A fixed point approach for computing actuarially fair Pareto optimal risk-sharing rules

Fallou Niakh

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arXiv · 2303.05421

A fixed point approach for computing actuarially fair Pareto optimal risk-sharing rules

Fallou Niakh

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Abstract

Risk-sharing is one way to pool risks without the need for a third party. To ensure the attractiveness of such a system, the rule should be accepted and understood by all participants. A desirable risk-sharing rule should fulfill actuarial fairness and Pareto optimality while being easy to compute. This paper establishes a one-to-one correspondence between an actuarially fair Pareto optimal (AFPO) risk-sharing rule and a fixed point of a specific function. A fast numerical method for computing these risk-sharing rules is also derived. As a result, we are able to compute AFPO risk-sharing rules for a large number of heterogeneous participants in this framework.

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Fallou Niakh. 2023-07-09. A fixed point approach for computing actuarially fair Pareto optimal risk-sharing rules. https://arxiv.org/abs/2303.05421

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