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Risk Sharing with Deep Neural Networks

Matteo Burzoni, Alessandro Doldi and Enea Monzio Compagnoni

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Abstract: We consider the problem of optimally sharing a financial position among agents with potentially different reference risk measures. The problem is equivalent to computing the infimal convolution of the risk metrics and finding the so-called optimal allocations. We propose a neural network-based framework to solve the problem and we prove the convergence of the approximated inf-convolution, as well as the approximated optimal allocations, to the corresponding theoretical values. We support our findings with several numerical experiments.

Date: 2022-12, Revised 2023-06
New Economics Papers: this item is included in nep-big, nep-cmp, nep-net and nep-rmg
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