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- W2002133786 abstract "This short note revisits the classical Theorem of Borch on the characterization of Pareto optimal risk exchange treaties under the expected utility paradigm. Our objective is to approach the optimal risk exchange problem by a new method, which is based on a Breeden–Litzenberger type integral representation formula for increasing convex functions and the theory of comonotonicity. Our method allows us to derive Borch’s characterization without using Kuhn–Tucker theory, and also without the need of assuming that all utility functions are continuously differentiable everywhere. We demonstrate that our approach can be used effectively to solve the Pareto optimal risk-sharing problem with a positivity constraint being imposed on the admissible allocations when the aggregate risk is positive." @default.
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- W2002133786 date "2014-01-01" @default.
- W2002133786 modified "2023-10-16" @default.
- W2002133786 title "Borch’s Theorem from the perspective of comonotonicity" @default.
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- W2002133786 doi "https://doi.org/10.1016/j.insmatheco.2013.11.006" @default.
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