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Individual preference rankings compatible with prices, income distributions and total resources

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  • Yves Balasko
  • Mich Tvede

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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  • 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.
    • Handle: RePEc:spr:joecth:v:45:y:2010:i:3:p:497-513
    DOI: 10.1007/s00199-009-0468-7
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, vol. 55(3), pages 687-691, May.
    3. Yves Balasko, 2004. "The equilibrium manifold keeps the memory of individual demand functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 493-501, October.
    4. 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.
    5. Chiappori, P. -A. & Ekeland, I. & Kubler, F. & Polemarchakis, H. M., 2004. "Testable implications of general equilibrium theory: a differentiable approach," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 105-119, February.
    6. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.
    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. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.
    2. Hans Keiding & Mich Tvede, 2013. "Revealed smooth nontransitive preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 463-484, November.
    3. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 349-378, October.
    4. 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.

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    More about this item

    Keywords

    Equilibrium manifold; Rationalizability; Testability; Pathconnectedness; D1; D5;
    All these keywords.

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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