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Sustainability of an economy with an exhaustible resource: A viable control approach

  • Martinet, V.
  • Doyen, L.

In this article, the authors examine the conditions for the sustainability of a production–consumption system based on the use of an exhaustible natural resource. Instead of studying the environmental and economic interactions in terms of optimal control, they focus on the viability of the system, defined by a set of constraints combining guaranteed consumption and a stock of resources to be preserved at all times, which refers to a Rawlsian intergenerational equity perspective. Using the mathematical concept of viability kernel, which makes it possible to deal with the consistency between constraints and controlled dynamics, they exhibit the sustainable technological configurations and, whenever possible, the policy options and environmental economic states required to obtain a perennial system. They point out the flexibility of the sustainable ‘‘extraction–consumption’’ choices and they show how they are neither reduced to constant consumption paths nor to Hartwick’s rule. Numerical simulations illustrate the general results.

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

Volume (Year): 29 (2007)
Issue (Month): 1 (January)
Pages: 17-39

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Handle: RePEc:eee:resene:v:29:y:2007:i:1:p:17-39
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505569

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  1. Bene, C. & Doyen, L. & Gabay, D., 2001. "A viability analysis for a bio-economic model," Ecological Economics, Elsevier, vol. 36(3), pages 385-396, March.
  2. Howarth, Richard B., 1991. "Intergenerational competitive equilibria under technological uncertainty and an exhaustible resource constraint," Journal of Environmental Economics and Management, Elsevier, vol. 21(3), pages 225-243, November.
  3. Burton Peter S., 1993. "Intertemporal Preferences and Intergenerational Equity Considerations in Optimal Resource Harvesting," Journal of Environmental Economics and Management, Elsevier, vol. 24(2), pages 119-132, March.
  4. Olson, Lars J. & Knapp, Keith C., 1997. "Exhaustible Resource Allocation in an Overlapping Generations Economy," Journal of Environmental Economics and Management, Elsevier, vol. 32(3), pages 277-292, March.
  5. John Hartwick, 1976. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," Working Papers 220, Queen's University, Department of Economics.
  6. Daly, Herman E., 1990. "Toward some operational principles of sustainable development," Ecological Economics, Elsevier, vol. 2(1), pages 1-6, April.
  7. L. Doyen & C Bene, 2003. "Sustainability of fisheries through marine reserves: a robust modeling analysis," Post-Print hal-00716683, HAL.
  8. Chichilnisky, Graciela & Heal, Geoffrey & Beltratti, Andrea, 1995. "The Green Golden Rule," Economics Letters, Elsevier, vol. 49(2), pages 175-179, August.
  9. Butterfield, David W., 2003. "Resource depletion under uncertainty: implications for mine depreciation, Hartwick's Rule and national accounting," Resource and Energy Economics, Elsevier, vol. 25(3), pages 219-238, August.
  10. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
  11. Graciela Chichilnisky, 1996. "An axiomatic approach to sustainable development," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 231-257, April.
  12. Gerlagh, Reyer & Keyzer, Michiel A., 2003. "Efficiency of conservationist measures: an optimist viewpoint," Journal of Environmental Economics and Management, Elsevier, vol. 46(2), pages 310-333, September.
  13. Howarth, Richard B., 1991. "Intertemporal equilibria and exhaustible resources: an overlapping generations approach," Ecological Economics, Elsevier, vol. 4(3), pages 237-252, December.
  14. Heal, G., 1998. "Valuing the Future: Economic Theory and Sustainability," Papers 98-10, Columbia - Graduate School of Business.
  15. Bonneuil, Noel, 1994. "Capital Accumulation, Inertia of Consumption and Norms of Reproduction," Journal of Population Economics, Springer;European Society for Population Economics, vol. 7(1), pages 49-62.
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