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

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Listed author(s):
  • 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
DOI: 10.1016/j.jedc.2013.06.006
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. Growiec, Jakub, 2013. "Factor-augmenting technology choice and monopolistic competition," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 86-94.
  2. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(2), pages 117-124.
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  6. 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.
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  9. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
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  11. 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.
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  14. Growiec, Jakub, 2008. "Production functions and distributions of unit factor productivities: Uncovering the link," Economics Letters, Elsevier, vol. 101(1), pages 87-90, October.
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  16. 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.
  17. Daron Acemoglu, 2007. "Equilibrium Bias of Technology," Econometrica, Econometric Society, vol. 75(5), pages 1371-1409, 09.
  18. 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.
  19. 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.
  20. 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.
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Cited by:

  1. Miguel A. Leon-Ledesma & Mathan Satchi, 2015. "Appropriate Technology and Balanced Growth," Studies in Economics 1614, School of Economics, University of Kent, revised Nov 2016.
  2. Jakub Growiec & Jakub Muck, 2015. "Isoelastic Elasticity of Substitution Production Functions," Discussion Papers 15-13, University of Copenhagen. Department of Economics.
  3. Growiec, Jakub, 2013. "Factor-augmenting technology choice and monopolistic competition," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 86-94.
  4. 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.
  5. HIRAGUCHI Ryoji, 2015. "On the Stochastic Macro-equilibrium and a Microfoundation for the Production Function," Discussion papers 15040, Research Institute of Economy, Trade and Industry (RIETI).
  6. McAdam, Peter & Muck, Jakub & Growiec, Jakub, 2015. "Endogenous labor share cycles: theory and evidence," Working Paper Series 1765, European Central Bank.
  7. Growiec, Jakub, 2015. "On the modeling of size distributions when technologies are complex," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 1-8.
  8. Miguel A. Leon-Ledesma & Mathan Satchi, 2015. "Appropriate Technology and the Labour Share," Studies in Economics 1505, School of Economics, University of Kent, revised Nov 2016.
  9. Zhu, Yanyuan & Feng, Xiao, 2014. "China's national production function since 1997: A reinvestigation," Working Papers in Economics 2014,2, Universität der Bundeswehr München, Economic Research Group.

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