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Note on Goodwin's 1951 nonlinear accelerator model with an investment delay

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  • Matsumoto, Akio

Abstract

This paper reexamines Goodwin's business cycle model with nonlinear acceleration principle that gives rise to cyclic oscillations when its stationary state is locally unstable. Fixed time delay in the investment is replaced by continuously distributed time delay. It is first demonstrated that the latter has stronger stabilizing effect than the former and, second, that multiple limit cycles may coexist when the stationary state is locally stable.

Suggested Citation

  • Matsumoto, Akio, 2009. "Note on Goodwin's 1951 nonlinear accelerator model with an investment delay," Journal of Economic Dynamics and Control, Elsevier, vol. 33(4), pages 832-842, April.
    • Handle: RePEc:eee:dyncon:v:33:y:2009:i:4:p:832-842
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    Cited by:

    1. Lin, Zifei & Li, Jiaorui & Li, Shuang, 2016. "On a business cycle model with fractional derivative under narrow-band random excitation," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 61-70.
    2. Hiroki Murakami, 2019. "A note on the “unique” business cycle in the Keynesian theory," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 384-404, July.
    3. Murakami, Hiroki, 2020. "Monetary policy in the unique growth cycle of post Keynesian systems," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 39-49.
    4. Cavalli, Fausto & Naimzada, Ahmad K. & Pecora, Nicolò, 2019. "Complex interplay between monetary and fiscal policies in a real economy model," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 318-330.
    5. Matsumoto, Akio & Szidarovszky, Ferenc, 2015. "Nonlinear multiplier–accelerator model with investment and consumption delays," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 1-9.
    6. Murakami, Hiroki & Zimka, Rudolf, 2020. "On dynamics in a two-sector Keynesian model of business cycles," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    7. Matsumoto, Akio & Szidarovszky, Ferenc, 2012. "Nonlinear delay monopoly with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 507-519.

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