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Balanced Growth Despite Uzawa

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  • Gene M. Grossman
  • Elhanan Helpman
  • Ezra Oberfield
  • Thomas Sampson

Abstract

The evidence for the United States points to balanced growth despite falling investment-good prices and an elasticity of substitution between capital and labor less than one. This is inconsistent with the Uzawa Growth Theorem. We extend Uzawa's theorem to show that the introduction of human capital accumulation in the standard way does not resolve the puzzle. However, balanced growth is possible if schooling is endogenous and capital is more complementary with schooling than with raw labor. We describe balanced growth paths for a variety of neoclassical growth models with capital-augmenting technological progress and endogenous schooling. The balanced growth path in an overlapping-generations model in which individuals choose the duration of their education matches key features of the U.S. economic record.

Suggested Citation

  • Gene M. Grossman & Elhanan Helpman & Ezra Oberfield & Thomas Sampson, 2016. "Balanced Growth Despite Uzawa," NBER Working Papers 21861, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:21861
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    1. Berthold Herrendorf & Christopher Herrington & Ákos Valentinyi, 2015. "Sectoral Technology and Structural Transformation," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(4), pages 104-133, October.
    2. Lilia Maliar & Serguei Maliar, 2011. "Capital–Skill Complementarity and Balanced Growth," Economica, London School of Economics and Political Science, vol. 78(310), pages 240-259, April.
    3. Gene M. Grossman & Elhanan Helpman & Ezra Oberfield & Thomas Sampson, 2017. "Balanced Growth Despite Uzawa," American Economic Review, American Economic Association, vol. 107(4), pages 1293-1312, April.
    4. repec:ucp:bknber:9780226304557 is not listed on IDEAS
    5. Brent Neiman, 2014. "The Global Decline of the Labor Share," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 61-103.
    6. Robert Z. Lawrence, 2015. "Recent Declines in Labor's Share in US Income: A Preliminary Neoclassical Account," NBER Working Papers 21296, National Bureau of Economic Research, Inc.
    7. Jacob A. Mincer, 1974. "Introduction to "Schooling, Experience, and Earnings"," NBER Chapters, in: Schooling, Experience, and Earnings, pages 1-4, National Bureau of Economic Research, Inc.
    8. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    9. Claudia Goldin & Lawrence F. Katz, 2007. "Long-Run Changes in the Wage Structure: Narrowing, Widening, Polarizing," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 38(2), pages 135-168.
    10. Jason G. Cummins & Giovanni L. Violante, 2002. "Investment-Specific Technical Change in the US (1947-2000): Measurement and Macroeconomic Consequences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(2), pages 243-284, April.
    11. Blinder, Alan S & Weiss, Yoram, 1976. "Human Capital and Labor Supply: A Synthesis," Journal of Political Economy, University of Chicago Press, vol. 84(3), pages 449-472, June.
    12. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    13. 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.
    14. Jones, C.I., 2016. "The Facts of Economic Growth," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 3-69, Elsevier.
    15. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1.
    16. Michael Elsby & Bart Hobijn & Ayseful Sahin, 2013. "The Decline of the U.S. Labor Share," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 44(2 (Fall)), pages 1-63.
    17. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
    18. 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.
    19. Beckmann, Martin J., 1977. "Management production functions and the theory of the firm," Journal of Economic Theory, Elsevier, vol. 14(1), pages 1-18, February.
    20. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    21. Takayama, Akira, 1974. "On Biased Technological Progress," American Economic Review, American Economic Association, vol. 64(4), pages 631-639, September.
    22. E. Sheshinski, 1967. "Balanced Growth and Stability in the Johansen Vintage Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 239-248.
    23. DiCecio, Riccardo, 2009. "Sticky wages and sectoral labor comovement," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 538-553, March.
    24. Charles I. Jones & Paul M. Romer, 2010. "The New Kaldor Facts: Ideas, Institutions, Population, and Human Capital," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 224-245, January.
    25. Hui He & Zheng Liu, 2008. "Investment-Specific Technological Change, Skill Accumulation, and Wage Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 314-334, April.
    26. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 117-124.
    27. Ekkehart Schlicht, 2006. "A Variant of Uzawa's Theorem," Economics Bulletin, AccessEcon, vol. 5(6), pages 1-5.
    28. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    29. 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.
    30. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    31. Robert S. Chirinko & Debdulal Mallick, 2014. "The Substitution Elasticity, Factor Shares, Long-Run Growth, and the Low-Frequency Panel Model," CESifo Working Paper Series 4895, CESifo.
    32. Robert J. Gordon, 1990. "The Measurement of Durable Goods Prices," NBER Books, National Bureau of Economic Research, Inc, number gord90-1.
    33. Robert S. Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital--Labor Substitution Elasticity," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 587-594, October.
    34. F. A. Lutz, 1961. "The Theory of Capital," International Economic Association Series, Palgrave Macmillan, number 978-1-349-08452-4 edited by D. C. Hague.
    35. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    36. 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.
    37. David H. Autor & Lawrence F. Katz & Alan B. Krueger, 1998. "Computing Inequality: Have Computers Changed the Labor Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(4), pages 1169-1213.
    38. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    39. Chirinko, Robert S. & Fazzari, Steven M. & Meyer, Andrew P., 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital–Labor Substitution Elasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(4), pages 587-594.
    40. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    JEL classification:

    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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