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Collaborative Insurance Sustainability and Network Structure

Author

Listed:
  • Arthur Charpentier
  • Lariosse Kouakou
  • Matthias Lowe
  • Philipp Ratz
  • Franck Vermet

Abstract

The peer-to-peer (P2P) economy has been growing with the advent of the Internet, with well known brands such as Uber or Airbnb being examples thereof. In the insurance sector the approach is still in its infancy, but some companies have started to explore P2P-based collaborative insurance products (eg. Lemonade in the U.S. or Inspeer in France). The actuarial literature only recently started to consider those risk sharing mechanisms, as in Denuit and Robert (2021) or Feng et al. (2021). In this paper, describe and analyse such a P2P product, with some reciprocal risk sharing contracts. Here, we consider the case where policyholders still have an insurance contract, but the first self-insurance layer, below the deductible, can be shared with friends. We study the impact of the shape of the network (through the distribution of degrees) on the risk reduction. We consider also some optimal setting of the reciprocal commitments, and discuss the introduction of contracts with friends of friends to mitigate some possible drawbacks of having people without enough connections to exchange risks.

Suggested Citation

  • Arthur Charpentier & Lariosse Kouakou & Matthias Lowe & Philipp Ratz & Franck Vermet, 2021. "Collaborative Insurance Sustainability and Network Structure," Papers 2107.02764, arXiv.org, revised Sep 2022.
  • Handle: RePEc:arx:papers:2107.02764
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    References listed on IDEAS

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    1. Olivier Cabrignac & Arthur Charpentier & Ewen Gallic, 2020. "Modeling Joint Lives within Families," AMSE Working Papers 2021, Aix-Marseille School of Economics, France.
    2. Carlier, G. & Dana, R.-A. & Galichon, A., 2012. "Pareto efficiency for the concave order and multivariate comonotonicity," Journal of Economic Theory, Elsevier, vol. 147(1), pages 207-229.
    3. Biener, Christian & Eling, Martin & Landmann, Andreas & Pradhan, Shailee, 2018. "Can group incentives alleviate moral hazard? The role of pro-social preferences," European Economic Review, Elsevier, vol. 101(C), pages 230-249.
    4. Artis, Manuel & Ayuso, Mercedes & Guillen, Montserrat, 1999. "Modelling different types of automobile insurance fraud behaviour in the Spanish market," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 67-81, March.
    5. repec:dau:papers:123456789/9713 is not listed on IDEAS
    6. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    7. Cheng-Shang Chang & David D. Yao, 1993. "Rearrangement, Majorization and Stochastic Scheduling," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 658-684, August.
    8. repec:hal:wpspec:info:hdl:2441/5rkqqmvrn4tl22s9mc0p00hch is not listed on IDEAS
    9. Akın, Ş. Nuray & Leukhina, Oksana, 2015. "Risk-sharing within families: Evidence from the Health and Retirement Study," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 270-284.
    10. Kaas, R. & Dhaene, J. & Vyncke, D. & Goovaerts, M.J. & Denuit, M., 2002. "A Simple Geometric Proof that Comonotonic Risks Have the Convex-Largest Sum," ASTIN Bulletin, Cambridge University Press, vol. 32(1), pages 71-80, May.
    11. repec:hal:spmain:info:hdl:2441/5rkqqmvrn4tl22s9mc0p00hch is not listed on IDEAS
    12. Gee Y. Lee, 2017. "General Insurance Deductible Ratemaking," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(4), pages 620-638, October.
    13. Caldarelli, Guido, 2007. "Scale-Free Networks: Complex Webs in Nature and Technology," OUP Catalogue, Oxford University Press, number 9780199211517.
    14. Hansjörg Albrecher & Antoine Bommier & Damir Filipović & Pablo Koch-Medina & Stéphane Loisel & Hato Schmeiser, 2019. "Insurance: models, digitalization, and data science," Post-Print hal-02471987, HAL.
    15. Hayashi, Fumio & Altonji, Joseph & Kotlikoff, Laurence, 1996. "Risk-Sharing between and within Families," Econometrica, Econometric Society, vol. 64(2), pages 261-294, March.
    16. Arthur Charpentier & Arthur David & Romuald Elie, 2017. "Optimal Claiming Strategies in Bonus Malus Systems and Implied Markov Chains," Risks, MDPI, vol. 5(4), pages 1-17, November.
    17. Meyer, Jack & Ormiston, Michael B, 1999. "Analyzing the Demand for Deductible Insurance," Journal of Risk and Uncertainty, Springer, vol. 18(3), pages 223-230, October.
    18. Cheung, K.C. & Chong, W.F. & Yam, S.C.P., 2015. "Convex ordering for insurance preferences," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 409-416.
    19. Georges Dionne & Robert Gagné, 2001. "Deductible Contracts Against Fraudulent Claims: Evidence From Automobile Insurance," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 290-301, May.
    20. Jefferson Duarte & Stephan Siegel & Lance Young, 2012. "Trust and Credit: The Role of Appearance in Peer-to-peer Lending," The Review of Financial Studies, Society for Financial Studies, vol. 25(8), pages 2455-2484.
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    Cited by:

    1. Runhuan Feng & Chongda Liu & Stephen Taylor, 2023. "Peer-to-peer risk sharing with an application to flood risk pooling," Annals of Operations Research, Springer, vol. 321(1), pages 813-842, February.

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