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Competitive insurance market in the presence of ambiguity

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  • Anwar, Sajid
  • Zheng, Mingli

Abstract

Within the context of a competitive insurance market, this paper examines the impact of ambiguity on the behavior of buyers and sellers. Ambiguity is described through a probability measure on an extended state space that includes extra ambiguous states. It is shown that if insurers face the same or less ambiguity than their customers, a unique equilibrium exists where customers are fully insured. On the other hand, if insurers face more ambiguity than their customers, customers will be under insured and it is even possible that customers may not purchase any insurance.

Suggested Citation

  • Anwar, Sajid & Zheng, Mingli, 2012. "Competitive insurance market in the presence of ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 79-84.
    • Handle: RePEc:eee:insuma:v:50:y:2012:i:1:p:79-84
    DOI: 10.1016/j.insmatheco.2011.09.001
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    References listed on IDEAS

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    1. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
    2. Johanna Etner & Sandrine Spaeter, 2010. "The impact of ambiguity on health prevention and insurance," Working Papers of BETA 2010-08, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    3. Rasmusen, Eric, 2010. "Career concerns and ambiguity aversion," Economics Letters, Elsevier, vol. 108(2), pages 175-177, August.
    4. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    5. 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.
    6. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    7. Meglena Jeleva & Bertrand Villeneuve, 2004. "Insurance contracts with imprecise probabilities and adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 777-794, May.
    8. Fredrik Andersson, 1999. "Uncertainty aversion in a simple insurance model," Finnish Economic Papers, Finnish Economic Association, vol. 12(1), pages 16-27, Spring.
    9. Guerdjikova, Ani & Sciubba, Emanuela, 2015. "Survival with ambiguity," Journal of Economic Theory, Elsevier, vol. 155(C), pages 50-94.
    10. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
    11. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    12. 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.
    13. Hogarth, Robin M & Kunreuther, Howard, 1989. "Risk, Ambiguity, and Insurance," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 5-35, April.
    14. John Quiggin, 2007. "Ambiguity and the Value of Information: An Almost-objective Events Analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 409-414, March.
    15. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    16. repec:dau:papers:123456789/5461 is not listed on IDEAS
    17. Takashi Ui, 2010. "The Ambiguity Premium vs. the Risk Premium under Limited Market Participation," Review of Finance, European Finance Association, vol. 15(2), pages 245-275.
    18. Zhu, Wenge, 2011. "Ambiguity aversion and an intertemporal equilibrium model of catastrophe-linked securities pricing," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 38-46, July.
    19. repec:dau:papers:123456789/5358 is not listed on IDEAS
    20. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    21. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    22. Joanna Ho & L. Keller & Pamela Keltyka, 2005. "How Do Information Ambiguity and Timing of Contextual Information Affect Managers’ Goal Congruence in Making Investment Decisions in Good Times vs. Bad Times?," Journal of Risk and Uncertainty, Springer, vol. 31(2), pages 163-186, September.
    23. Curley, Shawn P. & Yates, J. Frank, 1985. "The center and range of the probability interval as factors affecting ambiguity preferences," Organizational Behavior and Human Decision Processes, Elsevier, vol. 36(2), pages 273-287, October.
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    Cited by:

    1. Belles-Sampera, Jaume & Merigó, José M. & Guillén, Montserrat & Santolino, Miguel, 2013. "The connection between distortion risk measures and ordered weighted averaging operators," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 411-420.
    2. Amarante, Massimiliano & Ghossoub, Mario & Phelps, Edmund, 2015. "Ambiguity on the insurer’s side: The demand for insurance," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 61-78.
    3. Zheng, Mingli & Wang, Chong & Li, Chaozheng, 2015. "Optimal nonlinear pricing by a monopolist with information ambiguity," International Journal of Industrial Organization, Elsevier, vol. 40(C), pages 60-66.
    4. Mario Ghossoub, 2016. "Optimal Insurance with Heterogeneous Beliefs and Disagreement about Zero-Probability Events," Risks, MDPI, vol. 4(3), pages 1-28, August.
    5. Ghossoub, Mario, 2019. "Optimal insurance under rank-dependent expected utility," Insurance: Mathematics and Economics, Elsevier, vol. 87(C), pages 51-66.
    6. Arthur E. Attema & Han Bleichrodt & Olivier L'Haridon, 2018. "Ambiguity preferences for health," Health Economics, John Wiley & Sons, Ltd., vol. 27(11), pages 1699-1716, November.
    7. Massimiliano Amarante & Mario Ghossoub, 2016. "Optimal Insurance for a Minimal Expected Retention: The Case of an Ambiguity-Seeking Insurer," Risks, MDPI, vol. 4(1), pages 1-27, March.
    8. 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.
    9. Marek Kałuszka & Michał Krzeszowiec, 2013. "Iteracyjność składek ubezpieczeniowych w ujęciu teorii skumulowanej perspektywy i teorii nieokreśloności," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 31, pages 45-56.

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    More about this item

    Keywords

    Ambiguity; Competitive equilibrium; Insurance market; Risk;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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