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Regular and chaotic growth in a Hicksian floor/ceiling model

Author

Listed:
  • Sushko, Iryna
  • Gardini, Laura
  • Puu, Tönu

Abstract

In some previous papers the present authors reassembled the Hicksian trade cycle model in a new way. The floor was tied to depreciation on capital, itself the cumulative sum of past net investments, for which the principle of acceleration provided an explanation. Hence no alien elements were needed to include capital, and so close the system. The resulting model created a growth trend along with growth rate cycles, which could be periodic or quasiperiodic. In the current paper, the ceiling, using capital stock as a capacity limit for production, is added. It then turns out that pure growth no longer exists, and chaos and multistability become possible, which they were not in the previous model. A variety of bifurcation scenarios is explored, and a full understanding of the working of the four-piece, originally three-dimensional, piecewise smooth map, is attained, using a reduction to a one-dimensional return map.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jeborg:v:75:y:2010:i:1:p:77-94
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    Cited by:

    1. Ingrid Kubin & Laura Gardini, 2013. "Border collision bifurcations in boom and bust cycles," Journal of Evolutionary Economics, Springer, vol. 23(4), pages 811-829, September.
    2. Gomes, Orlando, 2013. "Information stickiness on general equilibrium and endogenous cycles," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 7, pages 1-43.
    3. 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.
    4. Andrášik Ladislav, 2015. "Ergodic Axiom: The Ontological Mistakes in Economics," Creative and Knowledge Society, De Gruyter Open, vol. 5(1), pages 47-65, July.

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    Keywords

    Hicksian model;

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