IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v108y2015icp184-214.html
   My bibliography  Save this article

Takeoff vs. stagnation in endogenous recombinant growth models

Author

Listed:
  • Privileggi, Fabio

Abstract

This paper concludes the study of transition paths in the continuous-time recombinant endogenous growth model by providing numerical methods to estimate the threshold initial value of capital (a Skiba-type point) above which the economy takes off toward sustained growth in the long run, while it is doomed to stagnation otherwise. The model is based on the setting first introduced by Tsur and Zemel and then further specified by Privileggi, in which knowledge evolves according to the Weitzman recombinant process. We pursue a direct approach based on the comparison of welfare estimations along optimal consumption trajectories either diverging to sustained growth or converging to a steady state. To this purpose, we develop and test three algorithms capable of numerically simulating the initial Skiba-value of capital, each corresponding to initial stock of knowledge values belonging to three different ranges, thus covering all possible scenarios.

Suggested Citation

  • Privileggi, Fabio, 2015. "Takeoff vs. stagnation in endogenous recombinant growth models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 184-214.
    • Handle: RePEc:eee:matcom:v:108:y:2015:i:c:p:184-214
    DOI: 10.1016/j.matcom.2014.05.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847541400161X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2014.05.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. repec:tiu:tiutis:e656c1f0-c869-4ee6-b49b-247830a75965 is not listed on IDEAS
    3. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 43-61.
    4. Martin L. Weitzman, 1998. "Recombinant Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(2), pages 331-360.
    5. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    6. Fabio Privileggi, 2011. "Transition Dynamics in Endogenous Recombinant Growth Models by Means of Projection Methods," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 367-387, October.
    7. Haunschmied, Josef L. & Kort, Peter M. & Hartl, Richard F. & Feichtinger, Gustav, 2003. "A DNS-curve in a two-state capital accumulation model: a numerical analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 701-716, February.
    8. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    9. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    10. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    11. Charles I. Jones, 1999. "Growth: With or Without Scale Effects?," American Economic Review, American Economic Association, vol. 89(2), pages 139-144, May.
    12. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    13. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    14. Haunschmied, Josef L. & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M., 2005. "Keeping up with the technology pace: A DNS-curve and a limit cycle in a technology investment decision problem," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 509-529, August.
    15. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    16. Miguel-Angel Martín & Agustín Herranz, 2004. "Human capital and economic growth in Spanish regions," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 10(4), pages 257-264, November.
    17. Halkin, Hubert, 1974. "Necessary Conditions for Optimal Control Problems with Infinite Horizons," Econometrica, Econometric Society, vol. 42(2), pages 267-272, March.
    18. 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.
    19. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M., 2011. "Two state capital accumulation with heterogenous products: Disruptive vs. non-disruptive goods," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 462-478, April.
    20. Tsur, Yacov & Zemel, Amos, 2007. "Towards endogenous recombinant growth," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3459-3477, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Marchese, Carla & Marsiglio, Simone & Privileggi, Fabio & Ramello, Giovanni B., 2019. "Endogenous Recombinant Growth And Intellectual Property Rights," Macroeconomic Dynamics, Cambridge University Press, vol. 23(5), pages 2035-2067, July.
    2. Marchese, Carla & Marsiglio, Simone & Privileggi, Fabio & Ramello, Giovanni, 2014. "Endogenous Recombinant Growth through Market Production of Knowledge and Intellectual Property Rights," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201413, University of Turin.
    3. Privileggi, Fabio & Marsiglio, Simone, 2014. "Dynamics and Welfare in Recombinant Growth Models with Intellectual Property Rights: a Computational Method," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201414, University of Turin.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:uto:dipeco:201338 is not listed on IDEAS
    2. Daron Acemoglu & Veronica Guerrieri, 2008. "Capital Deepening and Nonbalanced Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 467-498, June.
    3. Jeon, Heesang, 2015. "Knowledge and Contemporary Capitalism in Light of Marx's Value Theory," Thesis Commons g5njk, Center for Open Science.
    4. Privileggi, Fabio & Marsiglio, Simone, 2014. "Dynamics and Welfare in Recombinant Growth Models with Intellectual Property Rights: a Computational Method," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201414, University of Turin.
    5. MARTINS, Ana Paula, 2015. "Increasing Returns And Endogenous Growth: Market Size And Taste For Variety," Academica Science Journal, Economica Series, Dimitrie Cantemir University, Faculty of Economical Science, vol. 1(5), pages 3-33, June.
    6. Andreas Dietrich, 2012. "Does growth cause structural change, or is it the other way around? A dynamic panel data analysis for seven OECD countries," Empirical Economics, Springer, vol. 43(3), pages 915-944, December.
    7. Thomas I. Renström & Luca Spataro, 2015. "Population Growth and Human Capital: A Welfarist Approach," Manchester School, University of Manchester, vol. 83, pages 110-141, December.
    8. Fulvio Castellacci, 2007. "Evolutionary And New Growth Theories. Are They Converging?," Journal of Economic Surveys, Wiley Blackwell, vol. 21(3), pages 585-627, July.
    9. Klaus Prettner, 2013. "Population aging and endogenous economic growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(2), pages 811-834, April.
    10. Gray, Elie & Grimaud, André, 2016. "Using the Salop Circle to Study Scale Effects in Schumpeterian Growth Models: Why Inter-sectoral Knowledge Diffusion Matters," TSE Working Papers 16-676, Toulouse School of Economics (TSE).
    11. Kaixing Huang, 2016. "Population Growth, Human Capital Accumulation, and the Long-Run Dynamics of Economic Growth," School of Economics and Public Policy Working Papers 2016-13, University of Adelaide, School of Economics and Public Policy.
    12. Kaixing Huang, 2016. "Demographic Transition and the Unobservable Scale Effects of Economic Growth," School of Economics and Public Policy Working Papers 2016-08, University of Adelaide, School of Economics and Public Policy.
    13. Martin Aarøe Christensen, 2015. "A CGE model with ICT and R&D-driven endogenous growth: A detailed model description," JRC Research Reports JRC97908, Joint Research Centre.
    14. Elie Gray & André Grimaud, 2016. "Using the Salop Circle to Study Scale Effects in Schumpeterian Growth Models: Why Inter-sectoral Knowledge Diffusion Matters," CESifo Working Paper Series 6021, CESifo.
    15. Adriana Di Liberto, 2007. "Convergence and Divergence in Neoclassical Growth Models with Human Capital," Economia politica, Società editrice il Mulino, issue 2, pages 289-322.
    16. Gancia, Gino & Zilibotti, Fabrizio, 2005. "Horizontal Innovation in the Theory of Growth and Development," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 3, pages 111-170, Elsevier.
    17. Martin Zagler & Georg Dürnecker, 2003. "Fiscal Policy and Economic Growth," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 397-418, July.
    18. Stadler, Manfred, 2015. "Innovation, industrial dynamics and economic growth," University of Tübingen Working Papers in Business and Economics 84, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    19. Papell, David H. & Prodan, Ruxandra, 2014. "Long run time series tests of constant steady-state growth," Economic Modelling, Elsevier, vol. 42(C), pages 464-474.
    20. Barbara Annicchiarico & Valentina Antonaroli & Alessandra Pelloni, 2022. "Optimal factor taxation in a scale free model of vertical innovation," Economic Inquiry, Western Economic Association International, vol. 60(2), pages 794-830, April.
    21. Chu, Angus C. & Furukawa, Yuichi, 2011. "On the optimal mix of patent instruments," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1964-1975.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:108:y:2015:i:c:p:184-214. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.