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Flexible Transitional Dynamics in a Non-Scale Fully Endogenous Growth Model

Author

Listed:
  • Pedro Mazeda Gil

    (University of Porto, Faculty of Economics, and cef.up)

  • André Almeida,

    (University of Porto, Faculty of Economics)

  • Sofia B.S.D. Castro,

    (University of Porto, Faculty of Economics, and CMUP)

Abstract

This paper develops a non-scale growth model of physical capital accumulation and two types of lab-equipment R&D, where both the intensive and extensive margins of growth are fully endogenous. We study analytically the long-run equilibrium stability and transitional dynamics properties of the model, and establish meaningful sufficient conditions for saddle-path stability. We relate the different combinations of initial conditions of the dynamical system with the observation of monotonic versus non-monotonic transitional dynamics. Our model is able to predict monotonic, hump-shaped and inverted hump-shaped trajectories, therefore encompassing the evidence reported by the empirical literature for distinct subsets of countries.

Suggested Citation

  • Pedro Mazeda Gil & André Almeida, & Sofia B.S.D. Castro,, 2015. "Flexible Transitional Dynamics in a Non-Scale Fully Endogenous Growth Model," CEF.UP Working Papers 1503, Universidade do Porto, Faculdade de Economia do Porto.
  • Handle: RePEc:por:cetedp:1503
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    References listed on IDEAS

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    1. Oded Galor & Omer Moav, 2002. "Natural Selection and the Origin of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1133-1191.
    2. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2013. "The past and future of knowledge-based growth," Journal of Economic Growth, Springer, vol. 18(4), pages 411-437, December.
    3. Kosempel, Stephen, 2004. "A theory of development and long run growth," Journal of Development Economics, Elsevier, vol. 75(1), pages 201-220, October.
    4. Lutz G. Arnold, 2000. "Endogenous technological change: a note on stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 219-226.
    5. Eicher, Theo S. & Turnovsky, Stephen J., 2001. "Transitional dynamics in a two-sector non-scale growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 25(1-2), pages 85-113, January.
    6. Jones, Charles I & Williams, John C, 2000. "Too Much of a Good Thing? The Economics of Investment in R&D," Journal of Economic Growth, Springer, vol. 5(1), pages 65-85, March.
    7. 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.
    8. Gil, Pedro Mazeda, 2010. "Stylised facts and other empirical evidence on firm dynamics, business cycle and growth," Research in Economics, Elsevier, vol. 64(2), pages 73-80, June.
    9. Zeng, Jinli, 2003. "Reexamining the interaction between innovation and capital accumulation," Journal of Macroeconomics, Elsevier, vol. 25(4), pages 541-560, December.
    10. Holger Strulik, 2007. "Too Much of a Good Thing? The Quantitative Economics of R&D‐driven Growth Revisited," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(2), pages 369-386, June.
    11. Francisco L. Rivera-Batiz & Luis A. Rivera-Batiz, 2018. "Economic Integration and Endogenous Growth," World Scientific Book Chapters, in: Francisco L Rivera-Batiz & Luis A Rivera-Batiz (ed.), International Trade, Capital Flows and Economic Development, chapter 1, pages 3-32, World Scientific Publishing Co. Pte. Ltd..
    12. Fiaschi, Davide & Lavezzi, Andrea Mario, 2007. "Nonlinear economic growth: Some theory and cross-country evidence," Journal of Development Economics, Elsevier, vol. 84(1), pages 271-290, September.
    13. Sequeira, Tiago Neves, 2011. "R&D Spillovers In An Endogenous Growth Model With Physical Capital, Human Capital, And Varieties," Macroeconomic Dynamics, Cambridge University Press, vol. 15(2), pages 223-239, April.
    14. 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.
    15. Fiaschi, Davide & Lavezzi, Andrea Mario, 2003. "Distribution Dynamics and Nonlinear Growth," Journal of Economic Growth, Springer, vol. 8(4), pages 379-401, December.
    16. Ciccone, Antonio & Matsuyama, Kiminori, 1996. "Start-up costs and pecuniary externalities as barriers to economic development," Journal of Development Economics, Elsevier, vol. 49(1), pages 33-59, April.
    17. Paulo Brito & Huw Dixon, 2009. "Entry and the accumulation of capital: A two state variable extension to the Ramsey model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(4), pages 333-357, December.
    18. Arnold, Lutz G., 1998. "Growth, Welfare, and Trade in an Integrated Model of Human-Capital Accumulation and Research," Journal of Macroeconomics, Elsevier, vol. 20(1), pages 81-105, January.
    19. Arnold, Lutz G. & Kornprobst, Wolfgang, 2008. "Comparative Statics And Dynamics Of The Romer R&D Growth Model With Quality Upgrading," Macroeconomic Dynamics, Cambridge University Press, vol. 12(5), pages 702-716, November.
    20. Jakub Growiec & Ingmar Schumacher, 2013. "Technological opportunity, long-run growth, and convergence," Oxford Economic Papers, Oxford University Press, vol. 65(2), pages 323-351, April.
    21. Howitt, Peter & Aghion, Philippe, 1998. "Capital Accumulation and Innovation as Complementary Factors in Long-Run Growth," Journal of Economic Growth, Springer, vol. 3(2), pages 111-130, June.
    22. Brito, Paulo & Dixon, Huw, 2013. "Fiscal policy, entry and capital accumulation: Hump-shaped responses," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 2123-2155.
    23. Sequeira Tiago Neves & Ferreira-Lopes Alexandra & Gomes Orlando, 2014. "A growth model with qualities, varieties, and human capital: stability and transitional dynamics," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 18(5), pages 1-13, December.
    24. Peretto, Pietro F, 1998. "Technological Change and Population Growth," Journal of Economic Growth, Springer, vol. 3(4), pages 283-311, December.
    25. Gil, Pedro Mazeda & Brito, Paulo & Afonso, Oscar, 2013. "Growth And Firm Dynamics With Horizontal And Vertical R&D," Macroeconomic Dynamics, Cambridge University Press, vol. 17(7), pages 1438-1466, October.
    26. Sedgley, Norman & Elmslie, Bruce, 2013. "The Dynamic Properties Of Endogenous Growth Models," Macroeconomic Dynamics, Cambridge University Press, vol. 17(5), pages 1118-1134, July.
    27. Maddison, Angus, 1992. " A Long-Run Perspective on Saving," Scandinavian Journal of Economics, Wiley Blackwell, vol. 94(2), pages 181-196.
    28. Ana Balcão Reis & Tiago Neves Sequeira, 2007. "Human Capital and Overinvestment in R&D," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(3), pages 573-591, September.
    29. Gómez Manuel A, 2005. "Transitional Dynamics in an Endogenous Growth Model with Physical Capital, Human Capital and R&D," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(1), pages 1-20, March.
    30. Norman Loayza & Klaus Schmidt-Hebbel & Luis Servén, 2000. "Saving in Developing Countries: An Overview," The World Bank Economic Review, World Bank, vol. 14(3), pages 393-414, September.
    31. 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.
    32. Geroski, P. A., 1995. "What do we know about entry?," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 421-440, December.
    33. Papageorgiou, Chris & Perez-Sebastian, Fidel, 2006. "Dynamics in a non-scale R&D growth model with human capital: Explaining the Japanese and South Korean development experiences," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 901-930, June.
    34. Peter Howitt, 1999. "Steady Endogenous Growth with Population and R & D Inputs Growing," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 715-730, August.
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    More about this item

    Keywords

    Keywords: endogenous growth; non-monotonic transitional dynamics; R&D; lab equipment; physical capital;
    All these keywords.

    JEL classification:

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

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