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Linear cumulative prospect theory with applications to portfolio selection and insurance demand

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  • Ulrich Schmidt
  • Horst Zank

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  • Ulrich Schmidt & Horst Zank, 2007. "Linear cumulative prospect theory with applications to portfolio selection and insurance demand," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 30(1), pages 1-18, May.
    • Handle: RePEc:spr:decfin:v:30:y:2007:i:1:p:1-18
    DOI: 10.1007/s10203-007-0066-8
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    1. Ulrich Schmidt & Horst Zank, 2008. "Risk Aversion in Cumulative Prospect Theory," Management Science, INFORMS, vol. 54(1), pages 208-216, January.
    2. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    3. Doherty, Neil A & Eeckhoudt, Louis, 1995. "Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 157-179, March.
    4. 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.
    5. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    6. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    7. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    8. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    9. D. Cass & J. E. Stiglitz, 1972. "Risk Aversion and Wealth Effects on Portfolios with Many Assets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(3), pages 331-354.
    10. Schmidt, Ulrich & Zank, Horst, 2009. "A simple model of cumulative prospect theory," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 308-319, March.
    11. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 1-53.
    12. Schmidt, Ulrich & Zank, Horst, 2001. "A new axiomatization of rank-dependent expected utility with tradeoff consistency for equally likely outcomes," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 483-491, July.
    13. Wakker, Peter & Tversky, Amos, 1993. "An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-175, October.
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    Cited by:

    1. Ulrich Schmidt & Horst Zank, 2008. "Risk Aversion in Cumulative Prospect Theory," Management Science, INFORMS, vol. 54(1), pages 208-216, January.
    2. L'Haridon, Olivier, 2009. "Behavior in the loss domain: An experiment using the probability trade-off consistency condition," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 540-551, August.
    3. Bernasconi, Michele & Corazzini, Luca & Seri, Raffaello, 2014. "Reference dependent preferences, hedonic adaptation and tax evasion: Does the tax burden matter?," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 103-118.
    4. Kairies-Schwarz, Nadja & Kokot, Johanna & Vomhof, Markus & Weßling, Jens, 2017. "Health insurance choice and risk preferences under cumulative prospect theory – an experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 374-397.
    5. Nicolau, Juan L., 2011. "The decision to raise firm value through a sports-business exchange: How much are Real Madrid's goals worth to its president's company's goals?," European Journal of Operational Research, Elsevier, vol. 215(1), pages 281-288, November.
    6. Mao, Tiantian & Stupfler, Gilles & Yang, Fan, 2023. "Asymptotic properties of generalized shortfall risk measures for heavy-tailed risks," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 173-192.
    7. Kaluszka, Marek & Krzeszowiec, Michał, 2012. "Pricing insurance contracts under Cumulative Prospect Theory," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 159-166.
    8. Ranoua Bouchouicha & Ferdinand M. Vieider, 2017. "Accommodating stake effects under prospect theory," Journal of Risk and Uncertainty, Springer, vol. 55(1), pages 1-28, August.
    9. Frimpong, Eugene & Petrolia, Daniel & Harri, Ardian, 2017. "Community-level flood mitigation effects on household-level flood insurance and damage claims payments," Working Papers 254075, Mississippi State University, Department of Agricultural Economics.
    10. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    11. Kunal Rajesh Lahoti & Shivani Hanji & Pratik Kamble & Kavita Vemuri, 2023. "Impact of Loss-Framing and Risk Attitudes on Insurance Purchase: Insights from a Game-like Interface Study," Papers 2310.13300, arXiv.org.
    12. K. Goda & H. P. Hong, 2008. "Implied Preference for Seismic Design Level and Earthquake Insurance," Risk Analysis, John Wiley & Sons, vol. 28(2), pages 523-537, April.
    13. Ferdinand M. Vieider & Peter Martinsson & Pham Khanh Nam & Nghi Truong, 2019. "Risk preferences and development revisited," Theory and Decision, Springer, vol. 86(1), pages 1-21, February.
    14. repec:zbw:rwirep:0537 is not listed on IDEAS
    15. Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
    16. Kairies-Schwarz, Nadja & Kokot, Johanna & Vomhof, Markus & Wessling, Jens, 2014. "How Do Consumers Choose Health Insurance? – An Experiment on Heterogeneity in Attribute Tastes and Risk Preferences," Ruhr Economic Papers 537, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    17. Nadja Kairies-Schwarz & Johanna Kokot & Markus Vomhof & Jens Wessling, 2014. "How Do Consumers Choose Health Insurance? – An Experiment on Heterogeneity in Attribute Tastes and Risk Preferences," Ruhr Economic Papers 0537, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.

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