The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Cobb–Douglas Functions

  • Murray Brown
Reference work entry


Perhaps the most common form of production function in economics, the Cobb–Douglas function has a range of attractive properties. The input demand and supply of output functions have the property of continuous differentiability everywhere on their respective domains; and the form has a function coefficient that is identical to its degree of homogeneity, calculated by summing the factor production elasticities. Its restrictions have made it an object of disdain for some. But the Cobb–Douglas form is remarkably robust in a vast variety of applications and is therefore very likely to endure.


Aggregation (production) CES production function Cobb, C. Cobb–Douglas functions Douglas, P. H. Elasticity of substitution Factor substitution Frontier production functions Production functions Technical change Walras, L. Wicksell, J. G. K. Wicksteed, P. H. 

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  1. Brown, M. 1966. On the theory and measurement of technological change. Cambridge: Cambridge University Press.Google Scholar
  2. Brown, M., and J. De Cani. 1963. Technological change and the distribution of income. International Economic Review 4: 289–309.CrossRefGoogle Scholar
  3. Christensen, L.R., D.W. Jorgenson, and L.J. Lau. 1973. Transcendental logarithmic production frontiers. Review of Economics and Statistics 55: 28–45.CrossRefGoogle Scholar
  4. Douglas, P.H. 1948. Are there laws of production? American Economic Review 38: 1–41.Google Scholar
  5. Douglas, P.H. 1967. Comments on the Cobb–Douglas production function. In The theory and empirical analysis of production, edited by. M. Brown, National Bureau of Economic Research, Studies in Income and Wealth No. 31. New York: Columbia University Press.Google Scholar
  6. Førsund, F.R., C.A.K. Lovell, and P. Schmidt. 1980. A survey of frontier production functions and of their relationship to efficiency measurement. Journal of Econometrics 13: 5–25.CrossRefGoogle Scholar
  7. Mairesse, J. 1974. Comparison of production function estimates. Paris: Institut National de la Statistique et des Etudes Economiques.Google Scholar
  8. Sato, K. 1975. Production functions and aggregation. Amsterdam: North-Holland.Google Scholar
  9. Wicksell, K. 1958. Selected papers on economic theory. ed. Erik Lindahl. Cambridge, MA: Harvard.Google Scholar
  10. Zarembka, P. 1987. Transformation of variables in econometrics. In The new Palgrave: A dictionary of economics, ed. J. Eatwell, M. Milgate, and P. Newman, vol. 4. London: Macmillan.Google Scholar

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© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • Murray Brown
    • 1
  1. 1.