Testable Implications of General Equilibrium Theory: A Differentiable Approach

Brown University, Economics Working Paper No. 02-10

18 Pages Posted: 5 May 2002

See all articles by H. M. Polemarchakis

H. M. Polemarchakis

Catholic University of Louvain (UCL) - Center for Operations Research and Econometrics (CORE)

Pierre-Andre Chiappori

Columbia University - Graduate School of Arts and Sciences, Department of Economics

Felix Kubler

University of Zurich; Swiss Finance Institute

Ivar Ekeland

University of British Columbia (UBC) - Faculty of Education; Université Paris Dauphine - CEREMADE

Date Written: April 2002

Abstract

We characterize the equilibrium manifold of an economy when initial endowments can be individually observed. We adopt a local, "differentiable" perspective. We derive necessary and sufficient conditions that characterize the equilibrium manifold, and we show that, if these conditions are satisfied, then the economy can be identified. We show, further, that, if only aggregate data are available, observable restrictions vanish. We conclude that the availability of individual data is essential for the derivation of testable consequences of the general equilibrium construct.

Keywords: Aggregation, Equilibrium, Identification, Testability

JEL Classification: D10, D50

Suggested Citation

Polemarchakis, Herakles and Chiappori, Pierre-Andre and Kubler, Felix E. and Ekeland, Ivar, Testable Implications of General Equilibrium Theory: A Differentiable Approach (April 2002). Brown University, Economics Working Paper No. 02-10, Available at SSRN: https://ssrn.com/abstract=307845 or http://dx.doi.org/10.2139/ssrn.307845

Herakles Polemarchakis

Catholic University of Louvain (UCL) - Center for Operations Research and Econometrics (CORE) ( email )

34 Voie du Roman Pays
B-1348 Louvain-la-Neuve, b-1348
Belgium

Pierre-Andre Chiappori

Columbia University - Graduate School of Arts and Sciences, Department of Economics ( email )

420 W. 118th Street
New York, NY 10027
United States

Felix E. Kubler

University of Zurich ( email )

Rämistrasse 71
Zürich, CH-8006
Switzerland

Swiss Finance Institute

c/o University of Geneva
40, Bd du Pont-d'Arve
CH-1211 Geneva 4
Switzerland

Ivar Ekeland (Contact Author)

University of British Columbia (UBC) - Faculty of Education ( email )

Université Paris Dauphine - CEREMADE ( email )

Place du Marechal de Lattre de Tassigny
Paris Cedex 16, 75775
France

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