Aggregation in Models with Quantity Constraints: The CES Aggregation Function
AbstractThis paper is devoted to the problem of aggregation in models with quantity constraints. The focus is on quantity rationing macroeconomic (QRM) models where the micromarket outcome can be written as the minimum of several variables and where the diversity of situations across micromarkets is explicitly recognized. The aggregation result given in this paper generalizes that of Lambert (1988) to employment functions with more than two components, and leads to approximate aggregate functions of the CES variety. The approximation used can accomodate general variance-covariance structures. Simulation experiments show that the approximation error remains within reasonable bounds (1-4%). It thus seems that the CES formulation can accomodate a large variety of situations. It remains in particular valid when the (restrictive) conditions required to obtain the CES function as an exact result (independently identically distributed Weibull variables) are not satisfied.
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Bibliographic InfoPaper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 1999008.
Date of creation: 01 Dec 1998
Date of revision:
Macroeconomics; smoothing-by-aggregation; mismatch; approximation;
Other versions of this item:
- Horst Entorf & Henri R. Sneessens, 2000. "Aggregation in models with quantity constraints: The CES aggregation function," Empirical Economics, Springer, vol. 25(1), pages 35-59.
- E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
- J60 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-02-10 (All new papers)
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