IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v75y2010i1p77-94.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-2681(10)00020-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fausto Cavalli & Ahmad Naimzada & Nicol`o Pecora & Marina Pireddu, 2018. "Agents' beliefs and economic regimes polarization in interacting markets," Papers 1805.00387, arXiv.org.
    2. 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.
    3. 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.
    4. 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).
    5. 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.
    6. Andrášik Ladislav, 2015. "Ergodic Axiom: The Ontological Mistakes in Economics," Creative and Knowledge Society, Sciendo, vol. 5(1), pages 47-65, July.
    7. 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.
    8. 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).
    9. 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.
    10. 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.
    11. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Dal Forno, Arianna & Merlone, Ugo, 2013. "Border-collision bifurcations in a model of Braess paradox," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 87(C), pages 1-18.
    3. Dalla, Eleni & Varelas, Erotokritos, 2016. "An economic model for the interpretation of business cycles and the efficiency of monetary policy," The Journal of Economic Asymmetries, Elsevier, vol. 14(PA), pages 29-38.
    4. 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.
    5. 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.
    6. Wegener, Michael & Westerhoff, Frank & Zaklan, Georg, 2009. "A Metzlerian business cycle model with nonlinear heterogeneous expectations," Economic Modelling, Elsevier, vol. 26(3), pages 715-720, May.
    7. Murakami, Hiroki, 2022. "The unique limit cycle in post Keynesian theory," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    8. 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).
    9. 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.
    10. Murakami Hiroki, 2017. "Time elements and oscillatory fluctuations in the Keynesian macroeconomic system," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(2), pages 1-22, April.
    11. Robert Calvert Jump & Engelbert Stockhammer, 2023. "Building blocks of a heterodox business cycle theory," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 46(2), pages 334-358, April.
    12. 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.
    13. Piero Ferri & Steve Fazzari & Edward Greenberg & Anna Variato, 2011. "Aggregate Demand, Harrod’s Instability and Fluctuations," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 209-220, October.
    14. Barbara Dluhosch, 2011. "European Economics at a Crossroads, by J. Barkley Rosser, Jr., Richard P. F. Holt, and David Colander," Journal of Regional Science, Wiley Blackwell, vol. 51(3), pages 629-631, August.
    15. Paulo Reis Mourao & Irina Alina Popescu, 2022. "Revisiting a Macroeconomic Controversy: The Case of the Multiplier–Accelerator Effect," Economies, MDPI, vol. 10(10), pages 1-15, October.
    16. Frank Westerhoff, 2006. "Samuelson's multiplier-accelerator model revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 13(2), pages 89-92.
    17. 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.
    18. Steven M. Fazzari & Pietro E. Ferri & Edward G. Greenberg & Anna Maria Variato, 2013. "Aggregate demand, instability, and growth," Review of Keynesian Economics, Edward Elgar Publishing, vol. 1(1), pages 1-21, January.
    19. Fabio Tramontana & Laura Gardini, 2021. "Revisiting Samuelson’s models, linear and nonlinear, stability conditions and oscillating dynamics," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 10(1), pages 1-15, December.
    20. Todorova, Tamara & Kutrolli, Marin, 2019. "An Expanded Multiplier-Accelerator Model," MPRA Paper 107480, University Library of Munich, Germany.

    More about this item

    Keywords

    Hicksian model;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jeborg:v:75:y:2010:i:1:p:77-94. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jebo .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.