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Linear Prices Equilibria and Nonexclusive Insurance Market

  • Frédéric Loss

    (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X, CNAM Paris - Conservatoire National des Arts et Métiers - Conservatoire National des Arts et Métiers (CNAM))

  • Gwanaël Piaser

    (IPAG - Business School)

We consider a competitive insurance market in which agents can privately enter into multicontractual insurance relationships and undertake hidden actions. We study the existence of linear equilibria when insurance companies do not have any restriction on their pricing rules. We provide conditions under which a linear equilibrium exists. We show that two different types of linear equilibria could exist: A first one in which insurance companies make zero expected profits, and a second one in which they make strictly positive expected profits. We also analyze the welfare properties of the linear equilibria. We show that they are not always second best Pareto optimal.

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Date of creation: 05 Oct 2013
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Handle: RePEc:hal:wpaper:hal-00870113
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  1. Pauly, Mark V, 1974. "Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection," The Quarterly Journal of Economics, MIT Press, vol. 88(1), pages 44-62, February.
  2. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-72, September.
  3. Charles M. Kahn & Dilip Mookherjee, 1996. "Competition and Incentives with Non-Exclusive Contracts," Papers 0075, Boston University - Industry Studies Programme.
  4. Attar, Andrea & Chassagnon, Arnold, 2009. "On moral hazard and nonexclusive contracts," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 511-525, September.
  5. Richard Arnott & Joseph Stiglitz, 1991. "Equilibrium in Competitive Insurance Markets with Moral Hazard," NBER Working Papers 3588, National Bureau of Economic Research, Inc.
  6. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  7. Bisin, Alberto & Guaitoli, Danilo, 1998. "Moral Hazard and Non-Exclusive Contracts," CEPR Discussion Papers 1987, C.E.P.R. Discussion Papers.
  8. Helpman, Elhanan & Laffont, Jean-Jacques, 1975. "On moral hazard in general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 10(1), pages 8-23, February.
  9. Laurence Ales & Pricila Maziero, 2009. "Adverse Selection and Non-Exclusive Contracts," GSIA Working Papers 2010-E61, Carnegie Mellon University, Tepper School of Business.
  10. Richard J. Arnott & Joseph E. Stiglitz, 1988. "The Basic Analytics of Moral Hazard," NBER Working Papers 2484, National Bureau of Economic Research, Inc.
  11. Christine A. Parlour & Uday Rajan, 2001. "Competition in Loan Contracts," American Economic Review, American Economic Association, vol. 91(5), pages 1311-1328, December.
  12. 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.
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