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A note on the utility function under prospect theory

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  • al-Nowaihi, Ali
  • Bradley, Ian
  • Dhami, Sanjit

Abstract

We show that preference-homogeneity and loss-aversion are necessary and sufficient for the value function to have the power form with identical powers for gains and losses and for the probability weighting functions for gains and losses to be identical.

Suggested Citation

  • al-Nowaihi, Ali & Bradley, Ian & Dhami, Sanjit, 2008. "A note on the utility function under prospect theory," Economics Letters, Elsevier, vol. 99(2), pages 337-339, May.
    • Handle: RePEc:eee:ecolet:v:99:y:2008:i:2:p:337-339
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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. 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..
    3. Dhami, Sanjit & al-Nowaihi, Ali, 2007. "Why do people pay taxes? Prospect theory versus expected utility theory," Journal of Economic Behavior & Organization, Elsevier, vol. 64(1), pages 171-192, September.
    4. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
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    Cited by:

    1. Carolyn Fischer & William A. Pizer, 2019. "Horizontal Equity Effects in Energy Regulation," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 6(S1), pages 209-237.
    2. Amedeo Piolatto & Matthew D. Rablen, 2017. "Prospect theory and tax evasion: a reconsideration of the Yitzhaki puzzle," Theory and Decision, Springer, vol. 82(4), pages 543-565, April.
    3. Martín Egozcue & Sébastien Massoni & Wing-Keung Wong & RiÄ ardas Zitikis, 2012. "Integration-segregation decisions under general value functions: "Create your own bundle — choose 1, 2, or all 3!"," Documents de travail du Centre d'Economie de la Sorbonne 12057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Kpegli, Yao Thibaut & Corgnet, Brice & Zylbersztejn, Adam, 2023. "All at once! A comprehensive and tractable semi-parametric method to elicit prospect theory components," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    5. Antonio Nicita & Matteo Rizzolli, 2014. "In Dubio Pro Reo. Behavioral Explanations of Pro-defendant Bias in Procedures," CESifo Economic Studies, CESifo, vol. 60(3), pages 554-580.
    6. Schleich, Joachim & Gassmann, Xavier & Meissner, Thomas & Faure, Corinne, 2019. "A large-scale test of the effects of time discounting, risk aversion, loss aversion, and present bias on household adoption of energy-efficient technologies," Energy Economics, Elsevier, vol. 80(C), pages 377-393.
    7. Mengxing Wei & Ali al-Nowaihi & Sanjit Dhami, 2017. "Can quantum decision theory explain the Ellsberg paradox?," Discussion Papers in Economics 17/07, Division of Economics, School of Business, University of Leicester.
    8. Ali al-Nowaihi & Sanjit Dhami, 2013. "Foundations and Properties of Time Discount Functions," Discussion Papers in Economics 13/27, Division of Economics, School of Business, University of Leicester.
    9. Amedeo Piolatto & Matthew D. Rablen, 2017. "Prospect theory and tax evasion: a reconsideration of the Yitzhaki puzzle," Theory and Decision, Springer, vol. 82(4), pages 543-565, April.
    10. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    11. Dhami, Sanjit & al-Nowaihi, Ali, 2013. "An extension of the Becker proposition to non-expected utility theory," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 10-20.
    12. Sanjit Dhami & Narges Hajimoladarvish, 2020. "Mental Accounting, Loss Aversion, and Tax Evasion: Theory and Evidence," CESifo Working Paper Series 8606, CESifo.
    13. Martín Egozcue & Sébastien Massoni & Wing-Keung Wong & Ričardas Zitikis, 2012. "Integration-segregation decisions under general value functions : "Create your own bundle -- choose 1, 2, or all 3 !"," Post-Print halshs-00747008, HAL.
    14. Viviana Ventre & Salvador Cruz Rambaud & Roberta Martino & Fabrizio Maturo, 2023. "An analysis of intertemporal inconsistency through the hyperbolic factor," Quality & Quantity: International Journal of Methodology, Springer, vol. 57(1), pages 819-846, February.
    15. Herzfeld, Thomas & Jongeneel, Roel, 2012. "Why do farmers behave as they do? Understanding compliance with rural, agricultural, and food attribute standards," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 29(1), pages 250-260.
    16. Dawei Liu & Zhigen Hu & Wencheng Guo, 2018. "Multi-Attribute Group-Decision on a Construction Diversion Scheme for Hydropower Projects Based on Perception Utility," Energies, MDPI, vol. 11(11), pages 1-12, November.
    17. Broll, Udo & Egozcue, Martín & Wong, Wing-Keung, 2009. "Prospect theory and two moment model: the firm under price uncertainty," Dresden Discussion Paper Series in Economics 01/09, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    18. Marek Kałuszka & Michał Krzeszowiec, 2013. "Iteracyjność składek ubezpieczeniowych w ujęciu teorii skumulowanej perspektywy i teorii nieokreśloności," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 31, pages 45-56.

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