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The Geometry of Finite Equilibrium Datasets

Author

Listed:
  • Yves Balasko

    (Department of Economics and Related Studies, University of York)

  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract

We investigate the geometry of finite datasets defined by equilibrium prices, income distributions, and total resources. We show that the equilibrium condition imposes no restrictions if total resources are collinear, a property that is robust to small perturbations. We also show that the set of equilibrium datasets is pathconnected when the equilibrium condition does impose restrictions on datasets, as for example when total resources are widely non collinear.

Suggested Citation

  • Yves Balasko & Mich Tvede, 2009. "The Geometry of Finite Equilibrium Datasets," Discussion Papers 09-07, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0907
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    References listed on IDEAS

    as
    1. Yves Balasko & Mich Tvede, 2010. "Individual preference rankings compatible with prices, income distributions and total resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(3), pages 497-513, December.
    2. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    3. Snyder, Susan K., 2004. "Observable implications of equilibrium behavior on finite data," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 165-176, February.
    4. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.
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    Cited by:

    1. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
    2. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 181-200, October.
    3. Yves Balasko & Mich Tvede, 2010. "Individual preference rankings compatible with prices, income distributions and total resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(3), pages 497-513, December.
    4. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.

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    More about this item

    Keywords

    equilibrium manifold; rationalizability; pathconnectedness;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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