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

  • Chilarescu, Constantin

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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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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  1. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
  2. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
  3. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  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. 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.
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