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Endogenous growth and wave-like business fluctuations

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  • Bambi, Mauro
  • Gozzi, Fausto
  • Licandro, Omar

Abstract

This paper argues that observed long lags in innovation implementation rationalize Schumpeter's statement that “wave-like fluctuations in business ... are the form economic development takes in the era of capitalism.” Adding implementation delays to an otherwise standard endogenous growth model with expanding product variety, the equilibrium path admits a Hopf bifurcation where consumption, R&D and output permanently fluctuate. This mechanism is quantitatively consistent with the observed medium-term movements of US aggregate output. In this framework, an optimal allocation may be restored at equilibrium by the mean of a procyclical subsidy, needed to generate additional consumption smoothing. Finally, a procyclical R&D subsidy rate designed to half consumption fluctuations will increase the growth rate from 2.4% to 3.4% with a 9.6% (compensation equivalent) increase in welfare.

Suggested Citation

  • Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
  • Handle: RePEc:eee:jetheo:v:154:y:2014:i:c:p:68-111
    DOI: 10.1016/j.jet.2014.08.004
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    3. Mauro Bambi & Cristina Girolami & Salvatore Federico & Fausto Gozzi, 2017. "Generically distributed investments on flexible projects and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 521-558, February.
    4. Hartwig, Johannes, 2022. "Semi-endogenous growth dynamics in a macroeconomic model with delays," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 538-551.
    5. Raouf Boucekkine & Giorgio Fabbri & Patrick-Antoine Pintus, 2011. "On the optimal control of a linear neutral differential equation arising in economics," Working Papers halshs-00576770, HAL.
    6. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
    7. Gordon, Sidartha & Marlats, Chantal & Ménager, Lucie, 2021. "Observation delays in teams and effort cycles," Games and Economic Behavior, Elsevier, vol. 130(C), pages 276-298.
    8. Lin, Hwan C. & Shampine, L.F., 2014. "Finite-length Patents and Functional Differential Equations in a Non-scale R&D-based Growth Model," MPRA Paper 61603, University Library of Munich, Germany.
    9. Jing Wan & Jie Zhang, 2023. "R&D subsidies, income taxes, and growth through cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(3), pages 827-866, October.
    10. BOUCEKKINE, Raouf & FABBRI, Giorgio & PINTUS, Patrick, 2012. "On the optimal control of a linear neutral differential equation arising in economics," LIDAM Reprints CORE 2449, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Omar Licandro & Luis A. Puch & Jesús Ruiz, 2018. "Continuous vs Discrete Time Modelling in Growth and Business Cycle Theory," Documentos de Trabajo del ICAE 2018-28, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    12. Hwan C. Lin & L. F. Shampine, 2018. "R&D-based Calibrated Growth Models with Finite-Length Patents: A Novel Relaxation Algorithm for Solving an Autonomous FDE System of Mixed Type," Computational Economics, Springer;Society for Computational Economics, vol. 51(1), pages 123-158, January.
    13. Hwan C. Lin, 2018. "Computing Transitional Cycles for a Deterministic Time-to-Build Growth Model," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 677-696, March.
    14. Zaifu Yang & Rong Zhang, 2021. "Generalized Cumulative Offer Processes," Discussion Papers 21/08, Department of Economics, University of York.
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    More about this item

    Keywords

    Endogenous growth; Endogenous fluctuations; Innovation cycles; Time delays; Medium-term cycles; Hopf bifurcation;
    All these keywords.

    JEL classification:

    • O3 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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