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The coalition-proof core in adverse selection economies

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  • Jeffrey M. Lacker
  • John A. Weinberg

Abstract

We reexamine the core in the adverse selection insurance economy first studied by Rothschild and Stiglitz (1976). Defining blocking in a way that takes private information into account, the core is sometimes empty. We define the coalition-proof core as the set of allocations which are blocked only by allocations which are themselves blocked by coalition- proof allocations. This definition is closely related to Coalition Proof Nash Equilibrium, introduced by Bernheim, Peleg and Whinston (1987). We prove that the coalition-proof core consists of the Miyazaki allocation--the Pareto-optimal allocation most preferred by low-risk agents. The coalition-proof core is always nonempty in this economy and has attractive continuity properties. Cross-subsidization can occur in the coalition-proof core.

Suggested Citation

  • Jeffrey M. Lacker & John A. Weinberg, 1995. "The coalition-proof core in adverse selection economies," Working Paper 94-09, Federal Reserve Bank of Richmond.
    • Handle: RePEc:fip:fedrwp:94-09
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    References listed on IDEAS

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    1. Jeffrey M. Lacker, 1994. "Does adverse selection justify government intervention in loan markets?," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 61-95.
    2. Greenberg, Joseph, 1989. "Deriving strong and coalition-proof nash equilibria from an abstract system," Journal of Economic Theory, Elsevier, vol. 49(1), pages 195-202, October.
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    4. Kahn Charles M. & Mookherjee Dilip, 1995. "Coalition Proof Equilibrium in an Adverse Selection Insurance Economy," Journal of Economic Theory, Elsevier, vol. 66(1), pages 113-138, June.
    5. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
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    7. Asheim, Geir B. & Nilssen, Tore, 1996. "Non-discriminating renegotiation in a competitive insurance market," European Economic Review, Elsevier, vol. 40(9), pages 1717-1736, December.
    8. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    9. Crocker, Keith J. & Snow, Arthur, 1985. "The efficiency of competitive equilibria in insurance markets with asymmetric information," Journal of Public Economics, Elsevier, vol. 26(2), pages 207-219, March.
    10. Hellwig, Martin, 1987. "Some recent developments in the theory of competition in markets with adverse selection ," European Economic Review, Elsevier, vol. 31(1-2), pages 319-325.
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    1. Asheim, Geir B. & Nilssen, Tore, 1996. "Non-discriminating renegotiation in a competitive insurance market," European Economic Review, Elsevier, vol. 40(9), pages 1717-1736, December.

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