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Transitional Dynamics in the Solow-Swan Growth Model with AK Technology and Logistic Population Change

Author

Listed:
  • Bucci Alberto

    (University of Milan)

  • Guerrini Luca

    (University of Bologna)

Abstract

This paper offers an alternative way, based on the logistic population growth hypothesis, to produce transitional dynamics in the standard AK framework with an exogenous savings rate. In the model the growth rate of the aggregate stock of capital is independent of the evolution of population and always constant, whereas the growth rate of population, though independent of the law of motion of capital, varies over time. Hence, non monotonicity in the per-capita capital level and growth rate can be observed.

Suggested Citation

  • Bucci Alberto & Guerrini Luca, 2009. "Transitional Dynamics in the Solow-Swan Growth Model with AK Technology and Logistic Population Change," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-17, December.
    • Handle: RePEc:bpj:bejmac:v:9:y:2009:i:1:n:43
    DOI: 10.2202/1935-1690.1954
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    Cited by:

    1. Jevgenijs Steinbuks & Thomas Hertel, 2016. "Confronting the Food–Energy–Environment Trilemma: Global Land Use in the Long Run," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 63(3), pages 545-570, March.
    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. Cai, Yongyang & Steinbuks, Jevgenijs & Elliott, Joshua & Hertel, Thomas W., 2014. "The effect of climate and technological uncertainty in crop yields on the optimal path of global land use," Policy Research Working Paper Series 7009, The World Bank.
    4. 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.
    5. Marsiglio, Simone & La Torre, Davide, 2012. "Population dynamics and utilitarian criteria in the Lucas–Uzawa Model," Economic Modelling, Elsevier, vol. 29(4), pages 1197-1204.

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    More about this item

    Keywords

    transitional dynamics; AK model; economic growth; population dynamics; physical capital investment;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • J10 - Labor and Demographic Economics - - Demographic Economics - - - General
    • O16 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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