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Nonlinear multiplier–accelerator model with investment and consumption delays

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  • Matsumoto, Akio
  • Szidarovszky, Ferenc

Abstract

This paper shows how cyclic dynamics of national income can emerge in the multiplier–accelerator model with continuous time scale when delays in investment and consumption are present. An S-shaped functional form of investment and a linear consumption function are adopted to illustrate the phenomenon and to compute the stability-switching curves on which a stability gain or loss occurs. Assuming that the equilibrium national income is locally stable if there are no delays, it is demonstrated that one delay is harmless and with two delays, the system can produce limit cycles and the stability switch repeatedly occurs when one of the delays increases and the other is kept to be positive constant.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:streco:v:33:y:2015:i:c:p:1-9
    DOI: 10.1016/j.strueco.2015.01.003
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    References listed on IDEAS

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    1. Matsumoto, Akio & Szidarovszky, Ferenc, 2010. "Continuous Hicksian trade cycle model with consumption and investment time delays," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 95-114, July.
    2. Sushko, Iryna & Gardini, Laura & Puu, Tönu, 2010. "Regular and chaotic growth in a Hicksian floor/ceiling model," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 77-94, July.
    3. Frank Westerhoff, 2006. "Samuelson's multiplier-accelerator model revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 13(2), pages 89-92.
    4. 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.
    5. Puu, Tonu, 2007. "The Hicksian trade cycle with floor and ceiling dependent on capital stock," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 575-592, February.
    6. Puu, Tonu & Gardini, Laura & Sushko, Irina, 2005. "A Hicksian multiplier-accelerator model with floor determined by capital stock," Journal of Economic Behavior & Organization, Elsevier, vol. 56(3), pages 331-348, March.
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    Citations

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    Cited by:

    1. Katarzyna Kopczewska, 2016. "Efficiency of Regional Public Investment: An NPV-Based Spatial Econometric Approach," Spatial Economic Analysis, Taylor & Francis Journals, vol. 11(4), pages 413-431, October.
    2. Ioannis K. Dassios & Mel T. Devine, 2016. "A macroeconomic mathematical model for the national income of a union of countries with interaction and trade," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 5(1), pages 1-15, December.
    3. Vasily E. Tarasov, 2019. "Rules for Fractional-Dynamic Generalizations: Difficulties of Constructing Fractional Dynamic Models," Mathematics, MDPI, vol. 7(6), pages 1-50, June.
    4. Todorova, Tamara & Kutrolli, Marin, 2019. "An Expanded Multiplier-Accelerator Model," MPRA Paper 107480, University Library of Munich, Germany.
    5. 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.
    6. Aleksandr Tarasyev & Ilya Krivenko & Maria Pecherkina & Tatiana Kashina, 2016. "Simulation of the Investment Attractiveness of Science in a Region," Economy of region, Centre for Economic Security, Institute of Economics of Ural Branch of Russian Academy of Sciences, vol. 1(1), pages 303-314.
    7. Jochen Jungeilges & Tatyana Ryazanova, 2018. "Output volatility and savings in a stochastic Goodwin economy," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 8(3), pages 355-380, December.

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    More about this item

    Keywords

    Nonlinear multiplier accelerator model; Business cycle; Investment delay; Consumption delay; Stability switch;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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