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More on parametric characterizations of risk aversion and prudence

Author

Listed:
  • Thomas Eichner
  • Andreas Wagener

Abstract

This note provides an alternative proof for the equivalence of decreasing absolute prudence (DAP) in the expected utility framework and in a two-parametric approach where utility is a function of the mean and the standard deviation. In addition, we elucidate that the equivalence of DAP and the concavity of utility as a function of mean and variance, which was shown to hold for normally distributed stochastics in Lajeri and Nielsen [4], cannot be generalized. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Thomas Eichner & Andreas Wagener, 2003. "More on parametric characterizations of risk aversion and prudence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 895-900, June.
  • Handle: RePEc:spr:joecth:v:21:y:2003:i:4:p:895-900
    DOI: 10.1007/s00199-001-0247-6
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    Citations

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    Cited by:

    1. Andreas Wagener, 2005. "Linear risk tolerance and mean-variance preferences," Economics Bulletin, AccessEcon, vol. 4(1), pages 1-8.
    2. 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.
    3. Gerry Boyle & Denis Conniffe, 2008. "Compatibility of expected utility and μ/σ approaches to risk for a class of non location–scale distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 343-366, May.
    4. Wing-Keung Wong & Chenghu Ma, 2008. "Preferences over location-scale family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 119-146, October.
    5. Fatma Lajeri-Chaherli, 2016. "On The Concavity And Quasiconcavity Properties Of ( Σ , Μ ) Utility Functions," Bulletin of Economic Research, Wiley Blackwell, vol. 68(3), pages 287-296, April.
    6. James Cox & Vjollca Sadiraj & Bodo Vogt & Utteeyo Dasgupta, 2013. "Is there a plausible theory for decision under risk? A dual calibration critique," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 305-333, October.
    7. 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.
    8. Alain Chateauneuf & Ghizlane Lakhnati & Eric Langlais, 2016. "On the precautionary motive for savings and prudence in the rank-dependent utility framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 169-182, January.
    9. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Two-moment decision model for location-scale family with background asset," MPRA Paper 43864, University Library of Munich, Germany.
    10. repec:wsi:apjorx:v:34:y:2017:i:04:n:s021759591750018x is not listed on IDEAS
    11. 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.
    12. Alghalith, Moawia & Niu, Cuizhen & Wong, Wing-Keung, 2017. "The impacts of joint energy and output prices uncertainties in a mean-variance framework," MPRA Paper 79739, University Library of Munich, Germany.
    13. 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.
    14. Moawia Alghalith & Xu Guo & Cuizhen Niu & Wing-Keung Wong, 2017. "Input Demand Under Joint Energy and Output Prices Uncertainties," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-12, August.

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