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Worst-case reinsurance strategy with likelihood ratio uncertainty

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100  ‎$0‎MAPA20080650049‎$a‎Landriault, David
24510‎$a‎Worst-case reinsurance strategy with likelihood ratio uncertainty‎$c‎David Landriault, Fangda Liu and Ziyue Shi
520  ‎$a‎This paper studies a non-cooperative optimal reinsurance problem under likelihood-ratio model uncertainty, focusing on minimizing the insurer's worst-case retained loss. It establishes a general link between the optimal reinsurance strategy under a reference probability measure and its counterpart in the worst-case scenario, a result that extends to insurance design problems using tail risk measures. The paper also identifies distortion risk measures for which the optimal strategy remains unchanged under worst-case conditions. As an application, optimal reinsurance policies are derived using an expectile risk measure. In addition, a cooperative framework is examined, interpreting reinsurance as a risk-sharing problem in a comonotonic setting, and comparing optimal strategies and risk values between the cooperative and non-cooperative models
650 4‎$0‎MAPA20080600501‎$a‎Contrato de reaseguro
650 4‎$0‎MAPA20090025479‎$a‎Distribución de pérdidas
650 4‎$0‎MAPA20080602529‎$a‎Mercado de reaseguros
650 4‎$0‎MAPA20080565992‎$a‎Incertidumbre
650 4‎$0‎MAPA20250003316‎$a‎Gestión de riesgos
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080592042‎$a‎Modelos matemáticos
650 4‎$0‎MAPA20090033023‎$a‎Estadística matemática
650 4‎$0‎MAPA20080610319‎$a‎Distribución de riesgos
7001 ‎$0‎MAPA20160014297‎$a‎Liu, Fangda
7001 ‎$0‎MAPA20260001555‎$a‎Shi, Ziyue
7102 ‎$0‎MAPA20100017661‎$a‎International Actuarial Association
7730 ‎$w‎MAP20077000420‎$g‎15/09/2025 Volume 55 Issue 3 - September 2025 , p. 492- 513‎$x‎0515-0361‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association