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The Shape of Production Function and the Direction of Technical Change

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Charles I. Jones

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Abstract

This paper views the standard production function in macroeconomics as a reduced form and derives its properties from microfoundations. The shape of this production function is governed by the distribution of ideas. If that distribution is Pareto, then two results obtain: the global production function is Cobb-Douglas, and technical change in the long run is labor-augmenting. Kortum (1997) showed that Pareto distributions are necessary if search-based idea models are to exhibit steady-state growth. Here we show that this same assumption delivers the additional results about the shape of the production function and the direction of technical change.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 10457.

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Date of creation: May 2004
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Handle: RePEc:nbr:nberwo:10457

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Find related papers by JEL classification:
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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  1. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
  2. Esteban Rossi-Hansberg & Mark L. J. Wright, 2003. "Urban structure and growth," Discussion Paper / Institute for Empirical Macroeconomics 141, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  3. Juan Carlos Cordoba, 2003. "On the Distribution of City Sizes," Urban/Regional 0302002, EconWPA. [Downloadable!]
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  4. Simon Gilchrist & John C. Williams, 2000. "Putty-Clay and Investment: A Business Cycle Analysis," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 928-960, October. [Downloadable!] (restricted)
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  5. Dietmar Harhoff & Frederic M. Scherer & Katrin Vopel, 1997. "Exploring the Tail of Patented Invention Value Distributions," CIG Working Papers FS IV 97-27, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG). [Downloadable!]
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  6. Ricardo Lagos, 2006. "A model of TFP," Staff Report 345, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  7. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August. [Downloadable!] (restricted)
  8. Chung, Kee H & Cox, Raymond A K, 1994. "A Stochastic Model of Superstardom: An Application of the Yule Distribution," The Review of Economics and Statistics, MIT Press, vol. 76(4), pages 771-75, November. [Downloadable!] (restricted)
  9. Karl Whelan, 2001. "A two-sector approach to modeling U.S. NIPA data," Finance and Economics Discussion Series 2001-04, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  10. Emmanuel M. Drandakis & Edmond S. Phelps, 1965. "A Model of Induced Invention, Growth and Distribution," Cowles Foundation Discussion Papers 186, Cowles Foundation, Yale University. [Downloadable!]
  11. Grabowski, Henry, 2002. "Patents and New Product Development in the Pharmaceutical and Biotechnology Industries," Working Papers 02-25, Duke University, Department of Economics. [Downloadable!]
  12. Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000. "Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis," Econometrica, Econometric Society, vol. 68(5), pages 1029-1054, September.
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  13. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-62, June. [Downloadable!] (restricted)
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  14. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April. [Downloadable!] (restricted)
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