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Savings growth and the path of utility

Author

Listed:
  • Kirk Hamilton
  • Cees Withagen
Abstract
. We derive an expression relating the change in instantaneous utility to the growth of net (genuine) saving in an economy with multiple stocks and externalities that maximizes welfare in the utilitarian sense. This result is then shown to hold for decentralized competitive efficient economies as well, to yield an extension of the Hartwick rule: instantaneous utility is non‐declining along a development path if genuine saving is decreasing. By way of example the rule is applied as a constant genuine saving rate rule in a simple Dasgupta‐Heal‐Solow‐Stiglitz economy. The rule yields a path with unbounded consumption and higher wealth than on the standard Hartwick constant consumption path. l'auteur dérive une relation entre le changement d'utilité instantanée et la croissance de l'épargne nette (véritable) dans une économie à multiples stocks et externalités qui maximise le bien‐être dans un sens utilitariste. On montre que ce résultat tient pour des économies compétitives efficientes décentralisées, et donc génère une extension de la règle de Hartwick : l'utilité instantanée ne décline pas au fil d'un sentier de développement si l'épargne véritable décroît. On applique la règle en tant que règle de taux constant d'épargne véritable dans une économie à la Dasgupta‐Heal‐Solow‐Stiglitz. La règle engendre un sentier où la consommation n'est pas limitée et la richesse est plus grande que pour le sentier standard de consommation constante à la Hartwick.

Suggested Citation

  • Kirk Hamilton & Cees Withagen, 2007. "Savings growth and the path of utility," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 40(2), pages 703-713, May.
    • Handle: RePEc:wly:canjec:v:40:y:2007:i:2:p:703-713
    DOI: 10.1111/j.1365-2966.2007.00427.x
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    References listed on IDEAS

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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. Hamilton, Kirk & Clemens, Michael, 1999. "Genuine Savings Rates in Developing Countries," The World Bank Economic Review, World Bank, vol. 13(2), pages 333-356, May.
    3. Kirk Hamilton & John Hartwick, 2005. "Investing exhaustible resource rents and the path of consumption," Canadian Journal of Economics, Canadian Economics Association, vol. 38(2), pages 615-621, May.
    4. Geir B. Asheim & Wolfgang Buchholz, 2004. "A General Approach to Welfare Measurement through National Income Accounting," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 361-384, June.
    5. John Hartwick, 1977. "Intergenerational Equity and the Investment of Rents from Exhaustible Resources in a Two Sector Model," Working Paper 281, Economics Department, Queen's University.
    6. Vellinga, Nico & Withagen, Cees, 1996. "On the Concept of Green National Income," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 499-514, October.
    7. 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.
    8. Dasgupta, Partha & Mäler, Karl-Göran, 2000. "Net national product, wealth, and social well-being," Environment and Development Economics, Cambridge University Press, vol. 5(1), pages 69-93, February.
    9. 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.
    10. Mitra, Tapan, 1983. "Limits on Population Growth under Exhaustible Resource Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 155-168, February.
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    12. Pezzey, J.C.V.John C. V., 2004. "One-sided sustainability tests with amenities, and changes in technology, trade and population," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 613-631, July.
    13. 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.
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    More about this item

    JEL classification:

    • Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products

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