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A microfoundation for normalized CES production functions with factor-augmenting technical change

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  • Growiec, Jakub

Abstract

Based on a tractable “endogeneous technology choice” framework, we provide a microfoundation for aggregate normalized constant elasticity of substitution (CES) production functions with non-neutral, factor-augmenting technical change. In this framework, firms are allowed to choose unit productivities of capital and labor optimally from a technology menu constructed under the assumption that unit factor productivities (UFPs) are independently Weibull-distributed. The Weibull distribution itself is also microfounded here: based on extreme value theory, it is found to be an accurate and robust approximation of the true UFP distribution if technologies consist of a large number of complementary components.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 37 (2013)
Issue (Month): 11 ()
Pages: 2336-2350

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Handle: RePEc:eee:dyncon:v:37:y:2013:i:11:p:2336-2350
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

Keywords: CES production function; Weibull distribution; Optimal technology choice; Direction of technical change; Directed R&D;

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Find related papers by JEL classification:
  • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
  • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution
  • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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  1. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2011. "The normalized CES production function: theory and empirics," Working Paper Series 1294, European Central Bank.
  2. Jakub Growiec, 2012. "Factor-augmenting technology choice and monopolistic competition," National Bank of Poland Working Papers 129, National Bank of Poland, Economic Institute.
  3. 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.
  4. 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.
  5. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
  6. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
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  9. 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.
  10. 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.
  11. 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.
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  14. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
  15. Kremer, Michael, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 551-75, August.
  16. Growiec, Jakub, 2008. "Production functions and distributions of unit factor productivities: Uncovering the link," Economics Letters, Elsevier, vol. 101(1), pages 87-90, October.
  17. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
  18. Jakub Growiec, 2007. "Beyond the Linearity Critique: The Knife-edge Assumption of Steady-state Growth," Economic Theory, Springer, vol. 31(3), pages 489-499, June.
  19. 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.
  20. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, 03.
  21. 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.
  22. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307, December.
  23. 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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Cited by:

  1. Growiec, Jakub, 2013. "Factor-augmenting technology choice and monopolistic competition," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 86-94.
  2. Jakub Growiec, 2013. "On the modeling of size distributions when technologies are complex," EcoMod2013 5611, EcoMod.
  3. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2011. "The normalized CES production function: theory and empirics," Working Paper Series 1294, European Central Bank.

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