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Optimal insurance design of ambiguous risks

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  • Gollier, Christian

Abstract

We examine the characteristics of the optimal insurance contract under linear transaction cost and an ambiguous distribution of losses. Under the standard expected utility model, we know from Arrow (1965) that it contains a straight deductible. In this paper, we assume that the policyholder is ambiguity-averse in the sense of Klibanoff, Marinacci and Mukerji (2005). The optimal contract depends upon the structure of the ambiguity. For example, if the set of possible priors can be ranked according to the monotone likelihood ratio order, the optimal contract contains a disappearing deductible. We also show that the policyholder’s ambiguity aversion can reduce the optimal insurance coverage.

Suggested Citation

  • Gollier, Christian, 2012. "Optimal insurance design of ambiguous risks," IDEI Working Papers 718, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jan 2013.
  • Handle: RePEc:ide:wpaper:25812
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    References listed on IDEAS

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    1. repec:spr:joecth:v:64:y:2017:i:1:d:10.1007_s00199-016-0978-z is not listed on IDEAS
    2. repec:gam:jrisks:v:4:y:2016:i:1:p:8:d:66161 is not listed on IDEAS
    3. Luciano I. Castro & Zhiwei Liu & Nicholas C. Yannelis, 2017. "Ambiguous implementation: the partition model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 233-261, January.
    4. Massimiliano Amarante & Mario Ghossoub, 2016. "Optimal Insurance for a Minimal Expected Retention: The Case of an Ambiguity-Seeking Insurer," Risks, MDPI, Open Access Journal, vol. 4(1), pages 1-27, March.
    5. Christophe Courbage & Béatrice Rey, 2015. "On ambiguity apportionment," Working Papers 1527, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    6. Christophe Courbage & Béatrice Rey-Fournier, 2015. "On ambiguity apportionment," Working Papers halshs-01223230, HAL.
    7. Huang, Rachel J. & Huang, Yi-Chieh & Tzeng, Larry Y., 2013. "Insurance bargaining under ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 812-820.
    8. Louis Eeckhoudt & Liqun Liu & Jack Meyer, 2017. "Restricted increases in risk aversion and their application," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 161-181, June.
    9. repec:eee:ejores:v:266:y:2018:i:3:p:1175-1188 is not listed on IDEAS
    10. Mario Ghossoub, 2016. "Optimal Insurance with Heterogeneous Beliefs and Disagreement about Zero-Probability Events," Risks, MDPI, Open Access Journal, vol. 4(3), pages 1-28, August.
    11. Kit Pong Wong, 2015. "A Smooth Ambiguity Model Of The Competitive Firm," Bulletin of Economic Research, Wiley Blackwell, vol. 67(S1), pages 97-110, December.
    12. Christophe Courbage & Beatrice Rey, 2016. "On ambiguity apportionment," Journal of Economics, Springer, vol. 118(3), pages 265-275, July.
    13. Dietz, Simon & Walker, Oliver, 2017. "Ambiguity and insurance: capital requirements andpremiums," LSE Research Online Documents on Economics 68469, London School of Economics and Political Science, LSE Library.
    14. Mingli Zheng & Chong Wang & Chaozheng Li, 2016. "Insurance Contracts with Adverse Selection When the Insurer Has Ambiguity about the Composition of the Consumers," Annals of Economics and Finance, Society for AEF, vol. 17(1), pages 179-206, May.
    15. Marie-Charlotte Guetlein, 2016. "Comparative Risk Aversion in the Presence of Ambiguity," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 51-63, August.

    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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