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The Hartwick rule : myths and facts

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Author Info
Asheim, G.B.
Buchholz, W.
Withagen, C. (Tilburg University, Center for Economic Research)

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Abstract

We shed light on the Hartwick rule for capital accumulation and resource depletion by providing semantic clarifications and investigating the implications and relevance of this rule. We extend earlier results by establishing that the Hartwick rule does not indicate sustainability and does not require substitutability between man-made and natural capital. We use a new class of simple counterexamples (i) to obtain the novel finding that a negative value of net investments need not entail that utility is unsustainable, and (ii) to point out deficiencies in the literature.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 52.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200252

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Find related papers by JEL classification:
D9 - Microeconomics - - Intertemporal Choice and Growth
Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation
Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, vol. 67(5), pages 972-74, December. [Downloadable!] (restricted)
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  2. Cass, David & Mitra, Tapan, 1991. "Indefinitely Sustained Consumption Despite Exhaustible Natural Resources," Economic Theory, Springer, vol. 1(2), pages 119-46, April.
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  3. R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
  4. Kirk Hamilton, 1995. "Sustainable development, the Hartwick rule and optimal growth," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 5(4), pages 393-411, June. [Downloadable!] (restricted)
  5. Asheim, Geir B, 1994. " Net National Product as an Indicator of Sustainability," Scandinavian Journal of Economics, Blackwell Publishing, vol. 96(2), pages 257-65.
  6. 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 133-53, February. [Downloadable!] (restricted)
  7. John C. V. Pezzey, 2002. "One-sided Unsustainability Tests and NNP Measurement with Multiple Consumption Goods," Economics and Environment Network Working Papers 0208, Australian National University, Economics and Environment Network. [Downloadable!]
  8. 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. [Downloadable!] (restricted)
  9. Hannesson, Rognvaldur, 1986. "The Effect of the Discount Rate on the Optimal Exploitation of Renewable Resources," Marine Resource Economics, Marine Resources Foundation, vol. 3(4). [Downloadable!]
  10. Dixit, Avinash & Hammond, Peter & Hoel, Michael, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," Review of Economic Studies, Blackwell Publishing, vol. 47(3), pages 551-56, April. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Pezzey, John C V & Withagen, Cees A, 1998. " The Rise, Fall and Sustainability of Capital-Resource Economies," Scandinavian Journal of Economics, Blackwell Publishing, vol. 100(2), pages 513-27, June. [Downloadable!] (restricted)
  13. Weitzman, Martin L, 1976. "On the Welfare Significance of National Product in a Dynamic Economy," The Quarterly Journal of Economics, MIT Press, vol. 90(1), pages 156-62, February. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Böhringer, Christoph & Jochem, Patrick, 2006. "Measuring the immeasurable : a survey of substainability indices," ZEW Discussion Papers 06-73, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
  2. Francisco Alvarez-Cuadrado & Ngo Van Long, 2007. "A Mixed Bentham-Rawls Criterion For Intergenerational Equity: Theory And Implications," Departmental Working Papers 2007-03, McGill University, Department of Economics. [Downloadable!]
    Other versions:
  3. Bazhanov, Andrei, 2008. "Sustainable growth in a resource-based economy: the extraction-saving relationship," MPRA Paper 12350, University Library of Munich, Germany. [Downloadable!]
  4. BRECHET, Thierry & LAMBRECHT, StŽphane, 2005. "Puzzling over sustainability: an equilibrium analysis," CORE Discussion Papers 2005001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  5. Mota, Rui Pedro & Domingos, Tiago & Martins, Victor, 2008. "Analysis of green net national product and genuine saving in Portugal, 1991 - 2005," MPRA Paper 13347, University Library of Munich, Germany. [Downloadable!]
  6. Mitra, Tapan, 2007. "On Competitive Equitable Paths under Exhaustible Resource Constraints: The Case of a Growing Population," Working Papers 07-05, Cornell University, Center for Analytic Economics. [Downloadable!]
  7. Stavins, Robert & Wagner, Alexander & Wagner, Gernot, 2002. "Interpreting Sustainability in Economic Terms: Dynamic Efficiency Plus Intergenerational Equity," Working Paper Series rwp02-018, Harvard University, John F. Kennedy School of Government. [Downloadable!]
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  8. Hamilton, Kirk & Ruta, Giovanni & Tajibaeva, Liaila, 2005. "Capital accumulation and resources depletion - a Hartwick rule counterfactual," Policy Research Working Paper Series 3480, The World Bank. [Downloadable!]
    Other versions:
  9. BRECHET, Thierry & LAMBRECHT, StŽphane, 2006. "Intertemporal equilibrium with a resource bequest motive," CORE Discussion Papers 2006022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  10. Geir B. Asheim & Wolfgang Buchholz & John M. Hartwick & Tapan Mitra & Cees A. Withagen, 2005. "Constant Savings Rates and Quasi-Arithmetic Population Growth under Exhaustible Resource Constraints," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  11. Heijnen, P., 2008. "The Hartwick rule as a conservation law," CeNDEF Working Papers 08-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
  12. David I. Stern & Cutler J. Cleveland, 2004. "Energy and Economic Growth," Rensselaer Working Papers in Economics 0410, Rensselaer Polytechnic Institute, Department of Economics. [Downloadable!]
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