Growth and convergence in a model with renewable and non-renewable resources: existence, transitional dynamics, and empirical evidence
This paper studies an optimal endogenous growth model using physical capital, labor and two kinds of natural resources in the final goods sector and employing labor to accumulate knowledge. Based on results in calculus of variations, a direct proof of existence of optimal solution is provided. Analytical solutions for the planner case and the balanced growth paths are found for a specific CRRA utility and Cobb-Douglas production function. Transitional dynamics to the steady state from the theoretical model are used to derive three convergence equations of output intensity growth rate, exhaustible resource growth rate and renewable growth rate, which are tested based on data on production and energy consumption in 27 OECD countries.
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- Hippolyte d'Albis & Pascal Gourdel & Cuong Le Van, 2004.
"Existence of solutions in continuous-time optimal growth models,"
Cahiers de la Maison des Sciences Economiques
b04063, Université Panthéon-Sorbonne (Paris 1).
- Hippolyte d’Albis & Pascal Gourdel & Cuong Le Van, 2008. "Existence of solutions in continuous-time optimal growth models," Economic Theory, Springer, vol. 37(2), pages 321-333, November.
- D'ALBIS Hippolyte & GOURDEL Pascal & LE VAN Cuong, 2007. "Existence of Solutions in Continuous-time Optimal Growth Models," LERNA Working Papers 07.11.232, LERNA, University of Toulouse.
- Hippolyte D'Albis & Pascal Gourdel & Cuong Le Van, 2008. "Existence of Solutions in Continuous-time Optimal Growth Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00177269, HAL.
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