{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T00:41:10Z","timestamp":1776645670790,"version":"3.51.2"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2022,7,5]],"date-time":"2022-07-05T00:00:00Z","timestamp":1656979200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,7,5]],"date-time":"2022-07-05T00:00:00Z","timestamp":1656979200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s10479-022-04841-x","type":"journal-article","created":{"date-parts":[[2022,7,5]],"date-time":"2022-07-05T04:05:36Z","timestamp":1656993936000},"page":"813-842","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":35,"title":["Peer-to-peer risk sharing with an application to flood risk pooling"],"prefix":"10.1007","volume":"321","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9957-1019","authenticated-orcid":false,"given":"Runhuan","family":"Feng","sequence":"first","affiliation":[]},{"given":"Chongda","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Stephen","family":"Taylor","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,5]]},"reference":[{"key":"4841_CR1","doi-asserted-by":"publisher","first-page":"735","DOI":"10.1016\/j.ejor.2021.09.017","volume":"299","author":"S Abdikerimova","year":"2021","unstructured":"Abdikerimova, S., & Feng, R. (2021). Peer-to-peer multi-risk insurance and mutual aid. European Journal of Operational Research, 299, 735\u2013749.","journal-title":"European Journal of Operational Research"},{"issue":"4","key":"4841_CR2","doi-asserted-by":"publisher","first-page":"1131","DOI":"10.1111\/mafi.12211","volume":"29","author":"V Asimit","year":"2019","unstructured":"Asimit, V., Peng, L., Wang, R., & Yu, A. (2019). An efficient approach to quantile capital allocation and sensitivity analysis. Mathematical Finance, 29(4), 1131\u20131156.","journal-title":"Mathematical Finance"},{"key":"4841_CR3","unstructured":"Beard, R., Pentik\u00e4ini, T., & Pesonen, E. (1984). Risk theory: The stochastic basis of insurance, 3rd edition. Chapman & Hall"},{"key":"4841_CR4","unstructured":"Bollmann, A., & Wang, S. (2019). International catastrophe pooling for extreme weather. Technical report, Society of Actuaries."},{"key":"4841_CR5","doi-asserted-by":"publisher","first-page":"424","DOI":"10.2307\/1909887","volume":"30","author":"K Borch","year":"1962","unstructured":"Borch, K. (1962). Equilibrium in a reinsurance market. Econometrica, 30, 424\u2013444.","journal-title":"Econometrica"},{"key":"4841_CR6","doi-asserted-by":"crossref","unstructured":"Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge University Press.","DOI":"10.1017\/CBO9780511804441"},{"issue":"3","key":"4841_CR7","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1017\/S0515036100005882","volume":"10","author":"H B\u00fchlmann","year":"1979","unstructured":"B\u00fchlmann, H., & Jewell, W. S. (1979). Optimal risk exchanges. ASTIN Bulletin: The Journal of the IAA, 10(3), 243\u2013262.","journal-title":"ASTIN Bulletin: The Journal of the IAA"},{"issue":"1","key":"4841_CR8","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1016\/j.jet.2011.11.011","volume":"147","author":"G Carlier","year":"2012","unstructured":"Carlier, G., Dana, R.-A., & Galichon, A. (2012). Pareto efficiency for the concave order and multivariate comonotonicity. Journal of Economic Theory, 147(1), 207\u2013229.","journal-title":"Journal of Economic Theory"},{"key":"4841_CR9","unstructured":"Charpentier, A., Kouakou, L., L\u00f6we, M., Ratz, P., & Vermet, F. (2022). Collaborative insurance sustainability and network structure. arXiv:2107.02764"},{"key":"4841_CR10","unstructured":"Chen, Z., Feng, R., Wei, L., & Zhao, J. (2022). Cost-effectiveness, fairness and adverse selection in mutual aid. https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=3925904"},{"key":"4841_CR11","doi-asserted-by":"crossref","unstructured":"Denuit, M. (2019). Investing in your own and peers\u2019 risks: The simple analytics of p2p insurance. Technical report. Springer.","DOI":"10.1007\/s13385-020-00238-x"},{"key":"4841_CR12","unstructured":"Denuit, M. (2020). Risk sharing under the dominant p2p insurance business models. ISBA Discussion Paper: Technical report."},{"key":"4841_CR13","first-page":"265","volume":"51","author":"M Denuit","year":"2012","unstructured":"Denuit, M., & Dhaene, J. (2012). Convex order and comonotonic conditional mean risk sharing. Insurance: Mathematics and Economics, 51, 265\u2013270.","journal-title":"Insurance: Mathematics and Economics"},{"key":"4841_CR14","unstructured":"Denuit, M., & Robert, C.\u00a0Y. (2020a). From risk sharing to risk transfer: The analytics of collaborative insurance. Submitted for publication."},{"key":"4841_CR15","doi-asserted-by":"crossref","unstructured":"Denuit, M., & Robert, C. Y. (2020b). Stop-loss protection for a large p2p insurance pool. ISBA Discussion Paper: Technical report.","DOI":"10.1016\/j.insmatheco.2021.05.007"},{"issue":"83","key":"4841_CR16","first-page":"1","volume":"17","author":"S Diamond","year":"2016","unstructured":"Diamond, S., & Boyd, S. (2016). CVXPY: A Python-embedded modeling language for convex optimization. Journal of Machine Learning Research, 17(83), 1\u20135.","journal-title":"Journal of Machine Learning Research"},{"issue":"4","key":"4841_CR17","doi-asserted-by":"publisher","first-page":"936","DOI":"10.1287\/opre.2017.1716","volume":"66","author":"P Embrechts","year":"2018","unstructured":"Embrechts, P., Liu, H., & Wang, R. (2018). Quantile-based risk sharing. Operations Research, 66(4), 936\u2013949.","journal-title":"Operations Research"},{"key":"4841_CR18","unstructured":"FEMA. (2020). National flood insurance program claims dataset. Data retrieved from OpenFEMA website. https:\/\/www.fema.gov\/about\/openfema\/data-sets"},{"key":"4841_CR19","doi-asserted-by":"publisher","unstructured":"Feng, R., Liu, M., & Zhang, N. (2022). A unified theory of decentralized insurance. https:\/\/doi.org\/10.2139\/ssrn.4013729","DOI":"10.2139\/ssrn.4013729"},{"key":"4841_CR20","first-page":"75","volume":"79","author":"E Furman","year":"2018","unstructured":"Furman, E., Kuznetsov, A., & Zitikis, R. (2018). Weighted risk capital allocations in the presence of systematic risk. Insurance: Mathematics and Economics, 79, 75\u201381.","journal-title":"Insurance: Mathematics and Economics"},{"issue":"2","key":"4841_CR21","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1111\/j.1467-9965.2007.00332.x","volume":"18","author":"E Jouini","year":"2008","unstructured":"Jouini, E., Schachermayer, W., & Touzi, N. (2008). Optimal risk sharing for law invariant monetary utility functions. Mathematical Finance: An International Journal of Mathematics, Statistics and Financial Economics, 18(2), 269\u2013292.","journal-title":"Mathematical Finance: An International Journal of Mathematics, Statistics and Financial Economics"},{"key":"4841_CR22","unstructured":"Keel, S., Herzog, F., & Goering, H. (2006). Optimal portfolios with skewed and heavy-tailed distributions. In Proceedings of the third IASTED international conference on financial engineering and applications (pp. 42\u201348)."},{"issue":"4","key":"4841_CR23","first-page":"303","volume":"26","author":"S Kiesel","year":"2009","unstructured":"Kiesel, S., & R\u00fcschendorf, L. (2009). Characterization of optimal risk allocations for convex risk functionals. Statistics & Decisions International Mathematical Journal for Stochastic Methods and Models, 26(4), 303\u2013319.","journal-title":"Statistics & Decisions International Mathematical Journal for Stochastic Methods and Models"},{"key":"4841_CR24","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/s11579-009-0015-0","volume":"2","author":"M Ludkovski","year":"2009","unstructured":"Ludkovski, M., & Young, V. (2009). Optimal risk sharing under distorted probabilities. Mathematics and Financial Economics, 2, 87\u2013105.","journal-title":"Mathematics and Financial Economics"},{"key":"4841_CR25","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.jempfin.2015.03.003","volume":"32","author":"G Mainik","year":"2015","unstructured":"Mainik, G., Mitov, G., & R\u00fcschendorf, L. (2015). Portfolio optimization for heavy-tailed assets: Extreme risk index vs. markowitz. Journal of Empirical Finance, 32, 115\u2013134.","journal-title":"Journal of Empirical Finance"},{"key":"4841_CR26","doi-asserted-by":"crossref","unstructured":"McGuire, T., & Van Kleef, R. (2018). Risk Sharing. Academic Press.","DOI":"10.1016\/B978-0-12-811325-7.00004-X"},{"key":"4841_CR27","unstructured":"Petersen, K., & Pedersen, M. (2012). The matrix cookbook, version 20121115 (p. 3274). Technical University, Denmark, Kongens Lyngby, Denmark, Technical Report."},{"key":"4841_CR28","unstructured":"Platt, J. (1998). Sequential minimal optimization: A fast algorithm for training support vector machines. Technical Report MSR-TR-98-14, Microsoft."},{"key":"4841_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/s41467-020-15264-2","volume":"11","author":"O Wing","year":"2020","unstructured":"Wing, O., Pinter, N., Bastes, P., & Kousky, C. (2020). New insights into us flood vulnerability revealed from flood insurance big data. Nature Communications, 11, 1\u201310.","journal-title":"Nature Communications"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-022-04841-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-022-04841-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-022-04841-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,25]],"date-time":"2023-01-25T19:09:03Z","timestamp":1674673743000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-022-04841-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,5]]},"references-count":29,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["4841"],"URL":"https:\/\/doi.org\/10.1007\/s10479-022-04841-x","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,5]]},"assertion":[{"value":"14 June 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 July 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}