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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

    as
    1. Anuj Bhowmik & Jiling Cao, 2013. "On the core and Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 537-560, August.
    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.
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    5. 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.
    6. Bhowmik, Anuj & Cao, Jiling, 2013. "Robust efficiency in mixed economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 49-57.
    7. 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.
    8. 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.
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    11. repec:dau:papers:123456789/2344 is not listed on IDEAS
    12. 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.
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    15. Podczeck, K., 2005. "On core-Walras equivalence in Banach lattices," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 764-792, September.
    16. Bhowmik, Anuj & Cao, Jiling, 2012. "Blocking efficiency in an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 396-403.
    17. Koutsougeras, Leonidas C & Yannelis, Nicholas C, 1993. "Incentive Compatibility and Information Superiority of the Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 195-216, April.
    18. 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.
    19. Hildenbrand, Werner, 1993. "Core of an economy," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 18, pages 831-877, Elsevier.
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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, 2019. "Coalitional extreme desirability in finitely additive economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 83-93.

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    More about this item

    Keywords

    Differential information economy; Extremely desirable bundle; Private core.;
    All these keywords.

    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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