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Innovation, inequality and a golden rule for growth in an economy with Cobb-Douglas function and an R&D sector

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Abstract

The innovative approach presented introduces a modified neoclassical growth model which includes a new bias of technological progress in a quasi-endogenous growth model in which part of labor is used in the research & development sector. The combination of a macroeconomic production function and a new progress function, plus the assumption that the output elasticity of capital is positively influenced by the size of the R&D sector, sheds new light on innovation and growth as well as income inequality: Thus there is a new approach for explaining Piketty’s historical findings of a medium term rise of the capital income share in industrialized countries – both in the earlier and later part of the 19th century and in 1990–2010. A rising share of capital income can be explained within this approach by the increase in the output elasticity of capital, which has been developed in a new way, namely in the context of R&D. In the approach presented herein, the golden rule issues are also highlighted and it is shown that choosing the right size of the R&D sector will bring about maximum sustainable per capita consumption. While the basic new model is presented for the case of a closed economy, one could easily accommodate both trade and foreign direct investment and thereby get a better understanding of complex international investment, trade and FDI dynamics – including with respect to the envisaged Transatlantic Trade and Investment Partnership.

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Acknowledgments

I am grateful for the excellent research support of Tony Irawan, Vladimir Udalov, Samir Kadiric, David Hanrahan and Jens Perret, EIIW; I also appreciate discussion with Robert Lawrence, Kennedy School/Harvard University, particularly on the links between trade and innovation dynamics and the perspectives for TTIP. Suggestions by Holger Wolf, Georgetown University, are also appreciated; I have benefited from a previous research stay at Sciences Po, Paris, France. The usual disclaimer applies.

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Correspondence to Paul J. J. Welfens.

Appendices

Appendix 1: Perspectives on meeting the golden rule in selected countries (difference refers to real GDP growth minus real interest rate)

“Real interest rate is the lending interest rate adjusted for inflation as measured by the GDP deflator. The terms and conditions attached to lending rates differ by country, however, limiting their comparability.”

Source: World Bank

Appendix 2

Table 9 Total tax revenue as % of GDP

Appendix 3: Info on tax revenue

Table 10 Regression results

Appendix 4: The link between TFP growth and the R&D-GDP

Table 10 presents a panel data analysis on the impact of R&D-GDP ratio on the growth rate of total factor productivity of the European countries. Due to missing values on the database, the regression covers 21 European countries during the period 2003–2012. All the data is collected from Eurostats and AMECO Database.

Table 11 Total tax revenue as % of GDP

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Welfens, P.J.J. Innovation, inequality and a golden rule for growth in an economy with Cobb-Douglas function and an R&D sector. Int Econ Econ Policy 12, 469–496 (2015). https://doi.org/10.1007/s10368-015-0314-2

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  • DOI: https://doi.org/10.1007/s10368-015-0314-2

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