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

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LDR  00000cab a2200000 4500
001  MAP20260001906
003  MAP
005  20260202113057.0
008  260202e20250915bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20170005414‎$a‎Ghossoub, Mario
24510‎$a‎Pareto-optimal peer-to-peer risk sharing with robust distortion risk measures‎$c‎Mario Ghossoub, Michael B. Zhu and Wing Fung Chong
520  ‎$a‎They 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
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080610319‎$a‎Distribución de riesgos
650 4‎$0‎MAPA20240019051‎$a‎Peer to peer insurance
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080592042‎$a‎Modelos matemáticos
650 4‎$0‎MAPA20080571566‎$a‎Casos prácticos
650 4‎$0‎MAPA20080608392‎$a‎Riesgos meteorológicos
650 4‎$0‎MAPA20080562922‎$a‎Inundaciones
651 1‎$0‎MAPA20080638337‎$a‎Estados Unidos
7001 ‎$0‎MAPA20260001487‎$a‎Zhu, Michael B.
700  ‎$0‎MAPA20260001326‎$a‎Fung Chong, Wing
7102 ‎$0‎MAPA20100017661‎$a‎International Actuarial Association
7730 ‎$w‎MAP20077000420‎$g‎15/09/2025 Volume 55 Issue 3 - September 2025 , p. 537 - 563‎$x‎0515-0361‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association