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Existence of General Equilibrium for Spatial Economies

Author

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  • Bernard Cornet

    (Universite Paris I)

  • Jean-Philippe Medecin

    (Universite Paris 1)

Abstract

We consider a general equilibrium model of a spatial private ownership economy with a continuum of consumers and with a finite number of producers. The space of locations is represented by a compact set and a finite number of physical goods is available at each location. The consumers haveto choose a unique place where to consume and their initial endowments is conditional to their choice of residence. This consumer behavior, a main difference with the Arrow-Debreu world, induces structural non-convexities (on the consumption sets). The notion of spatial equilibria is precisely defined and we provide an existence theorem of such equilibria.

Suggested Citation

  • Bernard Cornet & Jean-Philippe Medecin, 2000. "Existence of General Equilibrium for Spatial Economies," Econometric Society World Congress 2000 Contributed Papers 1107, Econometric Society.
    • Handle: RePEc:ecm:wc2000:1107
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    Cited by:

    1. Bernard Cornet & V. F. Martins-Da-Rocha, 2005. "Fatou¡¯S Lemma For Unbounded Gelfand Integrable Mappings," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200503, University of Kansas, Department of Economics, revised Feb 2005.
    2. Courtney Lafountain, 2007. "Endogenous City Formation with Production Externalities: Existence of Equilibrium," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 959-978, December.
    3. Bernard Cornet & V. Filipe Martins-Da-Rocha, 2021. "Fatou's Lemma for Unbounded Gelfand Integrable Mappings," Post-Print hal-03506933, HAL.
    4. Courtney LaFountain, 2008. "Core equivalence for residential land use models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 459-481, December.
    5. Cornet, Bernard & Topuzu, Mihaela & Yildiz, Aysegul, 2003. "Equilibrium theory with a measure space of possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 175-196, June.

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