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Infinite dimensional mixed economies with asymmetric information

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  • Bhowmik, Anuj
  • Cao, Jiling

Abstract

In this paper, we study asymmetric information economies consisting of both non-negligible and negligible agents and having ordered Banach spaces as their commodity spaces. In answering a question of Herves-Beloso and Moreno-Garcia in [17], we establish a characterization of Walrasian expectations allocations by the veto power of the grand coalition. It is also shown that when an economy contains only negligible agents a Vind's type theorem on the private core with the exact feasibility can be restored. This solves a problem of Pesce in [20].

Suggested Citation

  • Bhowmik, Anuj & Cao, Jiling, 2011. "Infinite dimensional mixed economies with asymmetric information," MPRA Paper 35618, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:35618
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    References listed on IDEAS

    as
    1. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    2. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    3. Evren, Özgür & Hüsseinov, Farhad, 2008. "Theorems on the core of an economy with infinitely many commodities and consumers," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1180-1196, December.
    4. Carlos Hervés-Beloso & Emma Moreno-García & Nicholas C. Yannelis, 2006. "Characterization and incentive compatibility of Walrasian expectations equilibrium in infinite dimensional commodity spaces," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 119-139, Springer.
    5. De Simone, Anna & Graziano, Maria Gabriella, 2003. "Cone conditions in oligopolistic market models," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 53-73, February.
    6. Robert Wilson, 2005. "Information, efficiency, and the core of an economy," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 55-64, Springer.
    7. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "On the Core of an Economy with Differential Information," Journal of Economic Theory, Elsevier, vol. 94(2), pages 262-270, October.
    8. repec:dau:papers:123456789/2344 is not listed on IDEAS
    9. Gerard Debreu, 1963. "On a Theorem of Scarf," Review of Economic Studies, Oxford University Press, vol. 30(3), pages 177-180.
    10. Marialaura Pesce, 2010. "On mixed markets with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 23-53, October.
    11. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2005. "Competitive and core allocations in large economies with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 173-183, Springer.
    12. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-583, May.
    13. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    14. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
    15. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
    16. Laura Angeloni & V. Martins-da-Rocha, 2009. "Large economies with differential information and without free disposal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 263-286, February.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Asymmetric information; Exactly feasible; Ex-post core; mixed economy; NY-fine core; NY-private core; Robustly efficient allocation; NY-strong fine core; RW-fine core; Walrasian expectations allocation;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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