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The Dynamics of the Jones R&D Growth Model

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  • Lutz G. Arnold

    (University of Regensburg)

Abstract

The dynamics of most prominent endogenous growth models are well understood. One notable exception is the Jones (1995) R&D growth model. This paper provides an analytical treatment of this model's transitional dynamics. It is shown that, given constant returns to labor in R&D (as conventionally assumed in R&D growth models), a unique trajectory converging to the balanced growth path exists. The equilibrium growth path can be monotonic or oscillatory. Moreover, applying a theorem from Arnold (2005), this result can be used to characterize the dynamic behavior of the multi-country open-economy version of the model. (Copyright: Elsevier)

Suggested Citation

  • 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.
    • Handle: RePEc:red:issued:v:9:y:2006:i:1:p:143-152
    DOI: 10.1016/j.red.2005.09.001
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    Cited by:

    1. 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.
    2. Hiroaki Sasaki, 2008. "North-South Asymmetry in Returns to Scale, Uneven Development, and the Population Puzzle," TERG Discussion Papers 238, Graduate School of Economics and Management, Tohoku University.
    3. Koichi Futagami & Takeo Hori, 2010. "Technological Progress And Population Growth: Do We Have Too Few Children?," The Japanese Economic Review, Japanese Economic Association, vol. 61(1), pages 64-84, March.
    4. Lutz Arnold, 2007. "A generalized multi-country endogenous growth model," International Economics and Economic Policy, Springer, vol. 4(1), pages 61-100, 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. Christian Groth & Karl-Josef Koch & Thomas Steger, 2006. "Rethinking the Concept of Long-Run Economic Growth," CESifo Working Paper Series 1701, CESifo.
    7. Christian Groth & Karl-Josef Koch & Thomas Steger, 2010. "When economic growth is less than exponential," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 213-242, August.
    8. Shinagawa, Shunsuke, 2013. "Endogenous fluctuations with procyclical R&D," Economic Modelling, Elsevier, vol. 30(C), pages 274-280.
    9. Guido Cozzi, 2008. "Why the Rich Should Like R&D Less," Working Papers 2009_14, Business School - Economics, University of Glasgow, revised Mar 2009.
    10. Iacopetta, Maurizio, 2011. "Formal education and public knowledge," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 676-693, May.
    11. Dean Scrimgeour, 2015. "Dynamic Scoring in a Romer‐Style Economy," Southern Economic Journal, John Wiley & Sons, vol. 81(3), pages 697-723, January.
    12. 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.
    13. Angus Chu, 2009. "Effects of blocking patents on R&D: a quantitative DGE analysis," Journal of Economic Growth, Springer, vol. 14(1), pages 55-78, March.
    14. 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.
    15. 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.
    16. Dean Scrimgeour, 2015. "Dynamic Scoring in a Romer-Style Economy," Southern Economic Journal, Southern Economic Association, vol. 81(3), pages 697-723, January.
    17. Makoto Hirono, 2020. "Transitional dynamics of the R&D growth model with public education," Metroeconomica, Wiley Blackwell, vol. 71(4), pages 662-675, November.
    18. repec:wly:soecon:v:81:3:y:2015:p:697-723 is not listed on IDEAS
    19. Tamai, Toshiki, 2009. "Variety of products, public capital, and endogenous growth," Economic Modelling, Elsevier, vol. 26(1), pages 251-255, January.
    20. Christian Bauer, 2008. "Trade, Productivity and semi-endogenous Growth," Working Papers 056, Bavarian Graduate Program in Economics (BGPE).
    21. 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.
    22. Gómez, Manuel A., 2021. "On the closed-form solution of an endogenous growth model with anticipated consumption," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    23. Sasaki, Hiroaki & Hoshida, Keisuke, 2014. "Semi-Endogenous R&D Growth Model with Negative Population Growth," MPRA Paper 53833, University Library of Munich, Germany.
    24. Julio Pindado & Valdoceu De Queiroz & Chabela De La Torre, 2010. "How Do Firm Characteristics Influence the Relationship between R&D and Firm Value?," Financial Management, Financial Management Association International, vol. 39(2), pages 757-782, June.
    25. 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.

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    More about this item

    Keywords

    growth without scale effects; transitional dynamics;

    JEL classification:

    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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