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More on Properness: The Case of Mean-Variance Preferences

Author

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  • Fatma Lajeri-Chaherli

    (Koç University, Sariyer, 80910 Istanbul, Turkey, e-mail: Flajeri@ku.edu.tr)

Abstract

This paper focuses on the situations where individuals with mean-variance preferences add independent risks to an already risky situation. Pratt and Zeckhauser (Econometrica, 55, 143–154, 1987) define a concept called proper risk aversion in the expected utility framework to describe the situation where an undesirable risk can never be made desirable by the presence of an independent undesirable risk. The assumption of mean-variance preferences allows us to study proper risk aversion in an intuitive manner. The paper presents an economic interpretation for the quasi-concavity of a utility function derived over mean and variance. The main result of the paper says that quasi-concavity plus decreasing risk aversion is equivalent to proper risk aversion. The Geneva Papers on Risk and Insurance Theory (2002) 27, 49–60. doi:10.1023/A:1020681408308

Suggested Citation

  • Fatma Lajeri-Chaherli, 2002. "More on Properness: The Case of Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 27(1), pages 49-60, June.
    • Handle: RePEc:pal:genrir:v:27:y:2002:i:1:p:49-60
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    Citations

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    Cited by:

    1. Uwe Dulleck & Andreas Löffler, 2021. "μ – σ Games," Games, MDPI, vol. 12(1), pages 1-12, January.
    2. Andreas Wagener, 2005. "Linear risk tolerance and mean-variance preferences," Economics Bulletin, AccessEcon, vol. 4(1), pages 1-8.
    3. Bontems, Philippe & Nauges, Céline, 2017. "Production choices with water markets: The role of initial allocations and forward trading," TSE Working Papers 17-812, Toulouse School of Economics (TSE).
    4. Thomas Eichner, 2008. "Mean Variance Vulnerability," Management Science, INFORMS, vol. 54(3), pages 586-593, March.
    5. Fatma Lajeri-Chaherli, 2004. "Proper and Standard Risk Aversion in Two-Moment Decision Models," Theory and Decision, Springer, vol. 57(3), pages 213-225, November.
    6. Christian Gollier & Miles S. Kimball, 2018. "Toward a Systematic Approach to the Economic Effects of Risk: Characterizing Utility Functions," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 85(2), pages 397-430, June.
    7. Lajeri-Chaherli, Fatma, 2004. "Proper prudence, standard prudence and precautionary vulnerability," Economics Letters, Elsevier, vol. 82(1), pages 29-34, January.
    8. Xu Guo & Andreas Wagener & Wing-Keung Wong & Lixing Zhu, 2018. "The two-moment decision model with additive risks," Risk Management, Palgrave Macmillan, vol. 20(1), pages 77-94, February.
    9. Thomas Eichner & Andreas Wagener, 2009. "Multiple Risks and Mean-Variance Preferences," Operations Research, INFORMS, vol. 57(5), pages 1142-1154, October.
    10. Thomas Eichner, 2010. "Slutzky equations and substitution effects of risks in terms of mean-variance preferences," Theory and Decision, Springer, vol. 69(1), pages 17-26, July.
    11. Thomas Eichner & Andreas Wagener, 2004. "Relative risk aversion, relative prudence and comparative statics under uncertainty: The case of (μ, σ)‐preferences," Bulletin of Economic Research, Wiley Blackwell, vol. 56(2), pages 159-170, April.
    12. Philippe Bontems & Celine Nauges, 2019. "Production choices with water markets and risk aversion: the role of initial allocations and forward trading," Post-Print hal-02349932, HAL.
    13. Xu Guo & Raymond H. Chan & Wing-Keung Wong & Lixing Zhu, 2019. "Mean–variance, mean–VaR, and mean–CVaR models for portfolio selection with background risk," Risk Management, Palgrave Macmillan, vol. 21(2), pages 73-98, June.
    14. Eichner, Thomas & Wagener, Andreas, 2012. "Tempering effects of (dependent) background risks: A mean-variance analysis of portfolio selection," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 422-430.
    15. Subhadip Mukherjee & Soumyatanu Mukherjee & Tapas Mishra & Udo Broll & Mamata Parhi, 2021. "Spot exchange rate volatility, uncertain policies and export investment decision of firms: a mean-variance decision approach," The European Journal of Finance, Taylor & Francis Journals, vol. 27(8), pages 752-773, May.
    16. Xu, Guo & Wing-Keung, Wong & Lixing, Zhu, 2013. "Comparisons and Characterizations of the Mean-Variance, Mean-VaR, Mean-CVaR Models for Portfolio Selection With Background Risk," MPRA Paper 51827, University Library of Munich, Germany.
    17. Subhadip Mukherjee & Soumyatanu Mukherjee & Tapas Mishra & Udo Broll, 2019. "Export investment under uncertainty: a mean-variance decision analysis for Indian manufacturing exporters," Discussion Papers 2019-18, University of Nottingham, GEP.
    18. repec:ebl:ecbull:v:4:y:2005:i:1:p:1-8 is not listed on IDEAS
    19. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "An analysis of portfolio selection with multiplicative background risk," MPRA Paper 51331, University Library of Munich, Germany.

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