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Stochastic technical change, non-renewable resource and optimal sustainable growth

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  • Lafforgue, Gilles

Abstract

We develop a stochastic endogenous growth model involving a non-renewable resource, in which innovation arrivals are governed by a non-stationary Poisson process. Using a CRRA analytical example, we characterize the optimal trajectories of the model and analyze the effects of uncertainty in the sense of Rothschild and Stiglitz by computing a mean-preserving spread. We show that increased variability in the innovation process always implies a smaller optimal R&D effort, since this leads to a reduced marginal rate of return. Effects on the other variables of the model may also be unambiguously identified depending upon the relative risk aversion of agents, the social discount rate and the marginal arrival rate of innovations. Finally, we investigate the conditions under which, on average, the economy reaches a sustainable growth path.

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Bibliographic Info

Article provided by Elsevier in its journal Resource and Energy Economics.

Volume (Year): 30 (2008)
Issue (Month): 4 (December)
Pages: 540-554

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Handle: RePEc:eee:resene:v:30:y:2008:i:4:p:540-554

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Web page: http://www.elsevier.com/locate/inca/505569

Related research

Keywords: Non-renewable resource Drastic innovations Sustainability Poisson uncertainty Mean-preserving spread;

References

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  1. Daron Acemoglu, 2001. "Directed Technical Change," NBER Working Papers 8287, National Bureau of Economic Research, Inc.
  2. Ayong Le Kama, Alain D., 2001. "Sustainable growth, renewable resources and pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1911-1918, December.
  3. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  4. Dasgupta, Partha & Stiglitz, Joseph, 1981. "Resource Depletion under Technological Uncertainty," Econometrica, Econometric Society, vol. 49(1), pages 85-104, January.
  5. Rodrigues, João & Domingos, Tiago & Conceição, Pedro & Belbute, José, 2005. "Constraints on dematerialisation and allocation of natural capital along a sustainable growth path," Ecological Economics, Elsevier, vol. 54(4), pages 382-396, September.
  6. Steger, Thomas M., 2005. "Stochastic growth under Wiener and Poisson uncertainty," Economics Letters, Elsevier, vol. 86(3), pages 311-316, March.
  7. Walde, Klaus, 2002. "The economic determinants of technology shocks in a real business cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 1-28, November.
  8. Just, Richard E. & Netanyahu, Sinaia & Olson, Lars J., 2005. "Depletion of natural resources, technological uncertainty, and the adoption of technological substitutes," Resource and Energy Economics, Elsevier, vol. 27(2), pages 91-108, June.
  9. Asheim,G.B. & Buchholz,W. & Tungodden,B., 1999. "Justifying sustainability," Memorandum 08/1999, Oslo University, Department of Economics.
  10. Endress, Lee H. & Roumasset, James A. & Zhou, Ting, 2005. "Sustainable growth with environmental spillovers," Journal of Economic Behavior & Organization, Elsevier, vol. 58(4), pages 527-547, December.
  11. Philippe Aghion & Peter Howitt, 1990. "A Model of Growth Through Creative Destruction," NBER Working Papers 3223, National Bureau of Economic Research, Inc.
  12. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
  13. Robson, Arthur J, 1980. "Costly Innovation and Natural Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 17-30, February.
  14. Grimaud, Andre & Rouge, Luc, 2003. "Non-renewable resources and growth with vertical innovations: optimum, equilibrium and economic policies," Journal of Environmental Economics and Management, Elsevier, vol. 45(2, Supple), pages 433-453, March.
  15. Kamien, Morton I & Schwartz, Nancy L, 1978. "Optimal Exhaustible Resource Depletion with Endogenous Technical Change," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 179-96, February.
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Cited by:
  1. Thanh Le & Cuong Le Van, 2014. "Natural Resources, R&D and Economic Growth," Working Papers 2014-112, Department of Research, Ipag Business School.
  2. Elettra Agliardi, 2011. "Sustainability in Uncertain Economies," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 48(1), pages 71-82, January.

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