Weighted comonotonic risk sharing under heterogeneous beliefs
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<title>Weighted comonotonic risk sharing under heterogeneous beliefs</title>
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<abstract displayLabel="Summary">We study a weighted comonotonic risk-sharing problem among multiple agents with distortion risk measures under heterogeneous beliefs. The explicit forms of optimal allocations are obtained, which are Pareto-optimal. A necessary and sufficient condition is given to ensure the uniqueness of the optimal allocation, and sufficient conditions are given to obtain an optimal allocation of the form of excess of loss or full insurance. The optimal allocation may satisfy individual rationality depending on the choice of the weight. When the distortion risk measure is value at risk or tail value at risk, an optimal allocation is generally of the excess-of-loss form. The numerical examples suggest that a risk is more likely to be shared among agents with heterogeneous beliefs, and the introduction of the weight enables us to prioritize some agents as part of a group sharing a risk.</abstract>
<note type="statement of responsibility">Haiyan Liu</note>
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<topic>Cálculo actuarial</topic>
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<topic>Distribución de riesgos</topic>
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<topic>Modelos actuariales</topic>
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<title>Astin bulletin</title>
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<publisher>Belgium : ASTIN and AFIR Sections of the International Actuarial Association</publisher>
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<identifier type="issn">0515-0361</identifier>
<identifier type="local">MAP20077000420</identifier>
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<text>01/05/2020 Volumen 50 Número 2 - mayo 2020 , p. 647-673</text>
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