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Equilibrium in Competitive Insurance Markets Under Adverse Selection and Yaari's Dual Theory of Risk

Author

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  • Virginia R. Young

    (School of Business, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA, e-mail: vyoung@bus.wisc.edu)

  • Mark J. Browne

    (School of Business, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA)

Abstract

Under Yaari's dual theory of risk, we determine the equilibrium separating contracts for high and low risks in a competitive insurance market, in which risks are defined only by their expected losses, that is, a high risk is a risk that has a greater expected loss than a low risk. Also, we determine the pooling equilibrium contract when insurers are assumed non-myopic. Expected utility theory generally predicts that optimal insurance indemnity payments are nonlinear functions of the underlying loss due to the nonlinearity of agents' utility functions. Under Yaari's dual theory, we show that under mild technical conditions the indemnity payment is a piecewise linear function of the loss, a common property of insurance coverages. The Geneva Papers on Risk and Insurance Theory (2000) 25, 141–157. doi:10.1023/A:1008762312418

Suggested Citation

  • Virginia R. Young & Mark J. Browne, 2000. "Equilibrium in Competitive Insurance Markets Under Adverse Selection and Yaari's Dual Theory of Risk," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 25(2), pages 141-157, December.
  • Handle: RePEc:pal:genrir:v:25:y:2000:i:2:p:141-157
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    Cited by:

    1. Promislow, S. David & Young, Virginia R., 2002. "Measurement of relative inequity and Yaari's dual theory of risk," Insurance: Mathematics and Economics, Elsevier, vol. 30(1), pages 95-109, February.
    2. Cheung, Ka Chun & Phillip Yam, Sheung Chi & Yuen, Fei Lung & Zhang, Yiying, 2020. "Concave distortion risk minimizing reinsurance design under adverse selection," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 155-165.

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