Abstract:This paper studies decentralized risk-sharing on networks. In particular, we consider a model where agents are nodes in a given network structure. Agents directly connected by edges in the network are referred to as friends. We study actuarially fair risk-sharing under the assumption that only friends can share risk, and we characterize the optimal signed linear risk-sharing rule in this network setting. Subsequently, we consider a special case of this model where all the friends of an agent take on an equal share of the agent's risk, and establish a connection to the graph Laplacian. Our results are illustrated with several examples.
From: Nicholas Marshall [view email]
[v1]
Thu, 5 Feb 2026 00:16:46 UTC (32 KB)
[v2]
Wed, 11 Mar 2026 20:49:08 UTC (32 KB)
[v3]
Sat, 11 Jul 2026 04:48:35 UTC (33 KB)
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