Pairwise counter-monotonicity

Jean-Gabriel Lauzier, Liyuan Lin and Ruodu Wang

Insurance: Mathematics and Economics, 2023, vol. 111, issue C, 279-287

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.

Keywords: Negative dependence; Mutual exclusivity; Risk sharing; Comotonicity; Joint mixability (search for similar items in EconPapers)
JEL-codes: C10 C71 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:111:y:2023:i:c:p:279-287

DOI: 10.1016/j.insmatheco.2023.05.006

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