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Fairness of Ratemaking for Catastrophe Insurance: Lessons from Machine Learning

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  • Nan Zhang

    (Warrington College of Business, University of Florida, Gainesville, Florida 32611)

  • Heng Xu

    (Kogod School of Business, American University, Washington, District of Columbia 20016)

Abstract

Catastrophe insurance is an important element of disaster management. Yet the historical presence of inequalities in insurance, from redlining to pricing disparity, has had a devastating impact on minority communities. Whereas the fairness of insurance ratemaking is studied in general, we identify a unique challenge for catastrophe insurance that sets it apart from other lines of insurance. Drawing upon the recent advances in machine learning for fair data valuation, we reveal striking connections between the two seemingly unrelated problems and lean on insights from machine learning to mathematically and empirically study the fairness of ratemaking methods for catastrophe insurance. Our results indicate the potential existence of disparate impact against minorities across existing methods and point to a unique mathematical solution that can satisfy a few commonly assumed properties of fair ratemaking for catastrophe insurance.

Suggested Citation

  • Nan Zhang & Heng Xu, 2024. "Fairness of Ratemaking for Catastrophe Insurance: Lessons from Machine Learning," Information Systems Research, INFORMS, vol. 35(2), pages 469-488, June.
  • Handle: RePEc:inm:orisre:v:35:y:2024:i:2:p:469-488
    DOI: 10.1287/isre.2022.1195
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    as
    1. Xiaohui Zhang & Qianzhou Du & Zhongju Zhang, 2022. "A theory‐driven machine learning system for financial disinformation detection," Production and Operations Management, Production and Operations Management Society, vol. 31(8), pages 3160-3179, August.
    2. Xavier Landes, 2015. "How Fair Is Actuarial Fairness?," Journal of Business Ethics, Springer, vol. 128(3), pages 519-533, May.
    3. Krieger, N., 1992. "Overcoming the absence of socioeconomic data in medical records: Validation and application of a census-based methodology," American Journal of Public Health, American Public Health Association, vol. 82(5), pages 703-710.
    4. Ron Berman, 2018. "Beyond the Last Touch: Attribution in Online Advertising," Marketing Science, INFORMS, vol. 37(5), pages 771-792, September.
    5. Akter, Sonia & Mallick, Bishawjit, 2013. "The poverty–vulnerability–resilience nexus: Evidence from Bangladesh," Ecological Economics, Elsevier, vol. 96(C), pages 114-124.
    6. Mingming Leng & Chunlin Luo & Liping Liang, 2021. "Multiplayer Allocations in the Presence of Diminishing Marginal Contributions: Cooperative Game Analysis and Applications in Management Science," Management Science, INFORMS, vol. 67(5), pages 2891-2903, May.
    7. R Guy Thomas, 2007. "Some Novel Perspectives on Risk Classification," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 32(1), pages 105-132, January.
    8. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    9. Roth, Alvin, 2012. "The Shapley Value as a von Neumann-Morgenstern Utility," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 1-9.
    10. Dmitry Sharapov & Paul Kattuman & Diego Rodriguez & F. Javier Velazquez, 2021. "Using the SHAPLEY value approach to variance decomposition in strategy research: Diversification, internationalization, and corporate group effects on affiliate profitability," Strategic Management Journal, Wiley Blackwell, vol. 42(3), pages 608-623, March.
    11. Yoshio Kamijo & Takumi Kongo, 2010. "Axiomatization of the Shapley value using the balanced cycle contributions property," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 563-571, October.
    12. Nitesh Bharosa & JinKyu Lee & Marijn Janssen, 2010. "Challenges and obstacles in sharing and coordinating information during multi-agency disaster response: Propositions from field exercises," Information Systems Frontiers, Springer, vol. 12(1), pages 49-65, March.
    13. Simon Dietz & Oliver Walker, 2019. "Ambiguity and Insurance: Capital Requirements and Premiums," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 86(1), pages 213-235, March.
    14. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    15. Roth, Ae & Verrecchia, Re, 1979. "Shapley Value As Applied To Cost Allocation - Reinterpretation," Journal of Accounting Research, Wiley Blackwell, vol. 17(1), pages 295-303.
    16. Saim Kashmiri & Cameron Duncan Nicol & Liwu Hsu, 2017. "Birds of a feather: intra-industry spillover of the Target customer data breach and the shielding role of IT, marketing, and CSR," Journal of the Academy of Marketing Science, Springer, vol. 45(2), pages 208-228, March.
    17. Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November.
    18. Erwann O. Michel-Kerjan, 2010. "Catastrophe Economics: The National Flood Insurance Program," Journal of Economic Perspectives, American Economic Association, vol. 24(4), pages 165-186, Fall.
    19. Dong, Weimin & Shah, Haresh & Wong, Felix, 1996. "A Rational Approach to Pricing of Catastrophe Insurance," Journal of Risk and Uncertainty, Springer, vol. 12(2-3), pages 201-218, May.
    20. Sameer Mehta & Milind Dawande & Ganesh Janakiraman & Vijay Mookerjee, 2021. "How to Sell a Data Set? Pricing Policies for Data Monetization," Information Systems Research, INFORMS, vol. 32(4), pages 1281-1297, December.
    21. Martin Shubik, 2002. "Game Theory and Operations Research: Some Musings 50 Years Later," Operations Research, INFORMS, vol. 50(1), pages 192-196, February.
    22. Turo-Kimmo Lehtonen & Jyri Liukko, 2011. "The Forms and Limits of Insurance Solidarity," Journal of Business Ethics, Springer, vol. 103(1), pages 33-44, April.
    23. Heng Xu & Nan Zhang, 2022. "Implications of Data Anonymization on the Statistical Evidence of Disparity," Management Science, INFORMS, vol. 68(4), pages 2600-2618, April.
    24. Arun Rai, 2020. "Explainable AI: from black box to glass box," Journal of the Academy of Marketing Science, Springer, vol. 48(1), pages 137-141, January.
    25. Geneviève Bassellier & Izak Benbasat & Blaize Horner Reich, 2003. "The Influence of Business Managers' IT Competence on Championing IT," Information Systems Research, INFORMS, vol. 14(4), pages 317-336, December.
    26. Michael Barrett & Geoff Walsham, 1999. "Electronic Trading and Work Transformation in the London Insurance Market," Information Systems Research, INFORMS, vol. 10(1), pages 1-22, March.
    27. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    28. Carlo Acerbi & Dirk Tasche, 2002. "Expected Shortfall: A Natural Coherent Alternative to Value at Risk," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 31(2), pages 379-388, July.
    29. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-1349, November.
    30. Ben McQuillin & Robert Sugden, 2016. "Backward Induction Foundations of the Shapley Value," Econometrica, Econometric Society, vol. 84, pages 2265-2280, November.
    31. Nikola Tarashev & Kostas Tsatsaronis & Claudio Borio, 2016. "Risk Attribution Using the Shapley Value: Methodology and Policy Applications," Review of Finance, European Finance Association, vol. 20(3), pages 1189-1213.
    32. Xiaotie Deng & Christos H. Papadimitriou, 1994. "On the Complexity of Cooperative Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 19(2), pages 257-266, May.
    33. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
    34. Sylvestre Frezal & Laurence Barry, 2020. "Fairness in Uncertainty: Some Limits and Misinterpretations of Actuarial Fairness," Journal of Business Ethics, Springer, vol. 167(1), pages 127-136, November.
    35. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
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