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 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 clear-cut distinction between the direction of R&D and the direction of technical change actually observed in the economy, which are distinct concepts. Finally, 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.
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- 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.
- 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 & 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.
- 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.
- 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 1330-1357, September.
- 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.
- Daron Acemoglu, 2003.
"Labor- And Capital-Augmenting Technical Change,"
Journal of the European Economic Association,
MIT Press, vol. 1(1), pages 1-37, 03.
- de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, 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.
- 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.
- 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.
- Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
- Caselli, Francesco & Coleman II, Wilbur John, 2000.
"The World Technology Frontier,"
CEPR Discussion Papers
2584, C.E.P.R. Discussion Papers.
- Growiec, Jakub, 2008. "Production functions and distributions of unit factor productivities: Uncovering the link," Economics Letters, Elsevier, vol. 101(1), pages 87-90, October.
- 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.
- 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.
- Klump, Rainer & McAdam, Peter & Willman, Alpo, 2011. "The normalized CES production function: theory and empirics," Working Paper Series 1294, European Central Bank.
- Daron Acemoglu, 2005.
"Equilibrium Bias of Technology,"
NBER Working Papers
11845, National Bureau of Economic Research, Inc.
- 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).
- 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.
- 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.
- 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.
- Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
- de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307-1307, December.
- Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
- 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.
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