{"id":4393,"date":"2021-01-08T16:22:23","date_gmt":"2021-01-08T16:22:23","guid":{"rendered":"https:\/\/detralytics.com\/?p=4393"},"modified":"2026-06-22T14:49:11","modified_gmt":"2026-06-22T14:49:11","slug":"risk-sharing-under-the-dominant-peer-to-peer-property-and-casualty-insurance-business-models","status":"publish","type":"post","link":"https:\/\/detralytics.com\/en\/publications\/risk-sharing-under-the-dominant-peer-to-peer-property-and-casualty-insurance-business-models\/","title":{"rendered":"Risk sharing under the dominant peer-to-peer property and casualty insurance business models"},"content":{"rendered":"\t\t
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Risk sharing under the dominant peer-to-peer property and casualty insurance business models<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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DetraNote 2021-2<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Abstract<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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This paper purposes to formalize the three business models dominating peer-to-peer (P2P) property and casualty insurance: the self-governing model, the broker model, and the carrier model. The former one develops outside the insurance market whereas the latter ones may originate from the insurance industry, by partnering with an existing company or by issuing a new generation of participating insurance policies where part of the risk is shared within a community and higher losses, exceeding the community’s risk-bearing capacity are covered by an insurance or reinsurance company. The present paper proposes an actuarial modeling based on conditional mean risk sharing, to support the development of this new P2P insurance offer under each of the three business models. In addition, several specific questions are also addressed in the self-governing model. Considering an economic agent who has to select the optimal pool for a risk to be shared with other participants, it is shown that uniform comparison of the Lorenz or concentration curves associated to the respective total losses of the pools under consideration allows the agent to decide which pool is preferable.<\/p>

Keywords: <\/span><\/strong>Risk pooling, conditional mean risk sharing, Lorenz curve, concentration curve, convex order.<\/p><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Sector: <\/b>Insurance<\/p>

<\/b>Expertise: <\/b>Casualty Insurance<\/p>

Authors:<\/b> Michel Denuit and<\/p>

Christian Y. Robert<\/p>

Publication:<\/b> Risk Management and<\/p>

Insurance Review<\/p>

Date:<\/b> January 2024<\/p>

Language:<\/b> English<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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About the authors<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Michel\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Michel Denuit<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Michel is a Scientific Advisor at Detralytics, as well as a professor in actuarial science at the Universit\u00e9 Catholique de Louvain. He has international experience as a visiting professor, and has promoted many projects in collaboration with the industry. At Detralytics, Michel coaches young talents, provides cutting-edge training, fosters innovation and oversees R&D projects.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Christian Y. Robert<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Christian is the Director of ISFA in Lyon (FR) and a professor in Actuarial Science & Statistics. He has experience as the Research Director of the Laboratory of Finance and Actuarial Science at ISFA (Lyon).<\/p>

Christian is an Honorary Member of the Institut des Actuaires (Paris). He has published more than 50 scientific papers.<\/p>

At Detralytics, Christian coaches young talents, provides cutting-edge training, fosters innovation and oversees R&D projects.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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This paper purposes to formalize the three business models dominating peer-to-peer (P2P) property and casualty insurance: the self-governing model, the broker model, and the carrier model.<\/p>\n","protected":false},"author":1,"featured_media":4607,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[137,133],"tags":[131],"class_list":["post-4393","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-137","category-publications","tag-detranote"],"yoast_head":"\nDetra Note : Risk sharing under the dominant peer-to-peer property and casualty insurance business models<\/title>\n<meta name=\"description\" content=\"This paper purposes to formalize the three business models dominating peer-to-peer (P2P) property and casualty insurance.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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