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Efficient Nash Equilibrium under Adverse Selection

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  • Theodoros M. Diasakos
  • Kostas Koufopoulos

Abstract

This paper revisits the problem of adverse selection in the insurance market of Rothschild and Stiglitz (1976). We propose a simple extension of the game-theoretic structure in Hellwig (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 (1983).

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Bibliographic Info

Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 215.

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Length: 66 pages
Date of creation: 2011
Date of revision:
Handle: RePEc:cca:wpaper:215

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Keywords: Insurance Market; Adverse Selection; Incentive Efficiency;

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References

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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. 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).
  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. Veronica Guerrieri & Robert Shimer & Randall Wright, 2009. "Adverse Selection in Competitive Search Equilibrium," NBER Working Papers 14915, National Bureau of Economic Research, Inc.
  5. 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.
  6. Pradeep Dubey & John Geanakoplos, 2002. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," The Quarterly Journal of Economics, MIT Press, vol. 117(4), pages 1529-1570, November.
  7. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-39, March.
  8. Pierre Picard, 2009. "Participating insurance contracts and the Rothschild-Stiglitz equilibrium puzzle," Working Papers hal-00413825, HAL.
  9. Alberto Martin, 2007. "On Rothschild–Stiglitz as Competitive Pooling," Economic Theory, Springer, vol. 31(2), pages 371-386, May.
  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. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293.
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Cited by:
  1. Nick Netzer & Florian Scheuer, 2014. "A Game Theoretic Foundation Of Competitive Equilibria With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 399-422, 05.

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