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Another look at risk apportionment

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  • Denuit, Michel
  • Rey, Béatrice

Abstract

This paper presents a general result on the random selection of an element from an ordered sequence of risks and uses this result to derive additive and cross risk apportionment. Preferences favoring an improvement of the sampling distribution in univariate or bivariate first-order stochastic dominance are those exhibiting additive or cross risk apportionment. The univariate additive and multiplicative risk apportionment concepts are then related to the notion of bivariate cross risk apportionment by viewing the single-attribute utility function of an aggregate position (sum or product of attributes) as a 2-attribute utility function. The results derived in the present paper allow one to further explore the connections between the different concepts of risk apportionment proposed so far in the literature.

Suggested Citation

  • Denuit, Michel & Rey, Béatrice, 2013. "Another look at risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 335-343.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:4:p:335-343
    DOI: 10.1016/j.jmateco.2013.04.007
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    References listed on IDEAS

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    1. Denuit, Michel & Rey, Beatrice, 2012. "Uni- And Multidimensional Risk Attitudes: Some Unifying Theorems," LIDAM Discussion Papers ISBA 2012014, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    2. Michel Denuit & Louis Eeckhoudt & Béatrice Rey, 2010. "Some consequences of correlation aversion in decision science," Annals of Operations Research, Springer, vol. 176(1), pages 259-269, April.
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    Citations

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    Cited by:

    1. Christophe Courbage & Beatrice Rey, 2016. "On ambiguity apportionment," Journal of Economics, Springer, vol. 118(3), pages 265-275, July.
    2. Denuit, Michel M., 2018. "Risk apportionment and multiply monotone targets," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 74-77.
    3. Denuit, Michel M. & Mesfioui, Mhamed, 2017. "Preserving the Rothschild–Stiglitz type increase in risk with background risk: A characterization," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 1-5.
    4. Paan Jindapon & Liqun Liu & William S. Neilson, 2021. "Comparative risk apportionment," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 91-112, April.
    5. Loubergé, Henri & Malevergne, Yannick & Rey, Béatrice, 2020. "New Results for additive and multiplicative risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 140-151.
    6. Hongxia Wang, 2019. "Generalized Multiplicative Risk Apportionment," Risks, MDPI, vol. 7(2), pages 1-9, June.
    7. Denuit, Michel, 2016. "Risk Apportionment and Multiply Monotone Targets," LIDAM Discussion Papers ISBA 2016044, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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