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Information Transmission and Core Convergence in Quasilinear Economies

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Abstract
We study core convergence in interim quasilinear economies with asymmetric information, concentrating on core notions in which information is transmitted endogenously within coalitions and the incentive constraints are relevant. Specifically, we shall focus on the credible core and randomized mediated core concepts. We consider independent replicas of the basic economy: independent copies of the economy in which each individualís utility only depends on the information of the individuals who belong to the same copy. We provide an example in which core convergence does not obtain for the Dutta-Vohra credible core and for Myersonís randomized mediated core. On the other hand, we establish a positive convergence result for a refinement of Myersonís core for which information disseminates across coalitions within a given random blocking mechanism. Under some conditions, this core converges to the set of incentive compatible ex-post Walrasian allocations.

Suggested Citation

  • Yusuke Kamishiro & Roberto Serrano, 2008. "Information Transmission and Core Convergence in Quasilinear Economies," Working Papers 2008-5, Brown University, Department of Economics.
    • Handle: RePEc:bro:econwp:2008-5
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    References listed on IDEAS

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    1. Roberto Serrano & Rajiv Vohra & Oscar Volij, 2001. "On the Failure of Core Convergence in Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 69(6), pages 1685-1696, November.
    2. de Clippel, Geoffroy, 2007. "The type-agent core for exchange economies with asymmetric information," Journal of Economic Theory, Elsevier, vol. 135(1), pages 144-158, July.
    3. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    4. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "Rational expectations equilibria and the ex-post core of an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 527-535, December.
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    6. Françoise Forges & Aviad Heifetz & Enrico Minelli, 2005. "Incentive compatible core and competitive equilibria in differential information economies," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 185-201, Springer.
    7. Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-1292, November.
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    11. Dutta, Bhaskar & Vohra, Rajiv, 2005. "Incomplete information, credibility and the core," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 148-165, September.
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    13. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    14. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September.
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    More about this item

    Keywords

    Core Convergence; Information Transmission; Coalitional Voting; Mechanisms; Mediation; Rational Expectations Equilibrium;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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