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Adverse Selection and Non-Exclusive Contracts

Author Info

Listed author(s):
  • Laurence Ales
  • Pricila Maziero

Abstract

This paper studies the Rothschild and Stiglitz (1976) adverse selection environment, relaxing the assumption of exclusivity of insurance contracts. Agents can engage in multiple insurance contracts simultaneously, and the terms of these contracts are not observed by other firms. Insurance providers behave non-cooperatively and compete offering menus of insurance contracts from an unrestricted contract space. We de- rive conditions under which a separating equilibrium exists and fully characterize it. The unique equilibrium allocation consists of agents with a lower probability of acci- dent purchasing no insurance and agents with higher accident probability buying the actuarially-fair level of insurance. The equilibrium allocation also constitutes a linear price schedule for insurance. To sustain the equilibrium allocation, firms must offer latent contracts. These contracts are necessary to prevent deviations by other firms; in particular they can prevent cream-skimming strategies. As in Rothschild and Stiglitz (1976), pooling equilibrium still fails to exists.

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File URL: http://www.andrew.cmu.edu/user/ales/adverse.pdf
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Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2010-E61.

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Date of creation: Dec 2009
Handle: RePEc:cmu:gsiawp:1485666472
Contact details of provider: Postal:
Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890

Web page: http://www.tepper.cmu.edu/

Order Information: Web: http://student-3k.tepper.cmu.edu/gsiadoc/GSIA_WP.asp

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  1. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
  2. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
  3. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
  4. Andrea Attar & Thomas Mariotti & François Salanié, 2011. "Nonexclusive Competition in the Market for Lemons," Econometrica, Econometric Society, vol. 79(6), pages 1869-1918, November.
  5. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(4), pages 629-649.
  6. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
  7. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  8. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
  9. Attar Andrea & Campioni Eloisa & Piaser Gwenael, 2006. "Multiple Lending and Constrained Efficiency in the Credit Market," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-35, October.
  10. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
  11. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
  12. Mariotti, Thomas & Salanié, François & Attar, Andrea, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
  13. Laurence Ales & Pricila Maziero, "undated". "Non-exclusive Dynamic Contracts, Competition, and the Limits of Insurance," GSIA Working Papers 2010-E59, Carnegie Mellon University, Tepper School of Business.
  14. Pierre Picard, 2014. "Participating Insurance Contracts and the Rothschild-Stiglitz Equilibrium Puzzle," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 153-175, September.
  15. Christine A. Parlour & Uday Rajan, 2001. "Competition in Loan Contracts," American Economic Review, American Economic Association, vol. 91(5), pages 1311-1328, December.
  16. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
  17. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, Oxford University Press, vol. 84(3), pages 488-500.
  18. G. Dionne & N. Doherty & N. Fombaron, 2000. "Adverse Selection in Insurance Markets," THEMA Working Papers 2000-21, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  19. Jaynes, Gerald David, 1978. "Equilibria in monopolistically competitive insurance markets," Journal of Economic Theory, Elsevier, vol. 19(2), pages 394-422, December.
  20. Paulo Monteiro & Frank Page, 2008. "Catalog competition and Nash equilibrium in nonlinear pricing games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 503-524, March.
  21. Inderst, Roman & Wambach, Achim, 2001. "Competitive insurance markets under adverse selection and capacity constraints," European Economic Review, Elsevier, vol. 45(10), pages 1981-1992, December.
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Cited by:

  1. Tobias Broer & Marek Kapicka & Paul Klein, 2017. "Consumption Risk Sharing with Private Information and Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 170-190, January.
  2. Wanda Mimra & Achim Wambach, 2014. "New Developments in the Theory of Adverse Selection in Competitive Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 136-152, September.
  3. Gerald D. Jaynes, 2011. "Equilibrium and Strategic Communication in the Adverse Selection Insurance Model," Levine's Working Paper Archive 786969000000000243, David K. Levine.
  4. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
  5. Eric Stephens & James R. Thompson, 2016. "Information Asymmetry and Risk Transfer Markets," Carleton Economic Papers 16-04, Carleton University, Department of Economics.
  6. Jaynes, Gerald D., 2011. "Equilibrium and Strategic Communication in the Adverse Selection Insurance Model," Working Papers 91, Yale University, Department of Economics.
  7. Philip Bond & Yaron Leitner, 2013. "Market run-ups, market freezes, inventories, and leverage," Working Papers 13-14, Federal Reserve Bank of Philadelphia, revised 04 Feb 2014.
  8. repec:ipg:wpaper:2014-042 is not listed on IDEAS
  9. Philip Bond & Yaron Leitner, 2012. "Market run-ups, market freezes, inventories, and leverage," Working Papers 12-8, Federal Reserve Bank of Philadelphia.
  10. Frédéric Loss & Gwanaël Piaser, 2013. "Linear Prices Equilibria and Nonexclusive Insurance Market," Working Papers hal-00870113, HAL.

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