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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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    1. Avinash Dixit & Peter Hammond & Michael Hoel, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 551-556.
    2. George Masnick & Jean Bourgeois-Pichat & T. Schultz, 1974. "Review symposium," Demography, Springer;Population Association of America (PAA), vol. 11(2), pages 337-360, May.
    3. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    4. Hartwick, John M., 1990. "Natural resources, national accounting and economic depreciation," Journal of Public Economics, Elsevier, vol. 43(3), pages 291-304, December.
    5. Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, vol. 67(5), pages 972-974, December.
    6. Thomas Burch & A. Keir Nash, 1974. "Review symposium," Demography, Springer;Population Association of America (PAA), vol. 11(1), pages 151-166, February.
    7. John M. Hartwick, 1978. "Substitution Among Exhaustible Resources and Intergenerational Equity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(2), pages 347-354.
    8. John Aird & W. Borrle & Janet Salaff, 1974. "Review symposium," Demography, Springer;Population Association of America (PAA), vol. 11(4), pages 695-708, November.
    9. Solow, Robert M, 1986. " On the Intergenerational Allocation of Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 141-149.
    10. Dasgupta, Swapan & Mitra, Tapan, 1983. "Intergenerational Equity and Efficient Allocation of Exhaustible Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 133-153, February.
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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. 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.
    9. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    10. Perrings, Charles, 2014. "Environment and development economics 20 years on," Environment and Development Economics, Cambridge University Press, vol. 19(3), pages 333-366, June.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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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