994.
"Loss aversion in a consumption/savings model,"
International Finance Discussion Papers, Board of Governors of the Federal Reserve System (U.S.)
492, Board of Governors of the Federal Reserve System (U.S.).
- Pavlo Blavatskyy, 2011. "Loss aversion," Economic Theory, Springer, vol. 46(1), pages 127-148, January.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Knetsch, Jack L & Sinden, J A, 1984. "Willingness to Pay and Compensation Demanded: Experimental Evidence of an Unexpected Disparity in Measures of Value," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 99(3), pages 507-21, August.
- Kahneman, Daniel & Tversky, Amos, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Econometrica, Econometric Society,
Econometric Society, vol. 47(2), pages 263-91, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
- Machina Mark J. & Schmeidler David, 1995.
"Bayes without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice,"
Journal of Economic Theory,
Elsevier, vol. 67(1), pages 106-128, October.
- Mark J. Machina & David Schmeidler, 1994. "Bayes Without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 1088, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Botond Koszegi & Matthew Rabin, 2006.
"Reference-Dependent Risk Attitudes,"
122247000000001267, UCLA Department of Economics.
- Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory And Asset Prices," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 116(1), pages 1-53, February.
- Machina,Mark & Schmeidler,David, 1991.
"A more robust definition of subjective probability,"
Discussion Paper Serie A
365, University of Bonn, Germany.
- Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, Econometric Society, vol. 60(4), pages 745-80, July.
- Mark J. Machina & David Schmeidler, 1990. "A More Robust Definition of Subjective Probability," Discussion Paper Serie A 306, University of Bonn, Germany.
- Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
- R. Mehra & E. Prescott, 2010.
"The equity premium: a puzzle,"
Levine's Working Paper Archive
1401, David K. Levine.
- 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.
- Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
- Benartzi, Shlomo & Thaler, Richard H, 1995.
"Myopic Loss Aversion and the Equity Premium Puzzle,"
The Quarterly Journal of Economics, MIT Press,
MIT Press, vol. 110(1), pages 73-92, February.
- Shlomo Benartzi & Richard H. Thaler, 1993. "Myopic Loss Aversion and the Equity Premium Puzzle," NBER Working Papers 4369, National Bureau of Economic Research, Inc.
- Dana, Rose-Anne & Carlier, Guillaume, 2011. "Optimal Demand for Contingent Claims when Agents have law Invariant Utilities," Economics Papers from University Paris Dauphine 123456789/2317, Paris Dauphine University.
- Neilson, William S, 2002. " Comparative Risk Sensitivity with Reference-Dependent Preferences," Journal of Risk and Uncertainty, Springer, vol. 24(2), pages 131-42, March.
- Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 60, pages 151.
- Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
- Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 56, pages 279.
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