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Efficient Nash Equilibrium under Adverse Selection

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  • Theodoros M. Diasakos

    ()
    (University of St Andrews)

  • Kostas Koufopoulos

Abstract

This paper revisits the problem of adverse selection in the insurance market of Rothschild and Stiglitz (QJE, 1976). We propose a simple extension of the game-theoretic structure in Hellwig (EER, 1987) under which Nash-type strategic interaction between the informed customers and the uninformed firms results always in a particular separating equilibrium. The equilibrium allocation is unique and Pareto-efficient in the interim sense subject to incentive-compatibility and individual rationality. In fact, it is the unique neutral optimum in the sense of Myerson (ECMA, 1983).

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Bibliographic Info

Paper provided by Department of Economics, University of St. Andrews in its series Discussion Paper Series, Department of Economics with number 201313.

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Handle: RePEc:san:wpecon:1313

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Keywords: Insurance Market; Adverse Selection; Incentive Efficiency;

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  1. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
  2. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-39, March.
  3. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
  4. Pierre Picard, 2009. "Participating insurance contracts and the Rothschild-Stiglitz equilibrium puzzle," Working Papers hal-00413825, HAL.
  5. Robert Shimer & Randall Wright & Veronica Guerrieri, 2009. "Adverse Selection in Competitive Search Equilibrium," 2009 Meeting Papers 139, Society for Economic Dynamics.
  6. Alberto Martin, 2007. "On Rothschild–Stiglitz as Competitive Pooling," Economic Theory, Springer, vol. 31(2), pages 371-386, May.
  7. von Siemens, Ferdinand & Kosfeld, Michael, 2009. "Negative Externalities and Equilibrium Existence in Competitive Markets with Adverse Selection," IZA Discussion Papers 4125, Institute for the Study of Labor (IZA).
  8. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293, November.
  9. Pradeep Dubey & John Geanakoplos, 2002. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," The Quarterly Journal of Economics, MIT Press, vol. 117(4), pages 1529-1570, November.
  10. Pradeep Dubey & John Geanakoplos, 2001. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," Cowles Foundation Discussion Papers 1346R2, Cowles Foundation for Research in Economics, Yale University, revised Feb 2002.
  11. Nick Netzer & Florian Scheuer, 2012. "A Game Theoretic Foundation of Competitive Equilibria with Adverse Selection," NBER Working Papers 18471, National Bureau of Economic Research, Inc.
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