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The Choice of CES Production Techniques and Balanced Growth

  • Miguel A. Leon-Ledesma

    ()

  • Mathan Satchi

    ()

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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Paper provided by School 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
Contact details of provider: Postal: School of Economics, University of Kent, Canterbury, Kent, CT2 7NP
Phone: +44 (0)1227 827497
Web page: http://www.kent.ac.uk/economics/

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  1. Zeira, Joseph, 1995. "Workers, Machines and Economic Growth," CEPR Discussion Papers 1139, C.E.P.R. Discussion Papers.
  2. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
  3. Lagos, R., 2001. "A Model of TFP," Working Papers 01-08, C.V. Starr Center for Applied Economics, New York University.
  4. 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.
  5. 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.
  6. Alpo WILLMAN & Cristiano CANTORE & Miguel LEON-LEDESMA & Peter MCADAM, . "Shocking Stuff: Technology, Hours, and Factor Substitution," EcoMod2010 259600173, EcoMod.
  7. Klump, Rainer & Saam, Marianne, 2008. "Calibration of normalised CES production functions in dynamic models," Economics Letters, Elsevier, vol. 99(2), pages 256-259, May.
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