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|
|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
References listed on IDEAS
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.:
- Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
- Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
- Jakub Growiec, 2012.
"Factor-augmenting technology choice and monopolistic competition,"
National Bank of Poland Working Papers
129, National Bank of Poland, Economic Institute.
- 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," DEGIT Conference Papers c017_038, DEGIT, Dynamics, Economic Growth, and International Trade.
- Francesco Caselli & Wilbur John Coleman II, 2000.
"The World Technology Frontier,"
NBER Working Papers
7904, 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.
- 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, 2003.
"Labor- And Capital-Augmenting Technical Change,"
Journal of the European Economic Association,
MIT Press, vol. 1(1), pages 1-37, 03.
- 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.
- 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.
- Growiec, Jakub, 2008. "Production functions and distributions of unit factor productivities: Uncovering the link," Economics Letters, Elsevier, vol. 101(1), pages 87-90, October.
- Jakub Growiec, 2007.
"Beyond the Linearity Critique: The Knife-edge Assumption of Steady-state Growth,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 489-499, June.
- 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.
- 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).
- 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.
- de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
- Daron Acemoglu, 2007.
"Equilibrium Bias of Technology,"
Econometric Society, vol. 75(5), pages 1371-1409, 09.
- 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.
- Daron Acemoglu & Veronica Guerrieri, 2006.
"Capital Deepening and Non-Balanced Economic Growth,"
NBER Working Papers
12475, National Bureau of Economic Research, Inc.
- Daron Acemoglu & Veronica Guerrieri, 2006. "Capital Deepening and Non-Balanced Economic Growth," 2006 Meeting Papers 207, Society for Economic Dynamics.
- 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.
- 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.
- 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.
- H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(2), pages 117-124.
- Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
- 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.
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 you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.