A closed-form solution to the Ramsey model with logistic population growth
AbstractIn this paper, we consider the Ramsey growth model with CIES utility function, Cobb-Douglas technology, and logistic-type population growth law. We show the model to have a unique non-trivial steady-state equilibrium (a saddle point) and prove the optimal path to be non-monotonic over time. Moreover, we derive a closed-form solution for the case where capital's share is equal to the reciprocal of the intertemporal elasticity of substitution.
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Bibliographic InfoArticle provided by Elsevier in its journal Economic Modelling.
Volume (Year): 27 (2010)
Issue (Month): 5 (September)
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Web page: http://www.elsevier.com/locate/inca/30411
Ramsey Logistic Closed-form solution;
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