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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

    as
    1. 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.
    2. 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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    Cited by:

    1. Assous, Michaël & Boianovsky, Mauro & Dávila-Fernández, Marwil J., 2024. "Samuelson's last macroeconomic model: Secular stagnation and endogenous cyclical growth," Structural Change and Economic Dynamics, Elsevier, vol. 69(C), pages 417-426.
    2. Fausto Cavalli & Ahmad Naimzada & Nicol`o Pecora & Marina Pireddu, 2018. "Agents' beliefs and economic regimes polarization in interacting markets," Papers 1805.00387, arXiv.org.
    3. 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.
    4. Gomes, Orlando, 2013. "Information stickiness on general equilibrium and endogenous cycles," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 7, pages 1-43.
    5. Muñoz-Guillermo, María, 2022. "On the dynamics of the q-deformed Puu’s model with cubic investment map," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    6. Gardini, Laura & Radi, Davide & Schmitt, Noemi & Sushko, Iryna & Westerhoff, Frank, 2023. "Sentiment-driven business cycle dynamics: An elementary macroeconomic model with animal spirits," Journal of Economic Behavior & Organization, Elsevier, vol. 210(C), pages 342-359.
    7. Andrášik Ladislav, 2015. "Ergodic Axiom: The Ontological Mistakes in Economics," Creative and Knowledge Society, Sciendo, vol. 5(1), pages 47-65, July.
    8. Vasileios Spyrakis & Stelios Kotsios, 2021. "Public debt dynamics: the interaction with national income and fiscal policy," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 10(1), pages 1-22, December.
    9. Sordi, Serena & Dávila-Fernández, Marwil J., 2022. "A two-stroke growth cycle model for a small open economy," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    10. 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.
    11. 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.
    12. Ingrid Kubin & Laura Gardini, 2022. "On the significance of borders: the emergence of endogenous dynamics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 41-62, January.

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    Keywords

    Hicksian model;

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