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Growth and convergence in a model with renewable and non-renewable resources: existence, transitional dynamics, and empirical evidence

  • Nguyen, Manh-Hung
  • Nguyen-Van, Phu

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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Paper provided by LERNA, University of Toulouse in its series LERNA Working Papers with number 10.25.331.

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Date of creation: Dec 2010
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Handle: RePEc:ler:wpaper:10.25.331
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  1. Groth, Christian & Schou, Poul, 2007. "Growth and non-renewable resources: The different roles of capital and resource taxes," Journal of Environmental Economics and Management, Elsevier, vol. 53(1), pages 80-98, January.
  2. Gerlagh, Reyer & van der Zwaan, Bob, 2003. "Gross world product and consumption in a global warming model with endogenous technological change," Resource and Energy Economics, Elsevier, vol. 25(1), pages 35-57, February.
  3. Hippolyte d’Albis & Pascal Gourdel & Cuong Le Van, 2008. "Existence of solutions in continuous-time optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 321-333, November.
  4. GROWIEC, Jakub & SCHUMACHER, Ingmar, 2006. "On technical change in the elasticities of resource inputs," CORE Discussion Papers 2006063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  6. N. Gregory Mankiw & David Romer & David N. Weil, 1990. "A Contribution to the Empirics of Economic Growth," NBER Working Papers 3541, National Bureau of Economic Research, Inc.
  7. Tahvonen, Olli & Salo, Seppo, 2001. "Economic growth and transitions between renewable and nonrenewable energy resources," European Economic Review, Elsevier, vol. 45(8), pages 1379-1398, August.
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  10. Bretschger, Lucas, 2005. "Economics of technological change and the natural environment: How effective are innovations as a remedy for resource scarcity?," Ecological Economics, Elsevier, vol. 54(2-3), pages 148-163, August.
  11. Grimaud, André & Rougé, Luc, 2007. "Environment, Directed Technical Change and Economic Policy," IDEI Working Papers 384, Institut d'Économie Industrielle (IDEI), Toulouse.
  12. Grimaud, André & Rougé, Luc, 2003. "Polluting Non-Renewable Resources, Innovation and Growth : Welfare and Environmental Policy," IDEI Working Papers 206, Institut d'Économie Industrielle (IDEI), Toulouse.
  13. Nazrul Islam, 1995. "Growth Empirics: A Panel Data Approach," The Quarterly Journal of Economics, Oxford University Press, vol. 110(4), pages 1127-1170.
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  17. repec:hal:journl:halshs-00177269 is not listed on IDEAS
  18. Graciela Chichilnisky, 1981. "Existence and Characterization of Optimal Growth Paths Including Models with Non-Convexities in Utilities and Technologies," Review of Economic Studies, Oxford University Press, vol. 48(1), pages 51-61.
  19. Miketa, Asami & Mulder, Peter, 2005. "Energy productivity across developed and developing countries in 10 manufacturing sectors: Patterns of growth and convergence," Energy Economics, Elsevier, vol. 27(3), pages 429-453, May.
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