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Are Ideas Really Getting Harder To Find? R&D Capital and the Idea Production Function

Author

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  • Jakub Growiec
  • Peter McAdam
  • Jakub Mućk

Abstract

We supplement the 'Idea Production Function' (IPF) with measures of R&D capital. We construct a time series of R&D capital stock in the US (1968-2019) based on cumulated R&D investment. We estimate the IPF with patent applications as R&D output, allowing for a flexible treatment of unit productivity of R&D capital and R&D labor. We find that the elasticity of substitution between R&D input factors is 0.7-0.8 and significantly below unity. This implies that R&D capital is an essential factor in producing ideas, complementary to R&D labor. We also identify a systematic positive trend in R&D labor productivity at about 1% per year on average and a cyclical trend in R&D capital productivity. Our results suggest that instead of 'ideas getting harder to find', there is an increasing scarcity of R&D capital needed to find them.

Suggested Citation

  • Jakub Growiec & Peter McAdam & Jakub Mućk, 2022. "Are Ideas Really Getting Harder To Find? R&D Capital and the Idea Production Function," KAE Working Papers 2022-071, Warsaw School of Economics, Collegium of Economic Analysis.
  • Handle: RePEc:sgh:kaewps:2022071
    DOI: 10.33119/kaewps2022071
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    File URL: https://hdl.handle.net/20.500.12182/1128
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    1. Robert J. Gordon, 2016. "The Rise and Fall of American Growth: The U.S. Standard of Living since the Civil War," Economics Books, Princeton University Press, edition 1, number 10544, December.
    2. James B. Ang & Jakob B. Madsen, 2011. "Can Second-Generation Endogenous Growth Models Explain the Productivity Trends and Knowledge Production in the Asian Miracle Economies?," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1360-1373, November.
    3. John G. Fernald & J. Christina Wang, 2016. "Why Has the Cyclicality of Productivity Changed? What Does It Mean?," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 465-496, October.
    4. Venturini, Francesco, 2012. "Looking into the black box of Schumpeterian growth theories: An empirical assessment of R&D races," European Economic Review, Elsevier, vol. 56(8), pages 1530-1545.
    5. Bresnahan, Timothy F. & Trajtenberg, M., 1995. "General purpose technologies 'Engines of growth'?," Journal of Econometrics, Elsevier, vol. 65(1), pages 83-108, January.
    6. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    7. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    8. Charles I. Jones, 2022. "The Past and Future of Economic Growth: A Semi-Endogenous Perspective," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 125-152, August.
    9. Grossman, Gene M. & Helpman, Elhanan & Oberfield, Ezra & Sampson, Thomas, 2017. "The productivity slowdown and the declining labor share: a neoclassical exploration," LSE Research Online Documents on Economics 86597, London School of Economics and Political Science, LSE Library.
    10. Charles I. Jones, 1999. "Growth: With or Without Scale Effects?," American Economic Review, American Economic Association, vol. 89(2), pages 139-144, May.
    11. Ajay Agrawal & Joshua Gans & Avi Goldfarb, 2019. "The Economics of Artificial Intelligence: An Agenda," NBER Books, National Bureau of Economic Research, Inc, number agra-1, January.
    12. Aum, Sangmin & Lee, Sang Yoon (Tim) & Shin, Yongseok, 2018. "Computerizing industries and routinizing jobs: Explaining trends in aggregate productivity," Journal of Monetary Economics, Elsevier, vol. 97(C), pages 1-21.
    13. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    14. Jakob Madsen, 2008. "Semi-endogenous versus Schumpeterian growth models: testing the knowledge production function using international data," Journal of Economic Growth, Springer, vol. 13(1), pages 1-26, March.
    15. John G. Fernald & Robert E. Hall & James H. Stock & Mark W. Watson, 2017. "The Disappointing Recovery of Output after 2009," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 1-81.
    16. Ramey, Valerie A., 2020. "Secular stagnation or technological lull?," Journal of Policy Modeling, Elsevier, vol. 42(4), pages 767-777.
    17. Agrawal, Ajay & Gans, Joshua & Goldfarb, Avi (ed.), 2019. "The Economics of Artificial Intelligence," National Bureau of Economic Research Books, University of Chicago Press, number 9780226613338, August.
    18. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    19. Bernstein, Jeffrey I. & Mamuneas, Theofanis P., 2006. "R&D depreciation, stocks, user costs and productivity growth for US R&D intensive industries," Structural Change and Economic Dynamics, Elsevier, vol. 17(1), pages 70-98, January.
    20. Joonkyung Ha & Peter Howitt, 2007. "Accounting for Trends in Productivity and R&D: A Schumpeterian Critique of Semi‐Endogenous Growth Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 733-774, June.
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    Keywords

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    JEL classification:

    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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