IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2107.02764.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2107.02764
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Leandro De Magalhães & Dongya Koh & Raül Santaeulàlia-Llopis, 2016. "Consumption and Expenditure in Sub-Saharan Africa," Bristol Economics Discussion Papers 16/677, School of Economics, University of Bristol, UK, revised 07 Oct 2016.
    2. Leandro DE MAGALHÃES & Dongya KOH & Räul SANTAEULILA-LLOPIS, 2019. "The Cost of Consumption Smoothing: Less Schooling and less Nutrition," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 85(3), pages 181-208, September.
    3. Pierre Picard, 2012. "Economic Analysis of Insurance Fraud," Working Papers hal-00725561, HAL.
    4. Chiappori, Pierre-André & Reny, Philip J., 2016. "Matching to share risk," Theoretical Economics, Econometric Society, vol. 11(1), January.
    5. Alma Cohen & Peter Siegelman, 2010. "Testing for Adverse Selection in Insurance Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(1), pages 39-84, March.
    6. Lammers, Frauke & Schiller, Jörg, 2010. "Contract design and insurance fraud: An experimental investigation," FZID Discussion Papers 19-2010, University of Hohenheim, Center for Research on Innovation and Services (FZID).
    7. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    8. Steven B. Caudill & Mercedes Ayuso & Montserrat Guillén, 2005. "Fraud Detection Using a Multinomial Logit Model With Missing Information," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(4), pages 539-550, December.
    9. Joshua D. Woodard & Jing Yi, 2020. "Estimation of Insurance Deductible Demand Under Endogenous Premium Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(2), pages 477-500, June.
    10. Kerstin Fiederling & Jörg Schiller & Frauke von Bieberstein, 2018. "Can we Trust Consumers’ Survey Answers when Dealing with Insurance Fraud?," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 70(2), pages 111-147, May.
    11. Jörg Prokop & Dandan Wang, 2022. "Is there a gender gap in equity-based crowdfunding?," Small Business Economics, Springer, vol. 59(3), pages 1219-1244, October.
    12. Diego Garlaschelli & Maria I. Loffredo, 2007. "Effects of network topology on wealth distributions," Papers 0711.4710, arXiv.org, revised Jan 2008.
    13. Costello, Anna M. & Down, Andrea K. & Mehta, Mihir N., 2020. "Machine + man: A field experiment on the role of discretion in augmenting AI-based lending models," Journal of Accounting and Economics, Elsevier, vol. 70(2).
    14. Jens Hagendorff & Sonya Lim & Duc Duy Nguyen, 2023. "Lender Trust and Bank Loan Contracts," Management Science, INFORMS, vol. 69(3), pages 1758-1779, March.
    15. Mark C Long & Eleanor Krause, 2017. "Altruism by age and social proximity," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-24, August.
    16. Bertrand, Jérémie & Burietz, Aurore, 2023. "(Loan) price and (loan officer) prejudice," Journal of Economic Behavior & Organization, Elsevier, vol. 210(C), pages 26-42.
    17. Ya-Chun Gao & Zong-Wen Wei & Bing-Hong Wang, 2013. "Dynamic Evolution Of Financial Network And Its Relation To Economic Crises," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 1-10.
    18. Manconi, Alberto & Braggion, Fabio & Zhu, Haikun, 2018. "Can Technology Undermine Macroprudential Regulation? Evidence from Peer-to-Peer Credit in China," CEPR Discussion Papers 12668, C.E.P.R. Discussion Papers.
    19. Guido Caldarelli & Matthieu Cristelli & Andrea Gabrielli & Luciano Pietronero & Antonio Scala & Andrea Tacchella, 2012. "A Network Analysis of Countries’ Export Flows: Firm Grounds for the Building Blocks of the Economy," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-11, October.
    20. Thomas J. Kniesner & James P. Ziliak, 2002. "Tax Reform and Automatic Stabilization," American Economic Review, American Economic Association, vol. 92(3), pages 590-612, June.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2107.02764. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.