A microfoundation for normalized CES production functions with factor-augmenting technical change
We derive the aggregate normalized CES production function from idea-based microfoundations where firms are allowed to choose their capital- and labor-augmenting technology optimally from a menu of available technologies. This menu is in turn augmented through factor-specific R&D. The considered model yields a number of interesting results. First, normalization of the production function can be maintained simultaneously at the local and at the aggregate level, greatly facilitating interpretation of the aggregate production function’s parameters in terms of the underlying idea distributions. Second, in line with earlier findings, if capital- and labor-augmenting ideas are independently Weibull-distributed then the aggregate production function is CES; if they are independently Pareto-distributed, then it is Cobb–Douglas. Third, by disentangling technology choice by firms from R&D output, one can draw a clearcut distinction between the direction of R&D and the direction of technical change actually observed in the economy, which are distinct concepts. Fourth, it is argued that the Weibull distribution should be a good approximation of the true unit factor productivity distribution (and thus the CES should be a good approximation of the true aggregate production function) if a “technology” is in fact an assembly of a large number of complementary components. This argument is illustrated with a novel, tractable model of directed (factor-specific) R&D. Finally, it is shown that all our results carry forward to the general case of n-input production functions.
|Date of creation:||2011|
|Date of revision:|
|Contact details of provider:|| Postal: 00-919 Warszawa ul. Świętokrzyska 11/21|
Phone: (0-22) 653 10 00
Fax: (0-22) 620 85 18
Web page: http://www.nbp.pl/Homen.aspx?f=/en/publikacje/materialy_i_studia/informacja_en.html
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.:
- Growiec, Jakub, 2008. "Production functions and distributions of unit factor productivities: Uncovering the link," Economics Letters, Elsevier, vol. 101(1), pages 87-90, October.
- Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010.
"Identifying the Elasticity of Substitution with Biased Technical Change,"
American Economic Review,
American Economic Association, vol. 100(4), pages 1330-57, September.
- León-Ledesma, Miguel A. & McAdam, Peter & Willman, Alpo, 2009. "Identifying the elasticity of substitution with biased technical change," Working Paper Series 1001, European Central Bank.
- Daron Acemoglu, 2000.
"Labor- and Capital- Augmenting Technical Change,"
NBER Working Papers
7544, National Bureau of Economic Research, Inc.
- 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.
- Jakub Growiec, 2012.
"Factor-Augmenting Technology Choice and Monopolistic Competition,"
DEGIT Conference Papers
c017_038, DEGIT, Dynamics, Economic Growth, and International Trade.
- Growiec, Jakub, 2013. "Factor-augmenting technology choice and monopolistic competition," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 86-94.
- Jakub Growiec, 2012. "Factor-augmenting technology choice and monopolistic competition," National Bank of Poland Working Papers 129, National Bank of Poland, Economic Institute.
- Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
- Daron Acemoglu & Veronica Guerrieri, 2006.
"Capital Deepening and Non-Balanced Economic Growth,"
2006 Meeting Papers
207, Society for Economic Dynamics.
- Daron Acemoglu & Veronica Guerrieri, 2006. "Capital Deepening and Non-Balanced Economic Growth," NBER Working Papers 12475, National Bureau of Economic Research, Inc.
- Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 551-575.
- de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
- Growiec, Jakub, 2006.
"A New Class of Production Functions and an Argument Against Purely Labor-Augmenting Technical Change,"
7069, University Library of Munich, Germany.
- Jakub Growiec, 2008. "A new class of production functions and an argument against purely labor-augmenting technical change," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 483-502.
- 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).
- Klump, Rainer & McAdam, Peter & Willman, Alpo, 2011.
"The normalized CES production function: theory and empirics,"
Working Paper Series
1294, European Central Bank.
- Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
- Jakub Growiec, 2005.
"Beyond the Linearity Critique: The Knife-Edge Assumption of Steady State Growth,"
GE, Growth, Math methods
0505003, EconWPA, revised 23 Jun 2005.
- Jakub Growiec, 2007. "Beyond the Linearity Critique: The Knife-edge Assumption of Steady-state Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 489-499, June.
- Francesco Caselli & Wilbur John Coleman II, 2000.
"The World Technology Frontier,"
NBER Working Papers
7904, National Bureau of Economic Research, Inc.
- Charles I. Jones, 2011. "Intermediate Goods and Weak Links in the Theory of Economic Development," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(2), pages 1-28, April.
- Daron Acemoglu, 2007.
"Equilibrium Bias of Technology,"
Econometric Society, vol. 75(5), pages 1371-1409, 09.
- Nakamura, Hideki, 2009. "Micro-foundation for a constant elasticity of substitution production function through mechanization," Journal of Macroeconomics, Elsevier, vol. 31(3), pages 464-472, September.
- Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
- de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-81, June.
- Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
- Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
- H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(2), pages 117-124.
- Theodore Palivos & Giannis Karagiannis, 2007.
"The elasticity of substitution as an engine of growth,"
Discussion Paper Series
2007_03, Department of Economics, University of Macedonia, revised Dec 2007.
- Palivos, Theodore & Karagiannis, Giannis, 2010. "The Elasticity Of Substitution As An Engine Of Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 14(05), pages 617-628, November.
- Mihaela Iulia Pintea & Peter Thompson, 2007. "Technological Complexity and Economic Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(2), pages 276-293, April.
- Miguel A. Leon-Ledesma & Mathan Satchi, 2011. "The Choice of CES Production Techniques and Balanced Growth," Studies in Economics 1113, School of Economics, University of Kent.
When requesting a correction, please mention this item's handle: RePEc:nbp:nbpmis:98. 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: (Ewa Szymecka)
If references are entirely missing, you can add them using this form.