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Pairwise counter-monotonicity

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  • Jean-Gabriel Lauzier
  • Liyuan Lin
  • Ruodu Wang

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

  • Jean-Gabriel Lauzier & Liyuan Lin & Ruodu Wang, 2023. "Pairwise counter-monotonicity," Papers 2302.11701, arXiv.org, revised May 2023.
    • Handle: RePEc:arx:papers:2302.11701
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    Cited by:

    1. Jean-Gabriel Lauzier & Liyuan Lin & Ruodu Wang, 2024. "Negatively dependent optimal risk sharing," Papers 2401.03328, arXiv.org.

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