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Aggregation in Models with Quantity Constraints: The CES Aggregation Function

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  • Entorf, Horst

    (Universität Würzburg, Institut für Volkswirtschaftslehre)

  • Sneessens, Henri R.

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES) ; Faculté Libre de Sciences Economiques, Lille)

Abstract

This 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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Paper 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.

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Length: 27
Date of creation: 01 Dec 1998
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Handle: RePEc:ctl:louvir:1999008

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Keywords: Macroeconomics; smoothing-by-aggregation; mismatch; approximation;

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  1. Fagnart, Jean-Francois & Licandro, Omar & Sneessens, Henri R., 1997. "Capacity utilization and market power," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 123-140, November.
  2. Barro, Robert J & Grossman, Herschel I, 1971. "A General Disequilibrium Model of Income and Employment," American Economic Review, American Economic Association, vol. 61(1), pages 82-93, March.
  3. Charles T. Carlstrom & Timothy S. Fuerst, 1996. "Agency costs, net worth, and business fluctuations: a computable general equilibrium analysis," Working Paper 9602, Federal Reserve Bank of Cleveland.
  4. Eskil HEINESEN, 1994. "CES Transaction Functions in Macroeconomic Rationing Models," Discussion Papers (REL - Recherches Economiques de Louvain) 1994032, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  5. Kahn, James A, 1987. "Inventories and the Volatility of Production," American Economic Review, American Economic Association, vol. 77(4), pages 667-79, September.
  6. Heinesen, Eskil, 1995. "The two-variable CES transaction function in macroeconomic rationing models," Economics Letters, Elsevier, vol. 48(3-4), pages 257-265, June.
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