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New Results for additive and multiplicative risk apportionment

Author

Listed:
  • Henri Loubergé

    (UNIGE - Université de Genève = University of Geneva)

  • Yannick Malevergne

    (UP1 - Université Paris 1 Panthéon-Sorbonne, PRISM Sorbonne - Pôle de recherche interdisciplinaire en sciences du management - UP1 - Université Paris 1 Panthéon-Sorbonne)

  • 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

We provide new characterizations of the preference for additive and multiplicative risk apportionment when risk ordering relies on stochastic dominance. We then point out a simple property of risk apportionment with additive risks: Quite generally, an observed preference for additive risk apportionment in a specific risk environment is preserved when the decision-maker is confronted to other risk situations, so long as the total order of stochastic dominance relationships among risk couples remains the same. The main objective of this paper is to check whether this simple property also holds for multiplicative risks environments. We explain why this is not the case in general, and then provide a set of conditions under which this property holds. We also show that it holds – and even more strongly – in the case of CRRA utility functions due to a particular feature of this family of utility functions.

Suggested Citation

  • Henri Loubergé & Yannick Malevergne & Béatrice Rey, 2020. "New Results for additive and multiplicative risk apportionment," Post-Print halshs-02930294, HAL.
    • Handle: RePEc:hal:journl:halshs-02930294
    DOI: 10.1016/j.jmateco.2020.07.004
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02930294
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    References listed on IDEAS

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    More about this item

    Keywords

    Additive vs. multiplicative risks; Constant relative risk aversion; Higher order risk aversion; Expected utility; Higher order risk apportionment; Stochastic dominance;
    All these keywords.

    JEL classification:

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

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