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On the Failure of Core Convergence in Economies with Asymmetric Information

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  • Roberto Serrano
  • Rajiv Vohra
  • Oscar Volij

Abstract

In interim economies with asymmetric information, we show that the coarse core of Wilson (1978) does not converge to price equilibrium allocations as the economy is replicated. This failure of core convergence is a basic consequence of asymmetric information and extends to any reasonable notion of either (interim) core or price equilibrium.
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Suggested Citation

  • 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.
  • Handle: RePEc:ecm:emetrp:v:69:y:2001:i:6:p:1685-1696
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    References listed on IDEAS

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    1. Manelli, Alejandro M, 1991. "Monotonic Preferences and Core Equivalence," Econometrica, Econometric Society, vol. 59(1), pages 123-138, January.
    2. Robert M. Anderson & Walter Trockel & Lin Zhou, 1997. "Nonconvergence of the Mas-Colell and Zhou Bargaining Sets," Econometrica, Econometric Society, vol. 65(5), pages 1227-1240, September.
    3. Robert M. Anderson and William R. Zame., 1995. "Edgeworth's Conjecture with Infinitely Many Commodities," Economics Working Papers 95-235, University of California at Berkeley.
    4. 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.
    5. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457 Elsevier.
    6. 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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    Citations

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    Cited by:

    1. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    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. Antonio Miralles & Marek Pycia, 2017. "Large vs. Continuum Assignment Economies: Efficiency and Envy-Freeness," Working Papers 950, Barcelona Graduate School of Economics.
    4. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    5. Roberto Serrano & Oscar Volij, 2008. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
    6. Mikhail Safronov, 2016. "A Coasian Approach to Efficient Mechanism Design," Cambridge Working Papers in Economics 1619, Faculty of Economics, University of Cambridge.
    7. Beth Allen, 2006. "Market games with asymmetric information: the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 465-487, October.
    8. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    9. Claudia Meo, 2009. "Existence of Edgeworth equilibria for economies with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 371-383, February.
    10. Herves-Beloso, Carlos & Meo, Claudia & Moreno Garcia, Emma, 2011. "On core solutions in economies with asymmetric information," MPRA Paper 30258, University Library of Munich, Germany, revised 12 Apr 2011.
    11. Yusuke Kamishiro & Roberto Serrano, 2008. "Information transmission and core convergence in quasilinear economies," Working Papers 2008-01, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    12. Myerson, Roger B., 2007. "Virtual utility and the core for games with incomplete information," Journal of Economic Theory, Elsevier, vol. 136(1), pages 260-285, September.
    13. Sun, Yeneng & Yannelis, Nicholas C., 2007. "Core, equilibria and incentives in large asymmetric information economies," Games and Economic Behavior, Elsevier, vol. 61(1), pages 131-155, October.
    14. 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.
    15. Carlos Hervés-Beloso & Claudia Meo & Emma Moreno-García, 2014. "Information and size of coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 545-563, April.
    16. McLean, Richard & Postlewaite, Andrew, 2005. "Core convergence with asymmetric information," Games and Economic Behavior, Elsevier, vol. 50(1), pages 58-78, January.
    17. Yusuke Kamishiro & Roberto Serrano & Myrna Wooders, 2015. "Information and Small Group Effectiveness in Large Quasilinear Economies," Working Papers 2015-11, Brown University, Department of Economics.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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