Individual Preference Rankings Compatible with Prices, Income Distributions and Total Resources
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.
|Date of creation:||Apr 2009|
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- Yves Balasko & Mich Tvede, 2009.
"The Geometry of Finite Equilibrium Datasets,"
09-07, University of Copenhagen. Department of Economics.
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"Testable Restrictions on the Equilibrium Manifold,"
Cowles Foundation Discussion Papers
1109, Cowles Foundation for Research in Economics, Yale University.
- 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.
- P.A. Chiappori & I. Ekeland & F. Kubler & H.M. Polemarchakis, 2002.
"Testable Implications of General Equilibrium Theory: a differentiable approach,"
2002-10, Brown University, Department of Economics.
- 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.
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
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