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Beneficial Changes in Random Variables Under Multiple Sources of Risk and Their Comparative Statics*

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  • Jack Meyer

    (Department of Economics, Michigan State University, East Lansing, MI 48824)

Abstract

The consequences of a change in a random parameter are determined for a decision model with more than one source of randomness. The two cases of independent and stochastically dependent sources of risk are discussed. Four comparative static theorems are given. These state the effect of first degree stochastically dominant shifts or risk decreases for one random variable while the other random variable is held fixed. Deterministic transformations are used to represent random parameter changes. The results are presented in the context of the coinsurance demand model with a risky insurable asset and background risk. The Geneva Papers on Risk and Insurance Theory (1992) 17, 7–19. doi:10.1007/BF00941954

Suggested Citation

  • Jack Meyer, 1992. "Beneficial Changes in Random Variables Under Multiple Sources of Risk and Their Comparative Statics*," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 17(1), pages 7-19, June.
    • Handle: RePEc:pal:genrir:v:17:y:1992:i:1:p:7-19
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    Cited by:

    1. W. Chiu & Louis Eeckhoudt & Beatrice Rey, 2012. "On relative and partial risk attitudes: theory and implications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 151-167, May.
    2. Thomas Eichner & Andreas Wagener, 2009. "Multiple Risks and Mean-Variance Preferences," Operations Research, INFORMS, vol. 57(5), pages 1142-1154, October.
    3. 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.
    4. Luigi Guiso & Tullio Jappelli, 1998. "Background Uncertainty and the Demand for Insurance Against Insurable Risks," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(1), pages 7-27, June.
    5. Eichner, Thomas & Wagener, Andreas, 2014. "Insurance demand and first-order risk increases under (μ,σ)-preferences revisited," Finance Research Letters, Elsevier, vol. 11(4), pages 326-331.
    6. Xu Guo & Andreas Wagener & Wing-Keung Wong & Lixing Zhu, 2018. "The two-moment decision model with additive risks," Risk Management, Palgrave Macmillan, vol. 20(1), pages 77-94, February.
    7. Henri Loubergé, 1998. "Risk and Insurance Economics 25 Years After," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 23(4), pages 540-567, October.

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