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On the existence and uniqueness of solution to the Lucas-Uzawa model

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  • Chilarescu, Constantin

Abstract

In this paper we define the concept of admissible solution and then provide closed-form solutions for all variables of the model along the transitional dynamics path. We present numerical simulations and compare our results with those obtained through the methods developed by Boucekkine and Ruiz-Tamarit and, Barro and Sala-I-Martin.

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Bibliographic Info

Article provided by Elsevier in its journal Economic Modelling.

Volume (Year): 28 (2011)
Issue (Month): 1-2 (January)
Pages: 109-117

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Handle: RePEc:eee:ecmode:v:28:y:2011:i:1-2:p:109-117

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Web page: http://www.elsevier.com/locate/inca/30411

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Keywords: Endogenous growth model Hamiltonian function Uniqueness of solution;

References

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  1. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  2. Mulligan, Casey B & Sala-i-Martin, Xavier, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 739-73, August.
  3. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
  4. Hiraguchi, Ryoji, 2009. "A solution to the Lucas-Uzawa model with increasing returns to scale: Note," Economic Modelling, Elsevier, vol. 26(5), pages 831-834, September.
  5. Danyang Xie, 2002. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," GE, Growth, Math methods 0210002, EconWPA.
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Cited by:
  1. Dirk Bethmann, 2013. "Solving Macroeconomic Models with Homogeneous Technology and Logarithmic Preferences," Australian Economic Papers, Wiley Blackwell, vol. 52(1), pages 1-18, 03.
  2. Constantin Chilarescu & Ciprian Sipos, 2014. "Solving Macroeconomic Models with Homogenous Technology and Logarithmic Preferences - A Note," Economics Bulletin, AccessEcon, vol. 34(1), pages 541-550.

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