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Endogenous R&D elasticities of productivity functions and BERD bias

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  • Ziesemer, Thomas

    (Mt Economic Research Inst on Innov/Techn, RS: GSBE MORSE)

Abstract

Macroeconomic productivity is modelled as a Cobb-Douglas function of private and public R&D stocks in recent literature. The slope parameters of a growth rate version may change over time and with circumstances. Using the method of functional-coefficient regression, we show that human capital, GDP (per worker), services and defence R&D (both % GDP), lags of domestic and foreign private and public R&D, and lagged labour-augmenting technical change, all in growth rates, change the elasticities of productivity. The result is a panel data set of regression coefficients representing elasticities of productivity. Eventually, the panel average of the productivity elasticities of domestic and foreign private R&D goes to constant values; elasticities of public R&D go down slightly. This may contribute to an explanation of the productivity slowdown and why private R&D has been expanded relative to public R&D in recent years.

Suggested Citation

  • Ziesemer, Thomas, 2025. "Endogenous R&D elasticities of productivity functions and BERD bias," MERIT Working Papers 2025-017, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
  • Handle: RePEc:unm:unumer:2025017
    DOI: 10.53330/HGYA6809
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    References listed on IDEAS

    as
    1. Timo Boppart & Franziska J. Weiss, 2013. "Non-homothetic preferences and industry directed technical change," ECON - Working Papers 123, Department of Economics - University of Zurich.
    2. Goel, Rajeev K. & Payne, James E. & Ram, Rati, 2008. "R&D expenditures and U.S. economic growth: A disaggregated approach," Journal of Policy Modeling, Elsevier, vol. 30(2), pages 237-250.
    3. Timo Boppart, 2014. "Structural Change and the Kaldor Facts in a Growth Model With Relative Price Effects and Non‐Gorman Preferences," Econometrica, Econometric Society, vol. 82, pages 2167-2196, November.
    4. Seung C. Ahn & Alex R. Horenstein, 2013. "Eigenvalue Ratio Test for the Number of Factors," Econometrica, Econometric Society, vol. 81(3), pages 1203-1227, May.
    5. Rahul Ghosal & Arnab Maity & Timothy Clark & Stefano B. Longo, 2020. "Variable selection in functional linear concurrent regression," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 69(3), pages 565-587, June.
    6. John Fernald & Robert Inklaar & Dimitrije Ruzic, 2025. "The Productivity Slowdown in Advanced Economies: Common Shocks or Common Trends?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 71(1), February.
    7. Busse, Matthias & Hefeker, Carsten, 2007. "Political risk, institutions and foreign direct investment," European Journal of Political Economy, Elsevier, vol. 23(2), pages 397-415, June.
    8. Ted Juhl, 2005. "Functional-coefficient models under unit root behaviour," Econometrics Journal, Royal Economic Society, vol. 8(2), pages 197-213, July.
    9. Zongwu Cai & Linna Chen & Ying Fang, 2015. "Semiparametric Estimation of Partially Varying-Coefficient Dynamic Panel Data Models," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 695-719, December.
    10. Ciaffi, Giovanna & Deleidi, Matteo & Di Bucchianico, Stefano, 2024. "Stagnation despite ongoing innovation: Is R&D expenditure composition a missing link? An empirical analysis for the US (1948–2019)," Technological Forecasting and Social Change, Elsevier, vol. 206(C).
    11. Herwartz, Helmut & Walle, Yabibal M., 2014. "Openness and the finance-growth nexus," Journal of Banking & Finance, Elsevier, vol. 48(C), pages 235-247.
    12. Van Elk, Roel & Verspagen, Bart & Ter Weel, Bas & Van der Wiel, Karen & Wouterse, Bram, 2015. "A macroeconomic analysis of the returns to public R&D investments," MERIT Working Papers 2015-042, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    13. Herrendorf, Berthold & Rogerson, Richard & Valentinyi, Ákos, 2014. "Growth and Structural Transformation," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 6, pages 855-941, Elsevier.
    14. Tu, Yundong & Wang, Ying, 2022. "Spurious functional-coefficient regression models and robust inference with marginal integration," Journal of Econometrics, Elsevier, vol. 229(2), pages 396-421.
    15. Luc L. G. Soete & Bart Verspagen & Thomas H. W. Ziesemer, 2020. "The productivity effect of public R&D in the Netherlands," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 29(1), pages 31-47, January.
    16. Thomas H. W. Ziesemer, 2021. "The Effects of R&D Subsidies and Publicly Performed R&D on Business R&D: A Survey," Hacienda Pública Española / Review of Public Economics, IEF, vol. 236(1), pages 171-205, March.
    17. Wang, Ying & Phillips, Peter C.B., 2025. "Limit theory for local polynomial estimation of functional coefficient models with possibly integrated regressors," Journal of Econometrics, Elsevier, vol. 249(PB).
    18. Thomas Ziesemer, 2023. "Labour-augmenting technical change data for alternative elasticities of substitution: growth, slowdown, and distribution dynamics," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 32(4), pages 449-475, May.
    19. Thomas H.W. Ziesemer, 2021. "Mission-oriented R&D and growth," Journal of Applied Economics, Taylor & Francis Journals, vol. 24(1), pages 460-477, January.
    20. Thomas H. W. Ziesemer, 2024. "Mission-oriented R&D and growth of Japan 1988–2016: a comparison with private and public R&D," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 33(2), pages 218-247, February.
    21. Jianhua Z. Huang & Haipeng Shen, 2004. "Functional Coefficient Regression Models for Non‐linear Time Series: A Polynomial Spline Approach," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 31(4), pages 515-534, December.
    22. Dierk Herzer, 2022. "An Empirical Note on the Long-Run Effects of Public and Private R&D on TFP," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 13(4), pages 3248-3264, December.
    23. Bronwyn H. Hall & Nathan Rosenberg (ed.), 2010. "Handbook of the Economics of Innovation," Handbook of the Economics of Innovation, Elsevier, edition 1, volume 1, number 1.
    24. Mario Coccia, 2010. "Public and Private Investment in R&D: Complementary Effects and Interaction with Productivity Growth [Investimento pubblico e privato: in R&S: complementarietà ed interazione con la crescita della ," Post-Print hal-03468720, HAL.
    25. Van Elk, Roel & Verspagen, Bart & Ter Weel, Bas & Van der Wiel, Karen & Wouterse, Bram, 2015. "A macroeconomic analysis of the returns to public R&D investments," MERIT Working Papers 2015-042, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    26. Deleidi, Matteo & Mazzucato, Mariana, 2021. "Directed innovation policies and the supermultiplier: An empirical assessment of mission-oriented policies in the US economy," Research Policy, Elsevier, vol. 50(2).
    27. Mosahid Khan & Kul B. Luintel, 2006. "Sources of Knowledge and Productivity: How Robust is the Relationship?," OECD Science, Technology and Industry Working Papers 2006/6, OECD Publishing.
    28. Nakamura, Alice & Nakamura, Masao, 1998. "Model specification and endogeneity," Journal of Econometrics, Elsevier, vol. 83(1-2), pages 213-237.
    29. Park, Walter G., 1998. "A theoretical model of government research and growth," Journal of Economic Behavior & Organization, Elsevier, vol. 34(1), pages 69-85, January.
    30. Roel van Elk & Bas ter Weel & Karen van der Wiel & Bram Wouterse, 2019. "Estimating the Returns to Public R&D Investments: Evidence from Production Function Models," De Economist, Springer, vol. 167(1), pages 45-87, March.
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    More about this item

    JEL classification:

    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • 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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