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Indefinitely Sustained Consumption Despite Exhaustible Natural Resources

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  • Cass, David
  • Mitra, Tapan

Abstract

This paper analyzes the feasibility of sustaining uniformly positive consumption forever--even when flows of exhaustible resources are an indispensable input. The main result is a characterization of an economy's capability for sustaining such consumption--under quite general maintained assumptions on technology--in terms of a single, simple capital-resource substitution condition.

Suggested Citation

  • Cass, David & Mitra, Tapan, 1991. "Indefinitely Sustained Consumption Despite Exhaustible Natural Resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 119-146, April.
  • Handle: RePEc:spr:joecth:v:1:y:1991:i:2:p:119-46
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    Cited by:

    1. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    2. Geir B. Asheim, 1996. "Ethical preferences in the presence of resource constraints," Nordic Journal of Political Economy, Nordic Journal of Political Economy, vol. 23, pages 55-67.
    3. Mitra, Tapan & Asheim, Geir B. & Buchholz, Wolfgang & Withagen, Cees, 2013. "Characterizing the sustainability problem in an exhaustible resource model," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2164-2182.
    4. Asheim, Geir B. & Mitra, Tapan, 2010. "Sustainability and discounted utilitarianism in models of economic growth," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 148-169, March.
    5. Geir Asheim & Wolfgang Buchholz & Cees Withagen, 2003. "The Hartwick Rule: Myths and Facts," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 25(2), pages 129-150, June.
    6. Zuber, Stéphane & Asheim, Geir B., 2012. "Justifying social discounting: The rank-discounted utilitarian approach," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.
    7. Michel Moreaux & Jean-Pierre Amigues, 2008. "Efficient and Optimal Capital Accumulation under a Non Renewable Resource Constraint," Revue d'économie politique, Dalloz, vol. 118(6), pages 791-825.
    8. AMIGUES Jean-Pierre & MOREAUX Michel, 2008. "Efficient and Optimal Capital Accumulation and Non Renewable Resource Depletion: The Hartwick Rule in a Two Sector Model," LERNA Working Papers 08.14.258, LERNA, University of Toulouse.
    9. Yu, Yun & Lei, Yalin, 2017. "China's provincial exhaustible resources rent and produced capital stock—Based on Hartwick's rule," Resources Policy, Elsevier, vol. 52(C), pages 114-121.
    10. Geir B. Asheim, 2017. "Sustainable growth," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 825-848, December.
    11. Mitra, Tapan, 2002. "Intertemporal Equity and Efficient Allocation of Resources," Journal of Economic Theory, Elsevier, vol. 107(2), pages 356-376, December.
    12. Gerlagh, Reyer & van der Zwaan, B. C. C., 2002. "Long-Term Substitutability between Environmental and Man-Made Goods," Journal of Environmental Economics and Management, Elsevier, vol. 44(2), pages 329-345, September.
    13. Agnani, Betty & Gutierrez, Maria-Jose & Iza, Amaia, 2005. "Growth in overlapping generation economies with non-renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 387-407, September.
    14. Geir B. Asheim & Wolfgang Buchholz, 2000. "The Malleability of Undiscounted Utilitarianism as a Criterion of Intergenerational Justice," CESifo Working Paper Series 392, CESifo.
    15. Francis E. Raymond, 2024. "Connecting Classical and Early Neoclassical Views on Savings and Capital Formation to Modern Growth Theory Through the Lens of F. P. Ramsey," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 50(1), pages 54-78, January.
    16. Tapan Mitra, 2008. "On competitive equitable paths under exhaustible resource constraints: The case of a growing population," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(1), pages 53-76, March.
    17. Liuchun Deng & Minako Fujio & M. Ali Khan, 2022. "On Sustainability and Survivability in the Matchbox Two-Sector Model: A Complete Characterization of Optimal Extinction," Papers 2202.02209, arXiv.org.

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