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

  • Thomas Eichner
  • Andreas Wagener

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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Article provided by Wiley Blackwell in its journal Bulletin of Economic Research.

Volume (Year): 56 (2004)
Issue (Month): 2 (04)
Pages: 159-170

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Handle: RePEc:bla:buecrs:v:56:y:2004:i:2:p:159-170
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  1. Ormiston, Michael B & Schlee, Edward E, 2001. "Mean-Variance Preferences and Investor Behaviour," Economic Journal, Royal Economic Society, vol. 111(474), pages 849-61, October.
  2. Sinn, Hans-Werner, 1995. " A Theory of the Welfare State," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(4), pages 495-526, December.
  3. 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.
  4. Ormiston, Michael B. & Schlee, Edward E., 1992. "Necessary conditions for comparative statics under uncertainty," Economics Letters, Elsevier, vol. 40(4), pages 429-434, December.
  5. Moschini, GianCarlo & Hennessy, David A., 2001. "Uncertainty, Risk Aversion, and Risk Management for Agricultural Producers," Staff General Research Papers 5323, Iowa State University, Department of Economics.
  6. Thomas Eichner & Andreas Wagener, 2003. "Variance Vulnerability, Background Risks, and Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 28(2), pages 173-184, December.
  7. Lars Tyge Nielsen & Fatma Lajeri, 2000. "Parametric characterizations of risk aversion and prudence," Economic Theory, Springer, vol. 15(2), pages 469-476.
  8. Hawawini, Gabriel, 1978. "A mean-standard deviation exposition of the theory of the firm under uncertainty," MPRA Paper 10148, University Library of Munich, Germany.
  9. Fatma Lajeri-Chaherli, 2002. "More on Properness: The Case of Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 27(1), pages 49-60, June.
  10. Wagener, Andreas, 2002. "Prudence and risk vulnerability in two-moment decision models," Economics Letters, Elsevier, vol. 74(2), pages 229-235, January.
  11. 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 277-81, September.
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