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Endogenous technological change: a note on stability

Author

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  • Lutz G. Arnold

    () (Department of Economics, University of Dortmund, Vogelpothsweg 87, D-44227 Dortmund, GERMANY)

Abstract

This paper demonstrates that the steady-state solution of the optimal-growth problem in Romer's (1990) model of endogenous technological change is globally saddle-point stable. Surprisingly, the proof of this result is trivial. Interest in the optimal growth path is justified by the fact that there is a (unique) combination of production and R&D subsidies by means of which the optimal growth path is attained as a market equilibrium.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:joecth:v:16:y:2000:i:1:p:219-226
    Note: Received: October 6, 1998; revised version: April 19, 1999
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    Citations

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    Cited by:

    1. Slobodyan, Sergey, 2007. "Indeterminacy and stability in a modified Romer model," Journal of Macroeconomics, Elsevier, vol. 29(1), pages 169-177, March.
    2. Grossmann, Volker & Steger, Thomas & Trimborn, Timo, 2013. "Dynamically optimal R&D subsidization," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 516-534.
    3. 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.
    4. 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(02), pages 223-239, April.
    5. Haruyama, Tetsugen, 2009. "R&D policy in a volatile economy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1761-1778, October.
    6. repec:eee:joecas:v:10:y:2013:i:1:p:53-64 is not listed on IDEAS
    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. Gómez Manuel A. & Sequeira Tiago Neves, 2012. "The Transitional Dynamics of an Endogenous Growth Model: Generalizing Production Functions," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(5), pages 1-27, December.
    9. Been-Lon Chen & Angus Chu, 2010. "On R&D spillovers, multiple equilibria and indeterminacy," Journal of Economics, Springer, vol. 100(3), pages 247-263, July.
    10. Arnold, Lutz G. & Kornprobst, Wolfgang, 2006. "The Dynamics of the Romer R&D Growth Model with Quality Upgrading," University of Regensburg Working Papers in Business, Economics and Management Information Systems 413, University of Regensburg, Department of Economics.
    11. Arnold, Lutz G., 2000. "Stability of the Market Equilibrium in Romer's Model of Endogenous Technological Change: A Complete Characterization," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 69-84, January.
    12. Rouhollah Shahnazi & Mohsen Renani & Rahim Dalali Esfahani & Rahman Khoshakhlagh & Mohamad Vaez, 2011. "Optimal Fiscal Policy with Oil Revenues," Iranian Economic Review, Economics faculty of Tehran university, vol. 16(2), pages 73-88, spring.
    13. Farhad Nili, 2002. "U-shaped Paths of Consumption and Physical Capital in Lucas-type Growth Models," Development and Comp Systems 0211002, EconWPA.
    14. Tatsuro Iwaisako & Koichi Futagami, 2013. "Patent protection, capital accumulation, and economic growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 631-668, March.
    15. Sergey Slobodyan, 2006. "Indeterminacy and Stability in a Modified Romer Model: A General Case," CERGE-EI Working Papers wp284, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    16. 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.
    17. Bettina Büttner, 2006. "Effectiveness versus Efficiency: Growth-Accelerating Policies in a Model of Growth without Scale Effects," German Economic Review, Verein für Socialpolitik, vol. 7, pages 297-316, August.
    18. Mondal, Debasis, 2008. "Stability analysis of the Grossman-Helpman model of endogenous product cycles," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1302-1322, September.
    19. Gómez, Manuel A. & Sequeira, Tiago N., 2013. "Optimal R&D subsidies in a model with physical capital, human capital and varieties," Economic Modelling, Elsevier, vol. 30(C), pages 217-224.
    20. Arnold, Lutz G., 2003. "Growth in stages," Structural Change and Economic Dynamics, Elsevier, vol. 14(1), pages 55-74, March.
    21. Arnold, Lutz G., 2002. "On the growth effects of North-South trade: the role of labor market flexibility," Journal of International Economics, Elsevier, vol. 58(2), pages 451-466, December.
    22. Farhad Nili, "undated". "Dynamics of Output Growth, Consumption and Physical Capital in Two-Sector Models of Endogenous Growth," Discussion Papers 00/62, Department of Economics, University of York.

    More about this item

    Keywords

    R&D; Endogenous growth; Saddle-point stability; Transitional dynamics.;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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