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On Core-Walras Equivalence in Banach Spaces when Feasibility is defined by the Pettis Integral

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Abstract

The paper studies the core-Walras equivalence problem in the commodity space framework of Banach spaces, allocations being defined as Pettis integrable functions. In particular, a core-Walras equivalence result for a certain class of commodity spaces is established, without requiring that the commodity space be separable. on the other hand, responding to objections made against some recent core-Walras nonequivalence results in the Bochner integrable allocations setting, it is shown that these latter results carry over to the pettis integrable allocations setting, unless additional restrictions on the heterogeneity of agents´ preferences are in force.

Suggested Citation

  • Konrad Podczeck, 2003. "On Core-Walras Equivalence in Banach Spaces when Feasibility is defined by the Pettis Integral," Vienna Economics Papers 0403, University of Vienna, Department of Economics.
  • Handle: RePEc:vie:viennp:0403
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    File URL: http://homepage.univie.ac.at/Papers.Econ/RePEc/vie/viennp/vie0403.pdf
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    References listed on IDEAS

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    1. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    2. Bewley, Truman F, 1973. "The Equality of the Core and the Set of Equilibria in Economies with Infinitely Many Commodities and a Continuum of Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 383-394, June.
    3. Rustichini, Aldo & Yannelis, Nicholas C., 1991. "Edgeworth's conjecture in economies with a continuum of agents and commodities," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 307-326.
    4. Ostroy, Joseph M & Zame, William R, 1994. "Nonatomic Economies and the Boundaries of Perfect Competition," Econometrica, Econometric Society, vol. 62(3), pages 593-633, May.
    5. Tourky, Rabee & Yannelis, Nicholas C., 2001. "Markets with Many More Agents than Commodities: Aumann's "Hidden" Assumption," Journal of Economic Theory, Elsevier, vol. 101(1), pages 189-221, November.
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    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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