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Demand for insurance with nonadditive probabilistic beliefs

Author

Listed:
  • Jianli Wang
  • Yingrong Su
  • Jingyuan Li
  • Ho Yin Yick

Abstract

This work examines optimal demand for insurance coverage when the insured has nonadditive subjective probability beliefs about loss uncertainty. By showing the equivalent conditions of Jensen's inequality under the Choquet expected utility framework, we not only provide the threshold on the insurance premium for Mossin's theorem to hold but also explore the joint effect of both risk aversion and uncertainty aversion on optimal insurance demand.

Suggested Citation

  • Jianli Wang & Yingrong Su & Jingyuan Li & Ho Yin Yick, 2022. "Demand for insurance with nonadditive probabilistic beliefs," Bulletin of Economic Research, Wiley Blackwell, vol. 74(3), pages 854-862, July.
  • Handle: RePEc:bla:buecrs:v:74:y:2022:i:3:p:854-862
    DOI: 10.1111/boer.12322
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    References listed on IDEAS

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    1. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    2. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    3. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Hogarth, Robin M & Kunreuther, Howard, 1989. "Risk, Ambiguity, and Insurance," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 5-35, April.
    5. Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-1272, November.
    6. Mario Ghossoub, 2017. "Arrow's Theorem of the Deductible with Heterogeneous Beliefs," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(1), pages 15-35, January.
    7. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    8. Christian Gollier, 2014. "Optimal insurance design of ambiguous risks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 555-576, November.
    9. Justin Sydnor, 2010. "(Over)insuring Modest Risks," American Economic Journal: Applied Economics, American Economic Association, vol. 2(4), pages 177-199, October.
    10. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    11. Soon Koo Hong & Keun Ock Lew & Richard MacMinn & Patrick Brockett, 2011. "Mossin's Theorem Given Random Initial Wealth," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(2), pages 309-324, June.
    12. Shapira, Zur & Venezia, Itzhak, 2008. "On the preference for full-coverage policies: Why do people buy too much insurance?," Journal of Economic Psychology, Elsevier, vol. 29(5), pages 747-761, November.
    13. Kunreuther, Howard & Meszaros, Jacqueline & Hogarth, Robin M. & Spranca, Mark, 1995. "Ambiguity and underwriter decision processes," Journal of Economic Behavior & Organization, Elsevier, vol. 26(3), pages 337-352, May.
    14. Laure Cabantous, 2007. "Ambiguity Aversion in the Field of Insurance: Insurers’ Attitude to Imprecise and Conflicting Probability Estimates," Theory and Decision, Springer, vol. 62(3), pages 219-240, May.
    15. Andreas Richter & Jörg Schiller & Harris Schlesinger, 2014. "Behavioral insurance: Theory and experiments," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 85-96, April.
    16. Doherty, Neil A & Eeckhoudt, Louis, 1995. "Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 157-179, March.
    17. Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-250, July-Aug..
    18. Peter, Richard & Ying, Jie, 2020. "Do you trust your insurer? Ambiguity about contract nonperformance and optimal insurance demand," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 938-954.
    19. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    20. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    21. 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.
    22. Kozhan, Roman & Schmid, Wolfgang, 2009. "Asset allocation with distorted beliefs and transaction costs," European Journal of Operational Research, Elsevier, vol. 194(1), pages 236-249, April.
    23. Doherty, Neil A & Schlesinger, Harris, 1983. "The Optimal Deductible for an Insurance Policy When Initial Wealth Is Random," The Journal of Business, University of Chicago Press, vol. 56(4), pages 555-565, October.
    24. David Alary & Christian Gollier & Nicolas Treich, 2013. "The Effect of Ambiguity Aversion on Insurance and Self‐protection," Economic Journal, Royal Economic Society, vol. 123(12), pages 1188-1202, December.
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