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Edgeworth equilibria: separable and non-separable commodity spaces

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  • Bhowmik, Anuj

Abstract

Consider a pure exchange differential information economy with an atomless measure space of agents and a Banach lattice as the commodity space. If the commodity space is separable, then it is shown that the private core coincides with the set of Walrasian expectations allocations. In the case of non-separable commodity space, a similar result is also established if the space of agents is decomposed into countably many different types.

Suggested Citation

  • Bhowmik, Anuj, 2013. "Edgeworth equilibria: separable and non-separable commodity spaces," MPRA Paper 46796, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:46796
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    File URL: https://mpra.ub.uni-muenchen.de/46796/1/MPRA_paper_46796.pdf
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    References listed on IDEAS

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    1. 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.
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    3. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2001. "Competitive and core allocations in large economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 321-332.
    4. 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.
    5. Konrad Podczeck, 2003. "Core and Walrasian equilibria when agents' characteristics are extremely dispersed," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 699-725, November.
    6. Hiai, Fumio & Umegaki, Hisaharu, 1977. "Integrals, conditional expectations, and martingales of multivalued functions," Journal of Multivariate Analysis, Elsevier, vol. 7(1), pages 149-182, March.
    7. Gabszewicz, Jean Jaskold & Mertens, Jean-Francois, 1971. "An Equivalence Theorem for the Core of an Economy Whose Atoms Are Not 'Too' Big," Econometrica, Econometric Society, vol. 39(5), pages 713-721, September.
    8. Podczeck, K., 2005. "On core-Walras equivalence in Banach lattices," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 764-792, September.
    9. Bhowmik, Anuj & Cao, Jiling, 2012. "Blocking efficiency in an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 396-403.
    10. Bhowmik, Anuj & Cao, Jiling, 2013. "Robust efficiency in mixed economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 49-57.
    11. Yannelis, Nicholas C. & Zame, William R., 1986. "Equilibria in Banach lattices without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 85-110, April.
    12. Carlos Hervés-Beloso & Emma Moreno-García & Nicholas Yannelis, 2005. "Characterization and incentive compatibility of Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 361-381, August.
    13. Podczeck, K., 2004. "On Core-Walras equivalence in Banach spaces when feasibility is defined by the Pettis integral," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 429-463, June.
    14. De Simone, Anna & Graziano, Maria Gabriella, 2003. "Cone conditions in oligopolistic market models," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 53-73, February.
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    Cited by:

    1. Bhowmik, Anuj & Graziano, Maria Gabriella, 2015. "On Vind’s theorem for an economy with atoms and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 26-36.
    2. Bhowmik, Anuj & Centrone, Francesca & Martellotti, Anna, 2016. "Coalitional Extreme Desirability in Finitely Additive Economies with Asymmetric Information," MPRA Paper 71084, University Library of Munich, Germany.

    More about this item

    Keywords

    Differential information economy; Extremely desirable bundle; Private core.;

    JEL classification:

    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • 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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