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Transitional dynamics in the Ramsey model with AK technology and logistic population change

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  • Guerrini, Luca

Abstract

This paper shows that convergence can occur even for AK models if the population growth model is logistic. Moreover, the model is solved analytically, with the capital path expressed in closed-form in terms of Gauss hypergeometric functions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ecolet:v:109:y:2010:i:1:p:17-19
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    Cited by:

    1. Antony, Jürgen & Klarl, Torben, 2019. "Resource depletion in a Ramsey economy with subsistence consumption, exogenous technical change and capital depreciation: A full characterization," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203640, Verein für Socialpolitik / German Economic Association.
    2. Getachew, Yoseph Yilma, 2012. "Do Ak models really lack transitional dynamics?," MERIT Working Papers 2012-011, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    3. Gómez, Manuel A., 2014. "Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 50-54.
    4. Getachew, Yoseph Yilma, 2016. "Credit constraints, growth and inequality dynamics," Economic Modelling, Elsevier, vol. 54(C), pages 364-376.
    5. 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.
    6. Antony, Jürgen & Klarl, Torben, 2023. "Subsistence consumption and natural resource depletion: Can resource-rich low-income countries realize sustainable consumption paths?," Journal of Macroeconomics, Elsevier, vol. 77(C).
    7. Jürgen Antony & Torben Klarl, 2019. "Non-Renewable Resources in a Ramsey Economy with Subsistence Consumption, Human and Physical Capital Accumulation: A full Characterization," Bremen Papers on Economics & Innovation 1904, University of Bremen, Faculty of Business Studies and Economics.
    8. 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.
    9. Kajanovičová, Viktória & Novotný, Branislav & Pospíšil, Michal, 2020. "Ramsey model with non-constant population growth," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 40-46.
    10. Gómez, Manuel A., 2021. "On the closed-form solution of an endogenous growth model with anticipated consumption," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    11. Antony, Jürgen & Klarl, Torben, 2022. "Poverty and sustainable development around the world during transition periods," Energy Economics, Elsevier, vol. 110(C).

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