Pareto-optimal peer-to-peer risk sharing with robust distortion risk measures

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<dc:creator>Ghossoub, Mario</dc:creator>
<dc:creator>Zhu, Michael B.</dc:creator>
<dc:creator>Fung Chong, Wing</dc:creator>
<dc:creator>International Actuarial Association</dc:creator>
<dc:date>2025-09-15</dc:date>
<dc:description xml:lang="es">Sumario: They study Pareto optimality in a decentralized peer-to-peer risk-sharing market where agents' preferences are represented by robust distortion risk measures that are not necessarily convex. They obtain a characterization of Pareto-optimal allocations of the aggregate risk in the market, and we show that the shape of the allocations depends primarily on each agent's assessment of the tail of the aggregate risk. They quantify the latter via an index of probabilistic risk aversion, and we illustrate our results using concrete examples of popular families of distortion functions. As an application of our results, we revisit the market for flood risk insurance in the United States. They present the decentralized risk sharing arrangement as an alternative to the current centralized market structure, and we characterize the optimal allocations in a numerical study with historical flood data. They conclude with an in-depth discussion of the advantages and disadvantages of a decentralized insurance scheme in this setting</dc:description>
<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/189418.do</dc:identifier>
<dc:language>eng</dc:language>
<dc:rights xml:lang="es">InC - http://rightsstatements.org/vocab/InC/1.0/</dc:rights>
<dc:subject xml:lang="es">Matemática del seguro</dc:subject>
<dc:subject xml:lang="es">Distribución de riesgos</dc:subject>
<dc:subject xml:lang="es">Peer to peer insurance</dc:subject>
<dc:subject xml:lang="es">Cálculo actuarial</dc:subject>
<dc:subject xml:lang="es">Modelos matemáticos</dc:subject>
<dc:subject xml:lang="es">Casos prácticos</dc:subject>
<dc:subject xml:lang="es">Riesgos meteorológicos</dc:subject>
<dc:subject xml:lang="es">Inundaciones</dc:subject>
<dc:subject xml:lang="es">Estados Unidos</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">Pareto-optimal peer-to-peer risk sharing with robust distortion risk measures</dc:title>
<dc:relation xml:lang="es">En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 15/09/2025 Volume 55 Issue 3 - September 2025 , p. 537 - 563</dc:relation>
<dc:coverage xml:lang="es">Estados Unidos</dc:coverage>
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