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

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  • Alberto Bucci
  • Luca Guerrini

Abstract

This paper offers an alternative way, based on the logistic population growth hypothesis, to yield transitional dynamics in the standard AK model with exogenous savings rate. Within this framework, we show that the dynamics of the capital stock per person and its growth rate can be non-monotonic over time. Moreover, even in the presence of negative growth, the capital stock per-capita can converge to a strictly positive level (different from the initial level) when time goes to infinity. In general, the analysis allows us to conclude that the dynamics of the Solow-Swan model with linear technology and logistic population growth is richer than the one with exponential population growth.

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Bibliographic Info

Paper provided by DEGIT, Dynamics, Economic Growth, and International Trade in its series DEGIT Conference Papers with number c014_020.

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Length: 9 pages
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:deg:conpap:c014_020

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Keywords: Transitional Dynamics; AK model; Economic Growth; Population Dynamics; Physical Capital Investment;

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References

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  1. Acemoglu, Daron & Ventura, Jaume, 2001. "The World Income Distribution," CEPR Discussion Papers 2973, C.E.P.R. Discussion Papers.
  2. 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 126-34, February.
  3. Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. " Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-67, December.
  4. 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.
  5. Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
  6. Sergio Rebelo, 1999. "Long Run Policy Analysis and Long Run Growth," Levine's Working Paper Archive 2114, David K. Levine.
  7. 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.
  8. 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.
  9. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-38, October.
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Cited by:
  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. Steinbuks, Jevgenijs & Hertel, Thomas W., 2014. "Confronting the food-energy-environment trilemma : global land use in the long run," Policy Research Working Paper Series 6928, The World Bank.
  3. 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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