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When economic growth is less than exponential

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  • Christian Groth

    (University of Copenhagen)

  • Karl-Josef Koch

    (University of Siegen)

  • Thomas M. Steger

    (University of Leipzig)

Abstract

This paper argues that growth theory needs a more general notion of “regularity” than that of exponential growth. We suggest that paths along which the rate of decline of the growth rate is proportional to the growth rate itself deserve attention. This opens up for considering a richer set of parameter combinations than in standard growth models. And it avoids the usual oversimplistic dichotomy of either exponential growth or stagnation. Allowing zero population growth in three different growth models (the Jones R&D-based model, a learning-by-doing model, and an embodied technical change model) serves as illustrations that a continuum of “regular” growth processes fill the whole range between exponential growth and complete stagnation.

Suggested Citation

  • Christian Groth & Karl-Josef Koch & Thomas M. Steger, 2009. "When economic growth is less than exponential," MAGKS Papers on Economics 200931, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    • Handle: RePEc:mar:magkse:200931
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    1. Raouf Boucekkine & Fernando Del Río & Omar Licandro, 2003. "Embodied Technological Change, Learning‐by‐doing and the Productivity Slowdown," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(1), pages 87-98, March.
    2. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    3. Alwyn Young, 1998. "Growth without Scale Effects," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 41-63, February.
    4. Pezzey, John C.V., 2004. "Exact measures of income in a hyperbolic economy," Environment and Development Economics, Cambridge University Press, vol. 9(4), pages 473-484, August.
    5. Mitra, Tapan, 1983. "Limits on Population Growth under Exhaustible Resource Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 155-168, February.
    6. Jakub Growiec, 2007. "Beyond the Linearity Critique: The Knife-edge Assumption of Steady-state Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 489-499, June.
    7. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 29-45.
    8. Hendrik Hakenes & Andreas Irmen, 2007. "On the long-run evolution of technological knowledge," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 171-180, January.
    9. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    10. 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.
    11. Jones, Charles I., 2005. "Growth and Ideas," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 16, pages 1063-1111, Elsevier.
    12. Robert M. Solow, 1994. "Perspectives on Growth Theory," Journal of Economic Perspectives, American Economic Association, vol. 8(1), pages 45-54, Winter.
    13. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    14. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-1157, December.
    15. Alvarez-Pelaez, Maria J. & Groth, Christian, 2005. "Too little or too much R&D?," European Economic Review, Elsevier, vol. 49(2), pages 437-456, February.
    16. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    17. Lutz G. Arnold, 2006. "The Dynamics of the Jones R&D Growth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 143-152, January.
    18. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    19. Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, vol. 67(5), pages 972-974, December.
    20. Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2007. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Journal of Environmental Economics and Management, Elsevier, vol. 53(2), pages 213-229, March.
    21. Michael Kremer, 1993. "Population Growth and Technological Change: One Million B.C. to 1990," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 681-716.
    22. Bennett T. McCallum, 1996. "Neoclassical vs. endogenous growth analysis: an overview," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 41-71.
    23. Philippe Aghion & Steven Durlauf (ed.), 2005. "Handbook of Economic Growth," Handbook of Economic Growth, Elsevier, edition 1, volume 1, number 1.
    24. Growiec, Jakub, 2010. "Knife-edge conditions in the modeling of long-run growth regularities," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1143-1154, December.
    25. Solow, Robert M., 2000. "Growth Theory: An Exposition," OUP Catalogue, Oxford University Press, edition 2, number 9780195109030.
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    Cited by:

    1. Jakub Growiec, 2020. "What Will Drive Long-Run Growth in the Digital Age?," KAE Working Papers 2020-054, Warsaw School of Economics, Collegium of Economic Analysis.
    2. Christian Groth & Ronald Wendner, 2011. "Learning by Investing, Embodiment, and Speed of Convergence," EPRU Working Paper Series 2011-01, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics.
    3. Hof, Franz X. & Prettner, Klaus, 2019. "The quest for status and R&D-based growth," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 290-307.
    4. Klaus Prettner & David Canning, 2014. "Increasing life expectancy and optimal retirement in general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 191-217, May.
    5. Grossmann, Volker, 2008. "Entrepreneurial Innovation and Sustained Long-Run Growth without Weak or Strong Scale Effects," IZA Discussion Papers 3389, Institute of Labor Economics (IZA).
    6. Cabo, Francisco & Martín-Herrán, Guiomar & Martínez-García, María Pilar, 2016. "Unbounded growth in the Neoclassical growth model with non-constant discounting," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 93-104.
    7. Tom Holden, 2010. "Products, patents and productivity persistence: A DSGE model of endogenous growth," Economics Series Working Papers 512, University of Oxford, Department of Economics.
    8. Bugajewski, Dariusz & Maćkowiak, Piotr, 2015. "On knife-edge conditions with unbounded growth," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 274-283.
    9. Sasaki, Hiroaki, 2020. "Is growth declining in the service economy?," Structural Change and Economic Dynamics, Elsevier, vol. 53(C), pages 26-38.
    10. Groth, Christian & Wendner, Ronald, 2014. "Embodied learning by investing and speed of convergence," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 245-269.
    11. Kruse-Andersen, Peter Kjær, 2023. "Directed technical change, environmental sustainability, and population growth," Journal of Environmental Economics and Management, Elsevier, vol. 122(C).
    12. Bazhanov, Andrei V., 2013. "Constant-utility paths in a resource-based economy," Resource and Energy Economics, Elsevier, vol. 35(3), pages 342-355.
    13. Prettner, Klaus & Strulik, Holger, 2017. "The lost race against the machine: Automation, education and inequality in an R&D-based growth model," Hohenheim Discussion Papers in Business, Economics and Social Sciences 08-2017, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    14. Growiec, Jakub, 2010. "Knife-edge conditions in the modeling of long-run growth regularities," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1143-1154, December.
    15. Aisa, Rosa & Cabeza, Josefina & Martin, Jorge, 2023. "Automation and aging: The impact on older workers in the workforce," The Journal of the Economics of Ageing, Elsevier, vol. 26(C).
    16. Jakub Growiec & Christian Groth, 2012. "A Note on Aggregating Human Capital Across Heterogeneous Cohorts," EcoMod2012 4193, EcoMod.
    17. Grossmann, Volker, 2009. "Entrepreneurial innovation and economic growth," Journal of Macroeconomics, Elsevier, vol. 31(4), pages 602-613, December.
    18. Antonio Minniti & Carmelo Parello & Paul Segerstrom, 2013. "A Schumpeterian growth model with random quality improvements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 755-791, March.
    19. Tom Holden, 2012. "Medium-frequency cycles and the remarkable near trend-stationarity of output," School of Economics Discussion Papers 1412, School of Economics, University of Surrey.
    20. Jaime Alonso-Carrera & Carlos Miguel & Baltasar Manzano, 2019. "Economic Growth and Environmental Degradation When Preferences are Non-homothetic," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(3), pages 1011-1036, November.

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    More about this item

    Keywords

    Quasi-arithmetic growth; Regular growth; Semi-endogenous growth; Knife-edge restrictions; Learning by doing; Embodied technical change;
    All these keywords.

    JEL classification:

    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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