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

  • Yves Balasko

    ()

  • Mich Tvede

    ()

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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File URL: http://hdl.handle.net/10.1007/s00199-009-0468-7
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Article provided by Springer in its journal Economic Theory.

Volume (Year): 45 (2010)
Issue (Month): 3 (December)
Pages: 497-513

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Handle: RePEc:spr:joecth:v:45:y:2010:i:3:p:497-513
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  1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  2. Yves Balasko, 2004. "The equilibrium manifold keeps the memory of individual demand functions," Economic Theory, Springer, vol. 24(3), pages 493-501, October.
  3. 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.
  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. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.
  6. 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.
  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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