A new class of production functions and an argument against purely labor-augmenting technical change
AbstractThis 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 âClayton-Paretoâ 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. Jonesâ 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.
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Bibliographic InfoArticle provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.
Volume (Year): 4 (2008)
Issue (Month): 4 ()
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355
Other versions of this item:
- GROWIEC, Jakub, 2006. "A new class of production functions and an argument against purely labor-augmenting technical change," CORE Discussion Papers 2006056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Growiec, Jakub, 2006. "A New Class of Production Functions and an Argument Against Purely Labor-Augmenting Technical Change," MPRA Paper 7069, University Library of Munich, Germany.
- O30 - Economic Development, Technological Change, and Growth - - Technological Change; Research and Development; Intellectual Property Rights - - - General
- E23 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Production
- O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
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- 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 340-46, May.
- Francesco Caselli & Wilbur John Coleman II, 2000.
"The World Technology Frontier,"
NBER Working Papers
7904, National Bureau of Economic Research, Inc.
- Sattinger, Michael, 1975. "Comparative Advantage and the Distributions of Earnings and Abilities," Econometrica, Econometric Society, vol. 43(3), pages 455-68, May.
- Atkinson, Anthony B & Stiglitz, Joseph E, 1969. "A New View of Technological Change," Economic Journal, Royal Economic Society, vol. 79(315), pages 573-78, September.
- Daron Acemoglu, 2000.
"Labor- and Capital- Augmenting Technical Change,"
NBER Working Papers
7544, National Bureau of Economic Research, Inc.
- Susanto Basu & David N. Weil, 1998.
"Appropriate Technology And Growth,"
The Quarterly Journal of Economics,
MIT Press, vol. 113(4), pages 1025-1054, November.
- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
- Charles I. Jones, 2005.
"The Shape of Production Functions and the Direction of Technical Change,"
The Quarterly Journal of Economics,
MIT Press, vol. 120(2), pages 517-549, May.
- Charles I. Jones, 2004. "The Shape of Production Function and the Direction of Technical Change," NBER Working Papers 10457, National Bureau of Economic Research, Inc.
- 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 1008-38, October.
- Ola Olsson, 2005. "Technological Opportunity and Growth," Journal of Economic Growth, Springer, vol. 10(1), pages 31-53, 01.
- 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.
- Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
- de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-81, June.
- Jakub Growiec, 2011.
"A microfoundation for normalized CES production functions with factor-augmenting technical change,"
National Bank of Poland Working Papers
98, National Bank of Poland, Economic Institute.
- Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
- Jakub Growiec, 2011. "A Microfoundation for Normalized CES Production Functions with Factor-Augmenting Technical Change," DEGIT Conference Papers c016_013, DEGIT, Dynamics, Economic Growth, and International Trade.
- McAdam, Peter & Willman, Alpo, 2008. "Medium run redux: technical change, factor shares and frictions in the euro area," Working Paper Series 0915, European Central Bank.
- Jakub Growiec, 2012. "The World Technology Frontier: What Can We Learn from the US States?-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(6), pages 777-807, December.
- Harashima, Taiji, 2011. "A Model of Total Factor Productivity Built on Hayek’s View of Knowledge: What Really Went Wrong with Socialist Planned Economies?," MPRA Paper 29107, University Library of Munich, Germany.
- Growiec, Jakub, 2010.
"Knife-edge conditions in the modeling of long-run growth regularities,"
Journal of Macroeconomics,
Elsevier, vol. 32(4), pages 1143-1154, December.
- Growiec, Jakub, 2008. "Knife-edge conditions in the modeling of long-run growth regularities," MPRA Paper 9956, University Library of Munich, Germany.
- Jakub Growiec, 2009. "Knife-Edge Conditions in the Modeling of Long-Run Growth Regularities," National Bank of Poland Working Papers 68, National Bank of Poland, Economic Institute.
- Harashima, Taiji, 2012. "A Theory of Intelligence and Total Factor Productivity: Value Added Reflects the Fruits of Fluid Intelligence," MPRA Paper 43151, University Library of Munich, Germany.
- Harashima, Taiji, 2009. "A Theory of Total Factor Productivity and the Convergence Hypothesis: Workers’ Innovations as an Essential Element," MPRA Paper 15508, University Library of Munich, Germany.
- Growiec, Jakub, 2008. "Productivity differences across OECD countries, 1970–2000: the world technology frontier revisited," MPRA Paper 11605, University Library of Munich, Germany.
- McAdam, Peter & Willman, Alpo, 2013. "Medium Run Redux," Macroeconomic Dynamics, Cambridge University Press, vol. 17(04), pages 695-727, June.
- Miguel A León-Ledesma & Peter McAdam & Alpo Willman, 2012. "Non-Balanced Growth and Production Technology Estimation," Studies in Economics 1204, Department of Economics, University of Kent.
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