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The limitations of comonotonic additive risk measures: a literature review

Samuel Solgon Santos, Marcelo Righi () and Eduardo de Oliveira Horta

Papers from arXiv.org

Abstract: Risk measures satisfying the axiom of comonotonic additivity are extensively studied, arguably because of the plethora of results indicating interesting aspects of such risk measures. Recent research, however, has shown that this axiom is incompatible with central properties in specific contexts. In this paper, we present a literature review of these incompatibilities. In addition, we use the Choquet representation of comonotonic additive risk measures to show they cannot be surplus invariant.

Date: 2022-12, Revised 2024-01
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