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

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Listed author(s):
  • 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.

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File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(10)00245-4
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Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 109 (2010)
Issue (Month): 1 (October)
Pages: 17-19

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Handle: RePEc:eee:ecolet:v:109:y:2010:i:1:p:17-19
Contact details of provider: Web page: http://www.elsevier.com/locate/ecolet

Keywords: Ramsey AK model Logistic population Hypergeometric functions;

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  1. 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.
  2. repec:ebl:ecbull:v:3:y:2007:i:15:p:1-8 is not listed on IDEAS
  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 339-367, December.
  4. 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.
  5. 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.
  6. 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.
  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. Daron Acemoglu & Jaume Ventura, 2002. "The World Income Distribution," The Quarterly Journal of Economics, Oxford University Press, vol. 117(2), pages 659-694.
  10. Tamura, Robert, 2006. "Human capital and economic development," Journal of Development Economics, Elsevier, vol. 79(1), pages 26-72, February.
  11. 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.
  12. 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.
  13. 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.
  14. 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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Cited by:

  1. 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.
  2. Getachew, Yoseph Yilma, 2012. "Do Ak models really lack transitional dynamics?," MERIT Working Papers 011, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
  3. Getachew, Yoseph Yilma, 2016. "Credit constraints, growth and inequality dynamics," Economic Modelling, Elsevier, vol. 54(C), pages 364-376.
  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.

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