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Complex endogenous dynamics in a one-sector growth model with differential savings

Author

Listed:
  • Fabio Tramontana

    (Department of Economics and Management, University of Pavia)

  • Viktor Avrutin

    (DESP, University of Urbino and IST, University of Stuttgart, Germany)

Abstract

We show that cyclic and chaotic dynamics may emerge in a Kaldor-Pasinetti growth model with different saving propensities, Leontief technology and logistic labor force growth rate.

Suggested Citation

  • Fabio Tramontana & Viktor Avrutin, 2014. "Complex endogenous dynamics in a one-sector growth model with differential savings," DEM Working Papers Series 078, University of Pavia, Department of Economics and Management.
    • Handle: RePEc:pav:demwpp:demwp0078
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    File URL: http://dem-web.unipv.it/web/docs/dipeco/quad/ps/RePEc/pav/demwpp/DEMWP0078.pdf
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    References listed on IDEAS

    as
    1. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    2. Guerrini, Luca, 2010. "Transitional dynamics in the Ramsey model with AK technology and logistic population change," Economics Letters, Elsevier, vol. 109(1), pages 17-19, October.
    3. Tramontana, Fabio & Gardini, Laura & Agliari, Anna, 2011. "Endogenous cycles in discontinuous growth models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1625-1639.
    4. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    5. Guerrini, Luca, 2010. "The Ramsey model with a bounded population growth rate," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 872-878, September.
    6. Guerrini, Luca, 2010. "A closed-form solution to the Ramsey model with logistic population growth," Economic Modelling, Elsevier, vol. 27(5), pages 1178-1182, September.
    7. Richard H. Day, 1983. "The Emergence of Chaos from Classical Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 201-213.
    8. Luigi L. Pasinetti, 1962. "Rate of Profit and Income Distribution in Relation to the Rate of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 267-279.
    9. Guerrini, Luca, 2006. "The Solow-Swan model with a bounded population growth rate," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 14-21, February.
    10. Guerrini, Luca, 2010. "The Ramsey model with AK technology and a bounded population growth rate," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1178-1183, December.
    11. Juan Gabriel Brida & Elvio Accinelli, 2007. "The Ramsey model with logistic population growth," Economics Bulletin, AccessEcon, vol. 3(15), pages 1-8.
    12. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-414, June.
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    Citations

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    Cited by:

    1. Tramontana, Fabio & Sushko, Iryna & Avrutin, Viktor, 2015. "Period adding structure in a 2D discontinuous model of economic growth," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 262-273.
    2. Baldi, Mauro Maria & Mammana, Cristiana & Michetti, Elisabetta, 2024. "The κ-logistic growth model. Qualitative and quantitative dynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 350-369.

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    More about this item

    Keywords

    One-sector growth model; logistic population growth; growth cycles;
    All these keywords.

    JEL classification:

    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity

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