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Individual Preference Rankings Compatible with Prices, Income Distributions and Total Resources

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Author Info

  • Yves Balasko

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

  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract

We consider the problem of determining the individual preference rankings that are necessarily implied by a dataset consisting of prices, income distributions and total resources. We show the equivalence between the compatibility with individual preference rankings and the existence of a solution to a set of linear equalities and inequalities. Using this characterization, we give new proofs of the rationalizability of finite data sets where total resources are close to being collinear and the contractibility and pathconnectedness of the set that consists of rationalizable finite datasets.

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Bibliographic Info

Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 09-09.

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Length: 9 pages
Date of creation: Apr 2009
Date of revision:
Handle: RePEc:kud:kuiedp:0909

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Keywords: equilibrium manifold; rationalizability; testability; pathconnectedness;

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References

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  1. Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, vol. 55(3), pages 687-91, May.
  2. P.A. Chiappori & I. Ekeland & F. Kubler & H.M. Polemarchakis, 2002. "Testable Implications of General Equilibrium Theory: a differentiable approach," Working Papers 2002-10, Brown University, Department of Economics.
  3. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  4. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  5. Yves Balasko & Mich Tvede, 2009. "The Geometry of Finite Equilibrium Datasets," Discussion Papers 09-07, University of Copenhagen. Department of Economics.
  6. Yves Balasko, 2004. "The equilibrium manifold keeps the memory of individual demand functions," Economic Theory, Springer, vol. 24(3), pages 493-501, October.
  7. Yves Balasko & Mich Tvede, 2003. "Individual preferences compatible with a finite number of equilibrium data: A linear programming characterization," Levine's Bibliography 666156000000000291, UCLA Department of Economics.
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Cited by:
  1. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer, vol. 45(1), pages 349-378, October.
  2. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer, vol. 45(1), pages 181-200, October.

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