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CES Transaction Functions in Macroeconomic Rationing Models


  • Eskil HEINESEN

    (Institute of Economics, University of Copenhagen)


In recent years a large number of macroeconomic rationing models with smooth CES transaction functions have been estimated. The widely used CES transaction functions with three arguments are often claimed to be derivable (as approximate relationships) from an assumption of lognormally distributed demands and supplies. One objective of this paper is to point out that the reasoning offered in the literature for this claim is not very clear or rigorous. Another, and more constructive, objective is to analyse and discuss in detail the derivation and properties of the CES transaction functions. Basic assumptions under- lying the CES transaction functions are illuminated on the basis of a rather general description of the aggregation problem in models with both goods and labour markets, and general properties of transaction functions based on "multiplicative distributional assumptions" are analysed. Several new results concerning the exact derivation of the CES transaction functions on the basis of the Weibull distribution are shown. The quality of the CES transaction functions as approximate relationships given lognormally distributed demands and supplies is discussed. Finally it is shown that the CES transaction functions have reasonable properties.

Suggested Citation

  • 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).
  • Handle: RePEc:ctl:louvre:1994032

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    Cited by:

    1. 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.
    2. Heinesen, Eskil, 1995. "The two-variable CES transaction function in macroeconomic rationing models," Economics Letters, Elsevier, vol. 48(3-4), pages 257-265, June.
    3. Heinesen, Eskil, 1995. "A macroeconomic rationing model estimated by cointegration techniques and generalized method of moments," Economic Modelling, Elsevier, vol. 12(2), pages 97-110, April.

    More about this item

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian


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