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Pairwise counter-monotonicity

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  • Lauzier, Jean-Gabriel
  • Lin, Liyuan
  • Wang, Ruodu

Abstract

We systematically study pairwise counter-monotonicity, an extremal notion of negative dependence. A stochastic representation and an invariance property are established for this dependence structure. We show that pairwise counter-monotonicity implies negative association, and it is equivalent to joint mix dependence if both are possible for the same marginal distributions. We find an intimate connection between pairwise counter-monotonicity and risk sharing problems for quantile agents. This result highlights the importance of this extremal negative dependence structure in optimal allocations for agents who are not risk averse in the classic sense.

Suggested Citation

  • Lauzier, Jean-Gabriel & Lin, Liyuan & Wang, Ruodu, 2023. "Pairwise counter-monotonicity," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 279-287.
    • Handle: RePEc:eee:insuma:v:111:y:2023:i:c:p:279-287
    DOI: 10.1016/j.insmatheco.2023.05.006
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    More about this item

    Keywords

    Negative dependence; Mutual exclusivity; Risk sharing; Comotonicity; Joint mixability;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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