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Relative risk aversion, relative prudence and comparative statics under uncertainty: The case of (μ, σ)-preferences

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  • Thomas Eichner
  • Andreas Wagener

Abstract

From the expected-utility approach, relative risk aversion being smaller than one and relative prudence being smaller than two emerge as preference restrictions that fully determine the optimal responses of decisions under uncertainty to certain shifts in probability distributions. We characterize the magnitudes of relative risk aversion and relative prudence in terms of the two-parameter, mean-standard deviation approach. We demonstrate that this characterization is instrumental in obtaining comparative static results in the two-parameter setting. We further relate our findings to the results in the expected-utility framework. Copyright Blackwell Publishers Ltd and the Board of Trustees of the Bulletin of Economic Research, 2004.

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  • 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.
  • Handle: RePEc:bla:buecrs:v:56:y:2004:i:2:p:159-170
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    References listed on IDEAS

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    1. Sinn, Hans-Werner, 1995. " A Theory of the Welfare State," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(4), pages 495-526, December.
    2. 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.
    3. Sinn, Hans-Werner, 1990. "Expected Utility, mu-sigma Preferences, and Linear Distribution Classes: A Further Result," Journal of Risk and Uncertainty, Springer, vol. 3(3), pages 277-281, September.
    4. Moschini, Giancarlo & Hennessy, David A., 2001. "Uncertainty, risk aversion, and risk management for agricultural producers," Handbook of Agricultural Economics,in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 1, chapter 2, pages 88-153 Elsevier.
    5. Thomas Eichner & Andreas Wagener, 2003. "Variance Vulnerability, Background Risks, and Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 28(2), pages 173-184, December.
    6. Ormiston, Michael B. & Schlee, Edward E., 1992. "Necessary conditions for comparative statics under uncertainty," Economics Letters, Elsevier, vol. 40(4), pages 429-434, December.
    7. Ormiston, Michael B & Schlee, Edward E, 2001. "Mean-Variance Preferences and Investor Behaviour," Economic Journal, Royal Economic Society, vol. 111(474), pages 849-861, October.
    8. Lars Tyge Nielsen & Fatma Lajeri, 2000. "Parametric characterizations of risk aversion and prudence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 469-476.
    9. Wagener, Andreas, 2003. "Comparative statics under uncertainty: The case of mean-variance preferences," European Journal of Operational Research, Elsevier, vol. 151(1), pages 224-232, November.
    10. Hawawini, Gabriel, 1978. "A mean-standard deviation exposition of the theory of the firm under uncertainty," MPRA Paper 10148, University Library of Munich, Germany.
    11. Wagener, Andreas, 2002. "Prudence and risk vulnerability in two-moment decision models," Economics Letters, Elsevier, vol. 74(2), pages 229-235, January.
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    Citations

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    Cited by:

    1. Udo Broll & Antonio Roldán-Ponce & Jack Wahl, 2013. "Regional investment under uncertain costs of location," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 51(3), pages 645-657, December.
    2. Andreas Wagener, 2005. "Linear risk tolerance and mean-variance preferences," Economics Bulletin, AccessEcon, vol. 4(1), pages 1-8.
    3. Thomas Eichner & Andreas Wagener, 2005. "Notes and Comments: Measures of risk attitude: correspondences between mean-variance and expected-utility approaches," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 28(1), pages 53-65, June.
    4. Bonilla, Claudio A. & Ruiz, Jose L., 2014. "Insurance demand and first order risk increases under (μ,σ)-preferences," Finance Research Letters, Elsevier, vol. 11(3), pages 219-223.
    5. Broll, Udo & Roldán-Ponce, Antonio & Wahl, Jack E., 2012. "Regional investment under uncertain costs of location," Dresden Discussion Paper Series in Economics 01/12, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    6. Jingyuan Li, 2012. "Precautionary saving in the presence of labor income and interest rate risks," Journal of Economics, Springer, vol. 106(3), pages 251-266, July.
    7. 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.
    8. Guo, Xu & Wagener, Andreas & Wong, Wing-Keung & Zhu, Lixing, 2017. "The Two-Moment Decision Model with Additive Risks," MPRA Paper 77625, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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