IDEAS home Printed from https://ideas.repec.org/a/eee/streco/v61y2022icp95-102.html
   My bibliography  Save this article

A Goodwin type cyclical growth model with two-time delays

Author

Listed:
  • Sportelli, Mario
  • De Cesare, Luigi

Abstract

In this paper, we reconsider the Goodwin 1967 growth-cycle model, where the antagonistic relationship between wages and profits is assimilated to the prey-predator conflict modeled by Volterra in 1931.

Suggested Citation

  • Sportelli, Mario & De Cesare, Luigi, 2022. "A Goodwin type cyclical growth model with two-time delays," Structural Change and Economic Dynamics, Elsevier, vol. 61(C), pages 95-102.
  • Handle: RePEc:eee:streco:v:61:y:2022:i:c:p:95-102
    DOI: 10.1016/j.strueco.2022.02.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0954349X2200011X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.strueco.2022.02.002?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. Shah, Anup & Desai, Meghnad, 1981. "Growth Cycles with Induced Technical Change," Economic Journal, Royal Economic Society, vol. 91(364), pages 1006-1010, December.
    2. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August.
    3. Mario Sportelli, 1995. "A Kolmogoroff generalized predator-prey model of Goodwin's growth cycle," Journal of Economics, Springer, vol. 61(1), pages 35-64, February.
    4. Ishiyama, K. & Saiki, Y., 2005. "Unstable periodic orbits and chaotic economic growth," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 33-42.
    5. Goodwin, Richard M., 1990. "The complex dynamics of innovation, output, and employment," Structural Change and Economic Dynamics, Elsevier, vol. 1(1), pages 119-131, June.
    6. Yoshida, Hiroyuki & Asada, Toichiro, 2007. "Dynamic analysis of policy lag in a Keynes-Goodwin model: Stability, instability, cycles and chaos," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 441-469, March.
    7. Veneziani, Roberto & Mohun, Simon, 2006. "Structural stability and Goodwin's growth cycle," Structural Change and Economic Dynamics, Elsevier, vol. 17(4), pages 437-451, December.
    8. Luciano Fanti, 2003. "Labour Contract Length, Stabilisation and the Growth Cycle," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 111(4), pages 493-516.
    9. Asada, Toichiro, 2006. "Stabilization policy in a Keynes-Goodwin model with debt accumulation," Structural Change and Economic Dynamics, Elsevier, vol. 17(4), pages 466-485, December.
    10. A. W. Phillips, 1958. "The Relation Between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom, 1861–1957," Economica, London School of Economics and Political Science, vol. 25(100), pages 283-299, November.
    11. E. Stockhammere & J. Michell, 2017. "Pseudo-Goodwin cycles in a Minsky model," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 41(1), pages 105-125.
    12. van der Ploeg, Frederick, 1983. "Economic growth and conflict over the distribution of income," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 253-279, September.
    13. Luciano Fanti, 2003. "The growth cycle and labour contract length," Discussion Papers 2003/17, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    14. Ken-ichi Ishiyama & Yoshitaka Saiki, 2005. "Unstable periodic orbits embedded in a chaotic economic dynamics model," Applied Economics Letters, Taylor & Francis Journals, vol. 12(12), pages 749-753.
    15. Sportelli, Mario & De Cesare, Luigi, 2019. "Fiscal policy delays and the classical growth cycle," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 9-31.
    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. Ma, Yuanyuan & Dong, Nan & Liu, Na & Xie, Leilei, 2022. "Spatiotemporal and bifurcation characteristics of a nonlinear prey-predator model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

    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. Giuseppe Orlando & Mario Sportelli, 2021. "Growth and Cycles as a Struggle: Lotka–Volterra, Goodwin and Phillips," Dynamic Modeling and Econometrics in Economics and Finance, in: Giuseppe Orlando & Alexander N. Pisarchik & Ruedi Stoop (ed.), Nonlinearities in Economics, chapter 0, pages 191-208, Springer.
    2. Saiki, Y. & Chian, A.C.L. & Yoshida, H., 2011. "Economic intermittency in a two-country model of business cycles coupled by investment," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 418-428.
    3. De Cesare, Luigi & Sportelli, Mario, 2020. "Stability and direction of Hopf bifurcations of a cyclical growth model with two-time delays and one-delay dependent coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Daniele Tavani & Luca Zamparelli, 2020. "Growth, income distribution, and the ‘entrepreneurial state’," Journal of Evolutionary Economics, Springer, vol. 30(1), pages 117-141, January.
    5. Konstantakis, Konstantinos N. & Michaelides, Panayotis G. & Mariolis, Theodore, 2018. "A non-linear post-Keynesian Goodwin-type endogenous model of the cycle for the USA," MPRA Paper 90036, University Library of Munich, Germany.
    6. Araujo, Ricardo Azevedo & Dávila-Fernández, Marwil J. & Moreira, Helmar Nunes, 2019. "Some new insights on the empirics of Goodwin's growth-cycle model," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 42-54.
    7. Colacchio, Giorgio, 2014. "Taxation, income redistribution and debt dynamics in a seven-equation model of the business cycle," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 140-165.
    8. Daniele Tavani, 2013. "Bargaining over productivity and wages when technical change is induced: implications for growth, distribution, and employment," Journal of Economics, Springer, vol. 109(3), pages 207-244, July.
    9. Veneziani, Roberto & Mohun, Simon, 2006. "Structural stability and Goodwin's growth cycle," Structural Change and Economic Dynamics, Elsevier, vol. 17(4), pages 437-451, December.
    10. Rudiger von Arnim & Jose Barrales, 2015. "Demand-driven Goodwin cycles with Kaldorian and Kaleckian features," Review of Keynesian Economics, Edward Elgar Publishing, vol. 3(3), pages 351-373, July.
    11. Alexander V. Ryzhenkov, 2009. "A Goodwinian Model With Direct And Roundabout Returns To Scale (An Application To Italy)," Metroeconomica, Wiley Blackwell, vol. 60(3), pages 343-399, July.
    12. Kerim Eser Afc{s}ar & Mehmet Ozyi~git & Yusuf Yuksel & Umit Ak{i}nc{i}, 2021. "Testing the Goodwin Growth Cycles with Econophysics Approach in 2002-2019 Period in Turkey," Papers 2106.02546, arXiv.org.
    13. Moura, N.J. & Ribeiro, Marcelo B., 2013. "Testing the Goodwin growth-cycle macroeconomic dynamics in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2088-2103.
    14. Mariolis Theodore & Konstantakis Konstantinos N. & Michaelides Panayotis G. & Tsionas Efthymios G., 2019. "A non-linear Keynesian Goodwin-type endogenous model of the cycle: Bayesian evidence for the USA," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(1), pages 1-16, February.
    15. Rada, Codrina & Tavani, Daniele & von Arnim, Rudiger & Zamparelli, Luca, 2023. "Classical and Keynesian models of inequality and stagnation," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 442-461.
    16. Yannis Dafermos, 2015. "Debt cycles, instability and fiscal rules: a Godley-Minsky model," Working Papers 20151509, Department of Accounting, Economics and Finance, Bristol Business School, University of the West of England, Bristol.
    17. Brianzoni, Serena & Mammana, Cristiana & Michetti, Elisabetta, 2009. "Nonlinear dynamics in a business-cycle model with logistic population growth," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 717-730.
    18. El-Metwally, H., 2007. "Global behavior of an economic model," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 994-1005.
    19. Stević, Stevo, 2009. "Boundedness character of a fourth order nonlinear difference equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2364-2369.
    20. Frédéric Lordon, 1995. "Cycles et chaos dans un modèle hétérodoxe de croissance endogène," Revue Économique, Programme National Persée, vol. 46(6), pages 1405-1432.

    More about this item

    Keywords

    Growth cycle; Delayed investments; Stability switch; Hopf bifurcation; DDEs;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

    Statistics

    Access and download statistics

    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:streco:v:61:y:2022:i:c:p:95-102. 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.elsevier.com/locate/inca/525148 .

    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.