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Competitive Insurance Markets with Two Unobservables

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Author Info
Michael Smart

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Abstract

We study a screening game in a competitive insurance market, in which insurance customers differ with respect to both accident probability and degree of risk aversion. It is shown that indifference curves of customers in different risk classes cross exactly twice: thus the single crossing property does not hold. The existence of a unique reactive equilibrium is demonstrated. This equilibrium may be markedly different from the Pareto-dominant separating equilibrium that exists when single crossing holds. In particular, types may be pooled in equilibrium, so that cross-subsidization occurs. Moreover, insurance firms can earn positive expected profit in equilibrium, despite the usual assumption of Bertrand-like price-competition among firms. We study the implications of the model for the efficiency of market equilibrium and for the effects of rate-of-return regulation of insurance firms.

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Publisher Info
Paper provided by University of Toronto, Department of Economics in its series Working Papers with number msmart-96-01.

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Length: 22 pages
Date of creation: 12 Mar 1996
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Handle: RePEc:tor:tecipa:msmart-96-01

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D8 - Microeconomics - - Information, Knowledge, and Uncertainty

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November. [Downloadable!] (restricted)
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  2. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December. [Downloadable!] (restricted)
  3. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn. [Downloadable!] (restricted)
  4. Laffont, Jean-Jacques & Rochet, Jean-Charles, 1988. " Stock Market Portfolios and the Segmentation of the Insurance Market," Scandinavian Journal of Economics, Blackwell Publishing, vol. 90(3), pages 435-46.
  5. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  6. Cho, In-Koo & Kreps, David M, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 179-221, May. [Downloadable!] (restricted)
  7. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-59, March. [Downloadable!] (restricted)
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  8. Maskin, Eric & Tirole, Jean, 1992. "The Principal-Agent Relationship with an Informed Principal, II: Common Values," Econometrica, Econometric Society, vol. 60(1), pages 1-42, January. [Downloadable!] (restricted)
  9. Engers, Maxim, 1987. "Signalling with Many Signals," Econometrica, Econometric Society, vol. 55(3), pages 663-74, May. [Downloadable!] (restricted)
  10. Landsberger Michael & Meilijson Isaac, 1994. "Monopoly Insurance under Adverse Selection When Agents Differ in Risk Aversion," Journal of Economic Theory, Elsevier, vol. 63(2), pages 392-407, August. [Downloadable!] (restricted)
  11. Quinzii, Martine & Rochet, Jean-Charles, 1985. "Multidimensional signalling," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 261-284, June. [Downloadable!] (restricted)
  12. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-39, March. [Downloadable!] (restricted)
  13. Bagwell, Laurie Simon & Bernheim, B Douglas, 1996. "Veblen Effects in a Theory of Conspicuous Consumption," American Economic Review, American Economic Association, vol. 86(3), pages 349-73, June. [Downloadable!] (restricted)
  14. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Bertrand Villeneuve, 2003. "Concurrence et antisélection multidimensionnelle en assurance," Annales d'Economie et de Statistique, ADRES, issue 69, pages 06, Janvier-M. [Downloadable!]
  2. Ray Rees & Patricia Apps, 2006. "Genetic testing, income distribution and insurance markets, CHERE Working Paper 2006/3," Working Papers 2006/3, CHERE, University of Technology, Sydney. [Downloadable!]
  3. Alma Cohen & Liran Einav, 2005. "Estimating Risk Preferences from Deductible Choice," NBER Working Papers 11461, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer, vol. 30(1), pages 151-169, January. [Downloadable!] (restricted)
  5. Patricia Apps & Ray Rees, 2006. "Genetic testing, income distribution and insurance Markets," Annales d'Economie et de Statistique, ADRES, issue 83-84, pages 14, Juillet-D. [Downloadable!]
  6. Amy Finkelstein & James Poterba, 2000. "Adverse Selection in Insurance Markets: Policyholder Evidence from the U.K. Annuity Market," NBER Working Papers 8045, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. Liran Einav & Amy Finkelstein & Paul Schrimpf, 2007. "The Welfare Cost of Asymmetric Information: Evidence from the U.K. Annuity Market," NBER Working Papers 13228, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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