A New Class of Production Functions and an Argument Against Purely Labor-Augmenting Technical Change
This paper follows Jones (2005) in his approach to deriving the global production function from microfoundations. His framework is generalized by allowing for dependence between the Pareto distributions of labor- and capital-augmenting developments. Using the Clayton copula family to capture this dependence, we derive a “Clayton-Pareto” class of production functions that nests both the Cobb-Douglas and the CES. Embedding the resultant production function in a neoclassical growth framework, we draw conclusions for the long-run direction of technical change. Jones’ result of Cobb-Douglas global production functions and purely labor-augmenting technical change hinges on the assumption of independence of marginal Pareto distributions. In our more general case, the shape of local production functions matters for the shape of the global production function, and technical change augments both factors in the long run. Furthermore, the elasticity of substitution between capital and labor may exceed unity and thus yield endogenous growth.
|Date of creation:||19 Jun 2006|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Susanto Basu & David N. Weil, 1998.
"Appropriate Technology and Growth,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 113(4), pages 1025-1054.
- Susanto Basu & David N. Weil, 1996. "Appropriate Technology and Growth," NBER Working Papers 5865, National Bureau of Economic Research, Inc.
- David N. Weil, 1996. "Appropriate Technology and Growth," Working Papers 96-24, Brown University, Department of Economics.
- H. S. Houthakker, 1955. "The Pareto Distribution and the Cobb-Douglas Production Function in Activity Analysis," Review of Economic Studies, Oxford University Press, vol. 23(1), pages 27-31.
- Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
- R. M. Solow & J. Tobin & C. C. von Weizsäcker & M. Yaari, 1966. "Neoclassical Growth with Fixed Factor Proportions," Review of Economic Studies, Oxford University Press, vol. 33(2), pages 79-115.
- Ola Olsson, 2005. "Technological Opportunity and Growth," Journal of Economic Growth, Springer, vol. 10(1), pages 31-53, 01.
- Yuhn, Ky-hyang, 1991. "Economic Growth, Technical Change Biases, and the Elasticity of Substitution: A Test of the De La Grandville Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 340-346, May.
- Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
- H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(2), pages 117-124.
- Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, 03.
- Daron Acemoglu, 2000. "Labor- and Capital- Augmenting Technical Change," NBER Working Papers 7544, National Bureau of Economic Research, Inc.
- de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
- Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
- Francesco Caselli & Wilbur John Coleman II, 2006. "The World Technology Frontier," American Economic Review, American Economic Association, vol. 96(3), pages 499-522, June.
- Francesco Caselli & Wilbur John Coleman II, 2000. "The World Technology Frontier," NBER Working Papers 7904, National Bureau of Economic Research, Inc.
- Caselli, Francesco & Coleman II, Wilbur John, 2000. "The World Technology Frontier," CEPR Discussion Papers 2584, C.E.P.R. Discussion Papers.
- Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 517-549.
- Sattinger, Michael, 1975. "Comparative Advantage and the Distributions of Earnings and Abilities," Econometrica, Econometric Society, vol. 43(3), pages 455-468, May.
- Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
- Atkinson, Anthony B & Stiglitz, Joseph E, 1969. "A New View of Technological Change," Economic Journal, Royal Economic Society, vol. 79(315), pages 573-578, September. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:7069. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If references are entirely missing, you can add them using this form.