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On the properties of non-monetary measures for risks

Author

Listed:
  • Christophe Courbage

    (Geneva School of Business Administration)

  • Henri Loubergé

    (UNIGE - Université de Genève = University of Geneva)

  • Béatrice Rey

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper investigates how welfare losses for facing risks change as the risk environment of the decision-maker is altered. To that aim, we define the risk apportionment of order n (RAn) utility premium as a measure of pain associated with facing the passage from one risk to a riskier one. Changes in risks are expressed through the concept of stochastic dominance of order n. Three configurations of risk exposures are considered. The paper first shows how the RAn utility premium is modified when initial wealth becomes riskier. Second, the paper provides conditions on individual preferences for superadditivity of the RAn utility premium. Third, the paper investigates welfare changes of merging increases in risks. These results offer new interpretations of the sign of higher derivatives of the utility function.

Suggested Citation

  • Christophe Courbage & Henri Loubergé & Béatrice Rey, 2017. "On the properties of non-monetary measures for risks," Working Papers halshs-01471888, HAL.
    • Handle: RePEc:hal:wpaper:halshs-01471888
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01471888
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    References listed on IDEAS

    as
    1. Eeckhoudt, Louis & Schlesinger, Harris, 2009. "On the utility premium of Friedman and Savage," Economics Letters, Elsevier, vol. 105(1), pages 46-48, October.
    2. Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009. "Apportioning of risks via stochastic dominance," Journal of Economic Theory, Elsevier, vol. 144(3), pages 994-1003, May.
    3. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
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    6. Patrick L. Brockett & Linda L. Golden, 1987. "A Class of Utility Functions Containing all the Common Utility Functions," Management Science, INFORMS, vol. 33(8), pages 955-964, August.
    7. Eeckhoudt, L. & Gollier, C., 1998. "Which Shape for the Cost Curve of Risk?," Papers 98.490, Toulouse - GREMAQ.
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    More about this item

    Keywords

    risk apportionment; superadditivity; RA-n utility premium;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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