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A decision model based on expected utility, entropy and variance

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  • Brito, Irene

Abstract

A decision model - the expected utility, entropy and variance (EU-EV) model – is proposed, where the decision criterion depends on the uncertainty risk factors entropy and variance and on the subjective expected utility. The EU-EV model is applied to decision problems existing in the literature, and it is shown that they can be well explained with this model.

Suggested Citation

  • Brito, Irene, 2020. "A decision model based on expected utility, entropy and variance," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    • Handle: RePEc:eee:apmaco:v:379:y:2020:i:c:s009630032030254x
    DOI: 10.1016/j.amc.2020.125285
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    References listed on IDEAS

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    1. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    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. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    4. Svetlozar Rachev & Sergio Ortobelli & Stoyan Stoyanov & Frank J. Fabozzi & Almira Biglova, 2008. "Desirable Properties Of An Ideal Risk Measure In Portfolio Theory," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 19-54.
    5. Sergio Ortobelli & Svetlozar T. Rachev & Stoyan Stoyanov & Frank J. Fabozzi & Almira Biglova, 2005. "The Proper Use Of Risk Measures In Portfolio Theory," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 8(08), pages 1107-1133.
    6. R. Luce & C. Ng & A. Marley & János Aczél, 2008. "Utility of gambling II: risk, paradoxes, and data," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 165-187, August.
    7. Keller, L. Robin & Sarin, Rakesh K. & Weber, Martin, 1986. "Empirical investigation of some properties of the perceived riskiness of gambles," Organizational Behavior and Human Decision Processes, Elsevier, vol. 38(1), pages 114-130, August.
    8. Simonelli, Maria Rosaria, 2005. "Indeterminacy in portfolio selection," European Journal of Operational Research, Elsevier, vol. 163(1), pages 170-176, May.
    9. Dyer, James S. & Jianmin Jia, 1997. "Relative risk--value models," European Journal of Operational Research, Elsevier, vol. 103(1), pages 170-185, November.
    10. Jianmin Jia & James S. Dyer & John C. Butler, 1999. "Measures of Perceived Risk," Management Science, INFORMS, vol. 45(4), pages 519-532, April.
    11. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    12. R. Luce & C. Ng & A. Marley & János Aczél, 2008. "Utility of gambling I: entropy modified linear weighted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(1), pages 1-33, July.
    13. Yang, Jiping & Qiu, Wanhua, 2005. "A measure of risk and a decision-making model based on expected utility and entropy," European Journal of Operational Research, Elsevier, vol. 164(3), pages 792-799, August.
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