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Sustainable development, the Hartwick rule and optimal growth

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  • Kirk Hamilton

Abstract

Defining sustainable development as non-declining utility, the consistency of this concept with the Hartwick rule and optimal growth is explored when resources are exhaustible. A simple proof that a generalized Hartwick rule is necessary and sufficient for constant consumption is derived. The existence of a maximal constant consumption path is shown to depend critically on the elasticity of substitution; if this is less than 1, consumption declines; if it is greater than 1 then consumption is not maximal; if it is equal to 1 (the Cobb-Douglas case) then existence is proved. Consumption can increase along an optimal path if the pure rate of time preference is 0; if it is non-zero then consumption declines. Copyright Kluwer Academic Publishers 1995

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  • Kirk Hamilton, 1995. "Sustainable development, the Hartwick rule and optimal growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 5(4), pages 393-411, June.
    • Handle: RePEc:kap:enreec:v:5:y:1995:i:4:p:393-411
    DOI: 10.1007/BF00691576
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    Cited by:

    1. David Pearce & Giles Atkinson, 1998. "The concept of sustainable development: An evaluation of its usefulness ten years after Brundtland," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 134(III), pages 251-269, September.
    2. Thomas Aronsson & Karl-Gustaf Löfgren (ed.), 2010. "Handbook of Environmental Accounting," Books, Edward Elgar Publishing, number 12796.
    3. Anil Markandya & Suzette Pedroso-Galinato, 2007. "How substitutable is natural capital?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(1), pages 297-312, May.
    4. Mitra, Tapan, 2002. "Intertemporal Equity and Efficient Allocation of Resources," Journal of Economic Theory, Elsevier, vol. 107(2), pages 356-376, December.
    5. Toman, Michael & Pezzey, John C., 2002. "The Economics of Sustainability: A Review of Journal Articles," RFF Working Paper Series dp-02-03, Resources for the Future.
    6. 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.
    7. John L. Pender, 1998. "Population growth, agricultural intensification, induced innovation and natural resource sustainability: An application of neoclassical growth theory," Agricultural Economics, International Association of Agricultural Economists, vol. 19(1-2), pages 99-112, September.
    8. van Krevel, Charan & Peters, Marlou, 2024. "How natural resource rents, exports, and government resource revenues determine Genuine Savings: Causal evidence from oil, gas, and coal," World Development, Elsevier, vol. 181(C).
    9. Jeroen C.J.M. van den Bergh & Marjan W. Hofkes, 1997. "A Survey of Economic Modelling of Sustainable Development," Tinbergen Institute Discussion Papers 97-107/3, Tinbergen Institute.
    10. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    11. Perrings, Charles, 2014. "Environment and development economics 20 years on," Environment and Development Economics, Cambridge University Press, vol. 19(3), pages 333-366, June.
    12. Withagen, Cees & B. Asheim, Geir, 1998. "Characterizing sustainability: The converse of Hartwick's rule," Journal of Economic Dynamics and Control, Elsevier, vol. 23(1), pages 159-165, September.
    13. Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2007. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Journal of Environmental Economics and Management, Elsevier, vol. 53(2), pages 213-229, March.
    14. Wolfgang Buchholz & Swapan Dasgupta & Tapan Mitra, 2005. "Intertemporal Equity and Hartwick's Rule in an Exhaustible Resource Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(3), pages 547-561, September.
    15. Wei, Zhao & Huang, Lihua, 2022. "Does renewable energy matter to achieve sustainable development? Fresh evidence from ten Asian economies," Renewable Energy, Elsevier, vol. 199(C), pages 759-767.
    16. 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.
    17. Kirk Hamilton & John M. Hartwick, 2005. "Investing exhaustible resource rents and the path of consumption," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(2), pages 615-621, May.
    18. Randall, Alan, 2008. "Is Australia on a sustainability path? Interpreting the clues," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 52(1), pages 1-19.
    19. Alessio Emanuele BIONDO, 2010. "A Growth Rate for a Sustainable Economy," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 5(2(12)/Sum), pages 7-20.
    20. Santopietro, George D., 1998. "Alternative methods for estimating resource rent and depletion cost: the case of Argentina's YPF," Resources Policy, Elsevier, vol. 24(1), pages 39-48, March.
    21. Kirk Hamilton & Esther Naikal, 2014. "Genuine saving as an indicator of sustainability," Chapters, in: Giles Atkinson & Simon Dietz & Eric Neumayer & Matthew Agarwala (ed.), Handbook of Sustainable Development, chapter 22, pages 336-347, Edward Elgar Publishing.

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