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Violations of Cumulative Prospect Theory in Mixed Gambles with Moderate Probabilities

Author

Listed:
  • Guido Baltussen

    (Erasmus School of Economics and Tinbergen Institute, P.O. Box 1738, Burgemeester Oudlaan 50, 3000 DR Rotterdam, The Netherlands)

  • Thierry Post

    (Erasmus School of Economics, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Pim van Vliet

    (Robeco, P.O. Box 973, 3000 DR Rotterdam, The Netherlands)

Abstract

In a classroom choice experiment with mixed gambles and moderate probabilities, we find severe violations of cumulative prospect theory (CPT) and of Markowitz stochastic dominance. Our results shed new light on the exchange between Levy and Levy (2002) and Wakker (2003) in this journal.

Suggested Citation

  • Guido Baltussen & Thierry Post & Pim van Vliet, 2006. "Violations of Cumulative Prospect Theory in Mixed Gambles with Moderate Probabilities," Management Science, INFORMS, vol. 52(8), pages 1288-1290, August.
    • Handle: RePEc:inm:ormnsc:v:52:y:2006:i:8:p:1288-1290
    DOI: 10.1287/mnsc.1050.0544
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    References listed on IDEAS

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    1. 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.
    2. Moshe Levy & Haim Levy, 2013. "Prospect Theory: Much Ado About Nothing?," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 7, pages 129-144, World Scientific Publishing Co. Pte. Ltd..
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    Citations

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    Cited by:

    1. Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009. "Apportioning of risks via stochastic dominance," Journal of Economic Theory, Elsevier, vol. 144(3), pages 994-1003, May.
    2. Rosenblatt-Wisch, Rina, 2008. "Loss aversion in aggregate macroeconomic time series," European Economic Review, Elsevier, vol. 52(7), pages 1140-1159, October.
    3. Hans-Martin von Gaudecker & Arthur van Soest & Erik Wengstrom, 2011. "Heterogeneity in Risky Choice Behavior in a Broad Population," American Economic Review, American Economic Association, vol. 101(2), pages 664-694, April.
    4. Haim Levy, 2008. "First Degree Stochastic Dominance Violations: Decision Weights and Bounded Rationality," Economic Journal, Royal Economic Society, vol. 118(528), pages 759-774, April.
    5. Behnam Malakooti & Mohamed Komaki & Camelia Al-Najjar, 2021. "Basic Geometric Dispersion Theory of Decision Making Under Risk: Asymmetric Risk Relativity, New Predictions of Empirical Behaviors, and Risk Triad," Decision Analysis, INFORMS, vol. 18(1), pages 41-77, March.
    6. Philip Bromiley, 2009. "A Prospect Theory Model of Resource Allocation," Decision Analysis, INFORMS, vol. 6(3), pages 124-138, September.
    7. M. Levy, 2010. "Loss aversion and the price of risk," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 1009-1022.
    8. Doron Sonsino & Mosi Rosenboim & Tal Shavit, 2017. "The valuation “by-tranche” of composite investment instruments," Theory and Decision, Springer, vol. 82(3), pages 353-393, March.
    9. Ranoua Bouchouicha & Lachlan Deer & Ashraf Galal Eid & Peter McGee & Daniel Schoch & Hrvoje Stojic & Jolanda Ygosse-Battisti & Ferdinand M. Vieider, 2019. "Gender effects for loss aversion: Yes, no, maybe?," Journal of Risk and Uncertainty, Springer, vol. 59(2), pages 171-184, October.
    10. Salvatore Greco & Fabio Rindone, 2014. "The bipolar Choquet integral representation," Theory and Decision, Springer, vol. 77(1), pages 1-29, June.
    11. Charles-Cadogan, G., 2018. "Losses loom larger than gains and reference dependent preferences in Bernoulli’s utility function," Journal of Economic Behavior & Organization, Elsevier, vol. 154(C), pages 220-237.
    12. Hans-Martin von Gaudecker & Arthur van Soest & Erik Wengstrom, 2011. "Heterogeneity in Risky Choice Behavior in a Broad Population," American Economic Review, American Economic Association, vol. 101(2), pages 664-694, April.
    13. Cumova, Denisa & Nawrocki, David, 2014. "Portfolio optimization in an upside potential and downside risk framework," Journal of Economics and Business, Elsevier, vol. 71(C), pages 68-89.
    14. Lucy F. Ackert & Richard Deaves & Jennifer Miele & Quang Nguyen, 2020. "Are Time Preference and Risk Preference Associated with Cognitive Intelligence and Emotional Intelligence?," Journal of Behavioral Finance, Taylor & Francis Journals, vol. 21(2), pages 136-156, April.
    15. Francesco Cesarone & Massimiliano Corradini & Lorenzo Lampariello & Jessica Riccioni, 2023. "A new behavioral model for portfolio selection using the Half-Full/Half-Empty approach," Papers 2312.10749, arXiv.org.
    16. Ouzan, Samuel, 2020. "Loss aversion and market crashes," Economic Modelling, Elsevier, vol. 92(C), pages 70-86.
    17. George Wu & Alex B. Markle, 2008. "An Empirical Test of Gain-Loss Separability in Prospect Theory," Management Science, INFORMS, vol. 54(7), pages 1322-1335, July.
    18. Ferdinand Vieider, 2016. "Certainty Preference, Random Choice, and Loss Aversion: A Comment on "Violence and Risk Preference: Experimental Evidence from Afghanistan"," Economics Discussion Papers em-dp2016-06, Department of Economics, University of Reading.
    19. Fang, Yi, 2012. "Aggregate investor preferences and beliefs in stock market: A stochastic dominance analysis," Journal of Empirical Finance, Elsevier, vol. 19(4), pages 528-547.

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