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The Shape of Production Functions and the Direction of Technical Change

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  • Charles I. Jones

Abstract

This pai>er 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 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.

Suggested Citation

  • Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    • Handle: RePEc:oup:qjecon:v:120:y:2005:i:2:p:517-549.
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    File URL: http://hdl.handle.net/10.1093/qje/120.2.517
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    1. 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.
    2. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Urban Structure and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 597-624.
    3. Ricardo Lagos, 2006. "A Model of TFP," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 983-1007.
    4. 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 342-362, June.
    5. Whelan, Karl, 2003. "A Two-Sector Approach to Modeling U.S. NIPA Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(4), pages 627-656, August.
    6. Emmanuel M. Drandakis & Edmond S. Phelps, 1965. "A Model of Induced Invention, Growth and Distribution," Cowles Foundation Discussion Papers 186, Cowles Foundation for Research in Economics, Yale University.
    7. Grabowski, Henry, 2002. "Patents and New Product Development in the Pharmaceutical and Biotechnology Industries," Working Papers 02-25, Duke University, Department of Economics.
    8. 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).
    9. Córdoba, Juan-Carlos, 2008. "On the distribution of city sizes," Journal of Urban Economics, Elsevier, vol. 63(1), pages 177-197, January.
    10. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    11. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    12. 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.
    13. 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 771-775, November.
    14. Ann Harrison, 2022. "Has Globalization Eroded Labor’s Share? Some Cross-Country Evidence," World Scientific Book Chapters, in: Globalization, Firms, and Workers, chapter 5, pages 89-135, World Scientific Publishing Co. Pte. Ltd..
    15. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
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    More about this item

    JEL classification:

    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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