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Endogenous Population Growth May Imply Chaos

Author

Listed:
  • Prskawetz, Alexia
  • Feichtinger, Gustav

Abstract

We consider a discrete-time neoclassical growth model with an endogenous rate of population growth. The resulting one-dimensional map for the capital intensity has a tilted z-shape. Using the theory of nonlinear dynamical systems, we obtain numerical results on the qualitative behavior of time paths for changing parameter values. Besides stable and periodic solutions, erratic time paths may result. In particular, myopic and far-sighted economies - assumed to be characterized by low and high savings rate respectively - are characterized by stable per capita capital stocks, while solutions with chaotic windows exist between these two extremes.

Suggested Citation

  • Prskawetz, Alexia & Feichtinger, Gustav, 1995. "Endogenous Population Growth May Imply Chaos," Journal of Population Economics, Springer;European Society for Population Economics, vol. 8(1), pages 59-80, February.
  • Handle: RePEc:spr:jopoec:v:8:y:1995:i:1:p:59-80
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    Citations

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    Cited by:

    1. Azomahou, Théophile & Mishra, Tapas, 2008. "Age dynamics and economic growth: Revisiting the nexus in a nonparametric setting," Economics Letters, Elsevier, vol. 99(1), pages 67-71, April.
    2. Azomahou, Theophile & Mishra, Tapas, 2009. "Stochastic environmental effects, demographic variation, and economic growth," MERIT Working Papers 016, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    3. Azomahou, Théophile & Diebolt, Claude & Mishra, Tapas, 2009. "Spatial persistence of demographic shocks and economic growth," Journal of Macroeconomics, Elsevier, vol. 31(1), pages 98-127, March.
    4. Bohm, Volker & Kaas, Leo, 2000. "Differential savings, factor shares, and endogenous growth cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 965-980, June.
    5. Tapas Mishra & Claude Diebolt & Mamata Parhi, 2010. "Stochasticity in Population and Economic Growth with Past Dependence," Working Papers 10-10, Association Française de Cliométrie (AFC).
    6. Tapas K. Mishra, 2006. "A Further Look into the Demography-based GDP Forecasting Method," Working Papers of BETA 2006-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    7. Herbert Dawid & Engelbert Dockner & Richard Hartl & Josef Haunschmied & Ulrike Leopold-Wildburger & Mikulas Luptacik & Alexander Mehlmann & Alexia Prskawetz & Marion Rauner & Gerhard Sorger & Gernot T, 2010. "Gustav Feichtinger celebrates his 70th birthday," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 437-451, December.
    8. Teheni EL GHAK & Hajer ZARROUK, 2010. "Développement Financier Et Écarts De Revenus Des Pays : Une Analyse Empirique Sur Données De Panel," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 32, pages 59-90.
    9. Mishra Tapas & Prskawetz Alexia & Parhi Mamata & Diebolt Claude, 2009. "A Note on Long-Memory in Population and Economic Growth," Working Papers 09-06, Association Française de Cliométrie (AFC).

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