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Equilibrium Data Sets and Compatible Utility Rankings

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  • Yves Balasko

    (Paris-Jourdan Sciences Économiques (PSE))

  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract

Sets consisting of finite collections of prices and endowments such that total resources are constant, or collinear, or approximately collinear, can always be viewed as subsets of some equilibrium manifold. The additional requirement that such collections of price-endowment data are compatible with some individual preference rankings is reduced to the existence of solutions to some set of linear inequalities and equalities. This characterization enables us to give simple proofs of the contractibility of the set whose elements are finite equilibrium data collections compatible with given individual preference rankings and the path-connectedness of the set made of finite equilibrium data set.

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Bibliographic Info

Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 05-23.

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Length: 8 pages
Date of creation:
Date of revision: Nov 2005
Handle: RePEc:kud:kuiedp:0523

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  1. 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.
  2. Balasko, Yves, 1975. "The Graph of the Walras Correspondence," Econometrica, Econometric Society, vol. 43(5-6), pages 907-12, Sept.-Nov.
  3. Balasko, Yves, 1975. "Some results on uniqueness and on stability of equilibrium in general equilibrium theory," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 95-118.
  4. Donald J. Brown & Rosa L. Matzkin, 1995. "Testable Restrictions on the Equilibrium Manifold," Cowles Foundation Discussion Papers 1109, Cowles Foundation for Research in Economics, Yale University.
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Cited by:
  1. Felix KUBLER & Karl SCHMEDDERS, . "Non-parametric counterfactual analysis in dynamic general equilibrium," Swiss Finance Institute Research Paper Series 09-05, Swiss Finance Institute.

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