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On the optimality of linear residual risk sharing

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008  260130e20250915bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20260001456‎$a‎Yang, Jiajie
24510‎$a‎On the optimality of linear residual risk sharing‎$c‎Jiajie Yang and Wei Wei
520  ‎$a‎This paper investigates optimal risk-sharing in peer-to-peer insurance. Using total variance minimization as the objective, the authors show that the optimal allocation is linear but must be applied to residual risks rather than to original risks, improving efficiency and robustness relative to classical linear models. The study further incorporates market-motivated constraintssuch as variance reduction and retention consistencyand demonstrates that the residual linear structure remains optimal under these requirements. The resulting strategies promote fairness, participation incentives, and sustainability. Several related optimization problems are unified within this framework, and empirical case studies illustrate the practical advantages of the proposed residual risk-sharing model.
650 4‎$0‎MAPA20080610319‎$a‎Distribución de riesgos
650 4‎$0‎MAPA20240019037‎$a‎Seguros P2P
650 4‎$0‎MAPA20080586294‎$a‎Mercado de seguros
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080592042‎$a‎Modelos matemáticos
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20190012829‎$a‎Equidad actuarial
7001 ‎$0‎MAPA20180014345‎$a‎Wei, Wei
7102 ‎$0‎MAPA20100017661‎$a‎International Actuarial Association
7730 ‎$w‎MAP20077000420‎$g‎15/09/2025 Volume 55 Issue 3 - September 2025 , p. 514 - 536‎$x‎0515-0361‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association