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The Ramsey model with AK technology and a bounded population growth rate

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  • Guerrini, Luca

Abstract

This paper generalizes the Ramsey AK model by allowing the population growth rate to be variable over time subject only to be between prescribed upper and lower limits. Contrary to the standard AK setting, convergence can occur. Moreover, monotonicity as well as an asymptotic balanced growth path equilibrium may arise in the model.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jmacro:v:32:y:2010:i:4:p:1178-1183
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005. "Vintage capital and the dynamics of the AK model," Journal of Economic Theory, Elsevier, vol. 120(1), pages 39-72, January.
    4. 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.
    5. Gómez, Manuel A., 2008. "Convergence speed in the Ak endogenous growth model with habit formation," Economics Letters, Elsevier, vol. 100(1), pages 16-21, July.
    6. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    7. Daron Acemoglu & Jaume Ventura, 2002. "The World Income Distribution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(2), pages 659-694.
    8. Kocherlakota, Narayana R & Yi, Kei-Mu, 1996. "A Simple Time Series Test of Endogenous vs. Exogenous Growth Models: An Application to the United States," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 126-134, February.
    9. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    10. Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. "Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-367, 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. Tamura, Robert, 2006. "Human capital and economic development," Journal of Development Economics, Elsevier, vol. 79(1), pages 26-72, February.
    13. Tamura, Robert, 1996. "From decay to growth: A demographic transition to economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1237-1261.
    14. repec:ebl:ecbull:v:3:y:2007:i:15:p:1-8 is not listed on IDEAS
    15. Tamura, Robert, 2002. "Human capital and the switch from agriculture to industry," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 207-242, December.
    16. Tamura, Robert, 1991. "Income Convergence in an Endogenous Growth Model," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 522-540, June.
    17. Guerrini, Luca, 2010. "The Ramsey model with a bounded population growth rate," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 872-878, September.
    18. Palivos, Theodore & Wang, Ping & Zhang, Jianbo, 1997. "On the Existence of Balanced Growth Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 205-224, February.
    19. Kocherlakota, Narayana R. & Yi, Kei-Mu, 1995. "Can convergence regressions distinguish between exogenous and endogenous growth models?," Economics Letters, Elsevier, vol. 49(2), pages 211-215, August.
    20. Massimiliano Ferrara & Luca Guerrini, 2008. "On the dynamics of a three-sector growth model," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 55(3), pages 275-283, September.
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    1. 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.
    2. 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.
    3. Ruiz-Tamarit, J.R. & Ventura-Marco, M., 2011. "Solution to nonlinear MHDS arising from optimal growth problems," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 86-96, March.
    4. 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.
    5. Kajanovičová, Viktória & Novotný, Branislav & Pospíšil, Michal, 2020. "Ramsey model with non-constant population growth," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 40-46.
    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.

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