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Distortion risk measures, ambiguity aversion and optimal effort

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Author Info

  • Christian Robert

    ()
    (SAF - Laboratoire de Sciences Actuarielle et Financière - Université Claude Bernard - Lyon I : EA2429)

  • Pierre-Emmanuel Thérond

    ()
    (SAF - Laboratoire de Sciences Actuarielle et Financière - Université Claude Bernard - Lyon I : EA2429)

Abstract

We consider the class of concave distortion risk measures to study how choice is influenced by the decision-maker's attitude to risk and provide comparative static results. We also assume ambiguity about the probability distribution of the risk and consider a framework à la Klibanoff, Marinacci and Mukerji (2005) to study the value of information that resolves ambiguity. We show that this value increases with greater ambiguity, with greater ambiguity aversion, and in some cases with greater risk aversion. Finally we examine whether a more risk-averse and a more ambiguity-averse individual will invest in more effort to shift his initial risk distribution to a better target distribution.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00813199.

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Date of creation: 07 Feb 2013
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Handle: RePEc:hal:wpaper:hal-00813199

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00813199
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Related research

Keywords: Ambiguity ; dual theory ; risk measures ; distorsion ; optimal effort;

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  1. Doherty, Neil A & Eeckhoudt, Louis, 1995. "Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 157-79, March.
  2. Arthur Snow, 2011. "Ambiguity aversion and the propensities for self-insurance and self-protection," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 27-43, February.
  3. Arthur Snow, 2010. "Ambiguity and the value of information," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 133-145, April.
  4. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
  5. Ian Jewitt, 1989. "Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk," Management Science, INFORMS, vol. 35(1), pages 60-70, January.
  6. Huang, Rachel J., 2012. "Ambiguity aversion, higher-order risk attitude and optimal effort," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 338-345.
  7. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-38, May.
  8. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  9. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, 04.
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