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Separating curvature and elevation: A parametric probability weighting function

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  • Mohammed Abdellaoui
  • Olivier L’Haridon
  • Horst Zank

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File URL: http://hdl.handle.net/10.1007/s11166-010-9097-6
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Bibliographic Info

Article provided by Springer in its journal Journal of Risk and Uncertainty.

Volume (Year): 41 (2010)
Issue (Month): 1 (August)
Pages: 39-65

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Handle: RePEc:kap:jrisku:v:41:y:2010:i:1:p:39-65

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Web page: http://www.springerlink.com/link.asp?id=100299

Related research

Keywords: Curvature; Elevation; Optimism; Pessimism; Preference foundation; Prospect theory; D81;

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References

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  1. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  2. Quiggin, John & Horowitz, John, 1995. "Time and Risk," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 37-55, January.
  3. Schmidt, Ulrich & Horst Zank, 2002. "Risk Aversion in Cumulative Prospect Theory," Royal Economic Society Annual Conference 2002 162, Royal Economic Society.
  4. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  5. W. Viscusi & William Evans, 2006. "Behavioral Probabilities," Journal of Risk and Uncertainty, Springer, vol. 32(1), pages 5-15, January.
  6. Ulrich Schmidt & Horst Zank, 2005. "What is Loss Aversion?," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 157-167, January.
  7. Abdellaoui, Mohammed & Vossman, Frank & Weber, Martin, 2003. "Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty," CEPR Discussion Papers 3756, C.E.P.R. Discussion Papers.
  8. 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.
  9. Nathalie Etchart-Vincent & Olivier L'Haridon, 2011. "Monetary incentives in the loss domain and behavior toward risk: An experimental comparison of three reward schemes including real losses," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00742027, HAL.
  10. Enrico Diecidue & Ulrich Schmidt & Horst Zank, 2006. "Parametric Weighting Functions," The School of Economics Discussion Paper Series 0622, Economics, The University of Manchester.
  11. Chateauneuf, Alain & Eichberger, Jürgen & Grant, Simon, 2003. "Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities," Sonderforschungsbereich 504 Publications 03-10, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  12. Fox, Craig R & Tversky, Amos, 1995. "Ambiguity Aversion and Comparative Ignorance," The Quarterly Journal of Economics, MIT Press, vol. 110(3), pages 585-603, August.
  13. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  14. 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.
  15. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
  16. Wakker, Peter & Erev, Ido & Weber, Elke U, 1994. "Comonotonic Independence: The Critical Test between Classical and Rank-Dependent Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 9(3), pages 195-230, December.
  17. W. Kip Viscusi & Wesley A. Magat & Joel Huber, 1987. "An Investigation of the Rationality of Consumer Valuations of Multiple Health Risks," RAND Journal of Economics, The RAND Corporation, vol. 18(4), pages 465-479, Winter.
  18. Horst Zank, 2010. "On probabilities and loss aversion," Theory and Decision, Springer, vol. 68(3), pages 243-261, March.
  19. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-33, March.
  20. Craig R. Fox & Amos Tversky, 1998. "A Belief-Based Account of Decision Under Uncertainty," Management Science, INFORMS, vol. 44(7), pages 879-895, July.
  21. 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.
  22. Wakker, Peter P, 2001. "Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle," Econometrica, Econometric Society, vol. 69(4), pages 1039-59, July.
  23. Wakker, Peter, 1993. "Additive representations on rank-ordered sets : II. The topological approach," Journal of Mathematical Economics, Elsevier, vol. 22(1), pages 1-26.
  24. 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.
  25. Mohammed Abdellaoui & Han Bleichrodt & Olivier L’Haridon, 2008. "A tractable method to measure utility and loss aversion under prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 245-266, June.
  26. Michael Kilka & Martin Weber, 2001. "What Determines the Shape of the Probability Weighting Function Under Uncertainty?," Management Science, INFORMS, vol. 47(12), pages 1712-1726, December.
  27. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
  28. Luce, R. Duncan, 1991. "Rank- and sign-dependent linear utility models for binary gambles," Journal of Economic Theory, Elsevier, vol. 53(1), pages 75-100, February.
  29. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  30. Starmer, Chris & Sugden, Robert, 1989. " Probability and Juxtaposition Effects: An Experimental Investigation of the Common Ratio Effect," Journal of Risk and Uncertainty, Springer, vol. 2(2), pages 159-78, June.
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Citations

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Cited by:
  1. Peter Brooks & Simon Peters & Horst Zank, 2014. "Risk behavior for gain, loss, and mixed prospects," Theory and Decision, Springer, vol. 77(2), pages 153-182, August.
  2. Ulrich Schmidt & Horst Zank, 2011. "A Genuine Foundation for Prospect Theory," The School of Economics Discussion Paper Series 1114, Economics, The University of Manchester.
  3. Nathalie Etchart-Vincent & Olivier l’Haridon, 2011. "Monetary incentives in the loss domain and behavior toward risk: An experimental comparison of three reward schemes including real losses," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 61-83, February.
  4. Webb, Craig S. & Zank, Horst, 2011. "Accounting for optimism and pessimism in expected utility," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 706-717.
  5. Vieider, Ferdinand M., 2012. "Moderate stake variations for risk and uncertainty, gains and losses: Methodological implications for comparative studies," Economics Letters, Elsevier, vol. 117(3), pages 718-721.
  6. Pahlke, Julius & Strasser, Sebastian & Vieider, Ferdinand M., 2012. "Responsibility effects in decision making under risk," Discussion Papers, WZB Junior Research Group Risk and Development SP II 2012-402, Social Science Research Center Berlin (WZB).
  7. Vieider, Ferdinand M. & Chmura, Thorsten & Martinsson, Peter, 2012. "Risk attitudes, development, and growth: Macroeconomic evidence from experiments in 30 countries," Discussion Papers, WZB Junior Research Group Risk and Development SP II 2012-401, Social Science Research Center Berlin (WZB).
  8. Aurélien Baillon & Han Bleichrodt & Umut Keskin & Olivier L'Haridon & Author-Name: Chen Li, 2013. "Learning under ambiguity: An experiment using initial public offerings on a stock market," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201331, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.

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