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Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth

Author

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  • Brianzoni Serena

    (Department of Economic and Financial Institutions, University of Macerata, Italy)

  • Mammana Cristiana

    (Department of Economic and Financial Institutions, University of Macerata, Italy)

  • Michetti Elisabetta

    (Department of Economic and Financial Institutions, University of Macerata, Italy)

Abstract

In this paper we analyze the dynamics shown by the neoclassical one-sector growth model with differential savings as in Bohm and Kaas (2000) while assuming CES production function and the labour force dynamic described by the Beverton Holt equation (see Beverton and Holt, 1957). The resulting dynamic system is bidimensional, autonomous and triangular: we investigate its qualitative and quantitative dynamic properties. The study herewith presented aims at confirming that the system can exhibit cycles or even a chaotic dynamic pattern, if shareholders save more than workers, when the elasticity of substitution drops below one (so that capital income declines). The analytical results are supplemented by numerical experiments.

Suggested Citation

  • Brianzoni Serena & Mammana Cristiana & Michetti Elisabetta, 2007. "Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(3), pages 1-19, September.
    • Handle: RePEc:bpj:sndecm:v:11:y:2007:i:3:n:3
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    Citations

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    Cited by:

    1. Fazlıoğlu Burcu & Sağlam Hüseyin Çağrı & Yüksel Mustafa Kerem, 2016. "Hopf bifurcation in an overlapping generations resource economy with endogenous population growth rate," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(5), pages 607-621, December.
    2. David Cheban & Cristiana Mammana & Elisabetta Michetti, 2012. "Non-Autonomous Difference Equations: Global Attractor in a Business-Cycle Model with Endogenous Population Growth," Working Papers 69-2012, Macerata University, Department of Finance and Economic Sciences, revised Sep 2015.
    3. Brianzoni, Serena & Mammana, Cristiana & Michetti, Elisabetta, 2012. "Variable elasticity of substituition in a discrete time Solow–Swan growth model with differential saving," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 98-108.
    4. Prajakta Bhide & Lucia Fiorito & Zachary Noteman & Kunal Sawardekar, 2010. "Did bankruptcy reform lead to looser mortgage lending standards? Evidence from the U.S. mortgage market 2000-2007," Ensayos de Política Económica, Departamento de Investigación Francisco Valsecchi, Facultad de Ciencias Económicas, Pontificia Universidad Católica Argentina., vol. 1(4), pages 88-107, Octubre.
    5. David Cheban & Cristiana Mammana & Elisabetta Michetti, 2008. "Global Attractors of Non-autonomous Difference Equations," Working Papers 47-2008, Macerata University, Department of Finance and Economic Sciences, revised Oct 2008.
    6. Serena Brianzoni, & Cristiana Mammana, & Elisabetta Michetti,, 2006. "Global attractor in Solow growth model with differential savings and endogenic labor force growth," Working Papers 35-2006, Macerata University, Department of Finance and Economic Sciences, revised Oct 2008.
    7. Serena Brianzoni & Raffaella Coppier & Elisabetta Michetti, 2015. "Multiple equilibria in a discrete time growth model with corruption in public procurement," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(6), pages 2387-2410, November.
    8. Marcelo F. Resico, 2007. "Las Reformas Económicas y la Modernización del Estado," Ensayos de Política Económica, Departamento de Investigación Francisco Valsecchi, Facultad de Ciencias Económicas, Pontificia Universidad Católica Argentina., vol. 1(1), pages 104-122, Octubre.
    9. Juan Sebastián Pereyra & Juan Gabriel Brida, 2008. "The Solow model in discrete time and decreasing population growth rate," Economics Bulletin, AccessEcon, vol. 3(41), pages 1-14.
    10. Michetti, Elisabetta, 2015. "Complex attractors and basins in a growth model with nonconcave production function and logistic population growth rate," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 215-232.
    11. Brianzoni, Serena & Mammana, Cristiana & Michetti, Elisabetta, 2009. "Nonlinear dynamics in a business-cycle model with logistic population growth," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 717-730.
    12. Grassetti, Francesca & Mammana, Cristiana & Michetti, Elisabetta, 2018. "Substitutability between production factors and growth. An analysis using VES production functions," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 53-62.
    13. Francesca Grassetti & Cristiana Mammana & Elisabetta Michetti, 2018. "Poverty trap, boom and bust periods and growth. A nonlinear model for non-developed and developing countries," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 145-162, November.
    14. Serena Brianzoni & Cristiana Mammana & Elisabetta Michetti, 2012. "Local and Global Dynamics in a Discrete Time Growth Model with Nonconcave Production Function," Working Papers 70-2012, Macerata University, Department of Finance and Economic Sciences, revised Sep 2015.
    15. Agliari, Anna & Böhm, Volker & Pecora, Nicolò, 2020. "Endogenous cycles from income diversity, capital ownership, and differential savings," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    16. Fernando Suárez, 2021. "Dinámica discreta en un modelo de crecimiento de Solow con ahorro diferencial constante y crecimiento poblacional no constante," Ensayos de Política Económica, Departamento de Investigación Francisco Valsecchi, Facultad de Ciencias Económicas, Pontificia Universidad Católica Argentina., vol. 3(3), pages 25-39, Octubre.

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