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Robust cyclical growth

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  • Anjan Mukherji

Abstract

The stability of cyclical growth within the context of a model in Matsuyama (1999) is examined.It is shown that but for an extreme situation, the two-cycles are unique and a range of parameter values which imply the stability of such cyclical growth is derived. The growth enhancing property of 2-cycles are shown to be retained by any cycle; the results of simulation exercises carried out are reported to show that for very wide range of parameter values, such cyclical growth paths are stable and thus robustness of the conclusions are established. Finally, the configuration of parameters for which the dynamics exhibits complicated (chaotic) behavior is also identified.
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Suggested Citation

  • Anjan Mukherji, 2005. "Robust cyclical growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(3), pages 233-246.
  • Handle: RePEc:bla:ijethy:v:1:y:2005:i:3:p:233-246
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    References listed on IDEAS

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    1. Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
    2. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical dynamics and economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 37-83, July.
    3. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical Dynamics and Economics," Working Paper Series 293, Research Institute of Industrial Economics.
    4. Kiminori Matsuyama, 1999. "Growing Through Cycles," Econometrica, Econometric Society, vol. 67(2), pages 335-348, March.
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    Cited by:

    1. Laura Gardini & Iryna Sushko, 2018. "Growing through chaos in the Matsuyama map via subcritical flip and bistability," Working Papers 1801, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2018.
    2. Gardini, Laura & Sushko, Iryna & Naimzada, Ahmad K., 2008. "Growing through chaotic intervals," Journal of Economic Theory, Elsevier, vol. 143(1), pages 541-557, November.
    3. Shinagawa, Shunsuke, 2013. "Endogenous fluctuations with procyclical R&D," Economic Modelling, Elsevier, vol. 30(C), pages 274-280.
    4. Kikuchi, Tomoo & Vachadze, George, 2015. "Financial liberalization: Poverty trap or chaos," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 1-9.
    5. repec:eee:mateco:v:74:y:2018:i:c:p:46-55 is not listed on IDEAS
    6. Tramontana, F. & Gardini, L. & Ferri, P., 2010. "The dynamics of the NAIRU model with two switching regimes," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 681-695, April.

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