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The Choice of CES Production Techniques and Balanced Growth

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  • Miguel A. Leon-Ledesma

    ()

  • Mathan Satchi

    ()

Abstract

We show that allowing firms a choice of CES production techniques (via the distribution parameter between capital and labor) can result in a new class of production functions that produces short-run capital-labor complementarity but yields a long-run unit elasticity of substitution. This is shown to occur if we provide a mathematical framework for this choice that maintains strict essentiality of the production process and satisfies the requirement of unit-invariance. The class of production functions derived are consistent with a balanced growth path even in the presence of capital-augmenting technical progress. The approach yields a simple yet powerful way of introducing CES-type production functions in macroeconomic models.

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File URL: ftp://ftp.ukc.ac.uk/pub/ejr/RePEc/ukc/ukcedp/1113.pdf
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Bibliographic Info

Paper provided by Department of Economics, University of Kent in its series Studies in Economics with number 1113.

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Date of creation: May 2011
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Handle: RePEc:ukc:ukcedp:1113

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Postal: Department of Economics, University of Kent at Canterbury, Canterbury, Kent, CT2 7NP
Phone: +44 (0)1227 764000
Fax: +44 (0)1227 827850
Web page: http://www.ukc.ac.uk/economics/

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Keywords: Balanced growth; production technique; biased technology; elasticity of substitution;

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References

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  1. Klump, Rainer & Saam, Marianne, 2008. "Calibration of normalised CES production functions in dynamic models," Economics Letters, Elsevier, vol. 99(2), pages 256-259, May.
  2. 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.
  3. Lagos, R., 2001. "A Model of TFP," Working Papers 01-08, C.V. Starr Center for Applied Economics, New York University.
  4. Cristiano Cantore & Miguel León-Ledesma & Peter McAdam & Alpo Willman, 2014. "Shocking Stuff: Technology, Hours, And Factor Substitution," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 108-128, 02.
  5. Joseph Zeira, 1998. "Workers, Machines, And Economic Growth," The Quarterly Journal of Economics, MIT Press, vol. 113(4), pages 1091-1117, November.
  6. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
  7. Charles I. Jones & Dean Scrimgeour, 2008. "A New Proof of Uzawa's Steady-State Growth Theorem," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 180-182, February.
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Cited by:
  1. Jakub Growiec, 2011. "A microfoundation for normalized CES production functions with factor-augmenting technical change," National Bank of Poland Working Papers 98, National Bank of Poland, Economic Institute.
  2. Miguel A León-Ledesma & Peter McAdam & Alpo Willman, 2012. "Non-Balanced Growth and Production Technology Estimation," Studies in Economics 1204, Department of Economics, University of Kent.
  3. Cristiano Cantore & Paul Levine, 2011. "Getting Normalization Right: Dealing with 'Dimensional Constants' in Macroeconomics," School of Economics Discussion Papers 0511, School of Economics, University of Surrey.

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