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On coalitional stability of anonymous interim mechanisms

Author

Listed:
  • Gabrielle Demange

    (DELTA, 48 Boulevard Jourdan, 75014 Paris 14, FRANCE)

  • Roger Guesnerie

    (DELTA, 48 Boulevard Jourdan, 75014 Paris 14, FRANCE)

Abstract

In a situation where agents have private information, we investigate the stability of mechanisms with respect to coalitional deviations. In the cooperative tradition, we first extend the notion of Core, taking into account the information a coalition may have when it forms and the conjectures of outsiders. This leads us to propose a family of Cores rather than a single one. Secondly, we study the stability of Core mechanisms to secession proposals in simple noncooperative games. The two different stability analyses, normative and strategic, tend to give support to the more natural extension of the Core, called Statistical Core, only in situations where some strong form of increasing returns to coalition is met. Without this property, arguments for a concept of Core that is non empty in a reasonably large class of problems are less compelling. Applications to taxation and insurance are given.

Suggested Citation

  • Gabrielle Demange & Roger Guesnerie, 2001. "On coalitional stability of anonymous interim mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 367-389.
    • Handle: RePEc:spr:joecth:v:18:y:2001:i:2:p:367-389
    Note: Received: September 6, 1999; revised version: December 3, 1999
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    Cited by:

    1. Felix Bierbrauer, 2005. "Optimal Income Taxation and Public Good Provision in a Two-Class Economy," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2005_25, Max Planck Institute for Research on Collective Goods.
    2. Forges, Francoise, 2004. "The ex ante incentive compatible core of the assignment game," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 135-151, March.
    3. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    4. Bierbrauer, Felix, 2006. "Optimal Income Taxation and Public Good Provision in a Two-Class Economy," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 97, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    5. Felix Bierbrauer, 2009. "Optimal Income Taxation and Public Good Provision with Endogenous Interest Groups," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(2), pages 311-342, April.

    More about this item

    Keywords

    Core; Incentive mechanism.;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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