Advanced Search
MyIDEAS: Login to save this paper or follow this series

Hartwick's rule and maximin paths when the exhaustible resource has an amenity value

Contents:

Author Info

Abstract

This paper studies the maximin paths of the canonical Dasgupta-Heal-Solow model when the stock of natural capital is a direct argument of well-being, besides consumption. Hartwick's rule then appears as an efficient tool to characterize solutions in a variety of settings. We start with the case without technical progress. We obtain an explicit solution of the mmaximin problem in the case where production and utility are Cobb-Douglas. When the utility function is CES with a low elasticity of substitution between consumption and natural capital, we show taht it is optimal to preserve forever a critical level of natural capital, determined endogeneously. We then study how technical progress affects the optimal maximin paths, in the Cobb-Douglas utility case. On the long run path of the economy capital, production and consumption grow at a common constant rate, while the resource stock decreases at a constant rate and is therefore completely depleted in the very long run. A higher amenity value of the resource stock leads to faster economic growth, but to a lower long run rate of depletion. We then develop a complete analysis of the dynamics of the maximin problem when the sole source of well-being is consumption, and provide a numerical resoultion of the model with resource amenity. The economy consumes, produces and invests less in the short run if the resource has an amenity value than if doesn't whereas it is the contrary in the medium and long runs. However, and without surprise, the resource stock remains for ever higher with resource amenity than without.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2008/V08031.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number v08031.

as in new window
Length: 35 pages
Date of creation: Apr 2008
Date of revision:
Handle: RePEc:mse:cesdoc:v08031

Contact details of provider:
Postal: 106-112 boulevard de l'Hôpital 75 647 PARIS CEDEX 13
Phone: + 33 44 07 81 00
Fax: + 33 1 44 07 83 01
Web page: http://centredeconomiesorbonne.univ-paris1.fr/
More information through EDIRC

Related research

Keywords: Exhaustible resources; sustainability; Hartwick's rule.;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Louis Dupuy, 2012. "International Trade and Sustainability : A survey," Working Papers hal-00701426, HAL.
  2. Bazhanov, Andrei, 2013. "Inefficiency and Sustainability," MPRA Paper 51815, University Library of Munich, Germany.
  3. Bazhanov, Andrei, 2012. "Disregarded inefficiency may dominate sustainability policies," MPRA Paper 43621, University Library of Munich, Germany.
  4. Martinet, Vincent, 2011. "A characterization of sustainability with indicators," Journal of Environmental Economics and Management, Elsevier, vol. 61(2), pages 183-197, March.
  5. Lucas Bretschger, 2013. "Population Growth and Natural-Resource Scarcity: Long-Run Development under Seemingly Unfavorable Conditions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(3), pages 722-755, 07.
  6. Bazhanov, Andrei, 2010. "A closed form solution to Stollery's global warming problem with temperature in utility," MPRA Paper 22406, University Library of Munich, Germany.
  7. Antoine D'Autume & Katheline Schubert, 2008. "Zero discounting and optimal paths of depletion of an exhaustible resource with an amenity value," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00976395, HAL.
  8. Greasley, David & Hanley, Nicholas & McLaughlin, Eoin & Oxley, Les & Warde, Paul, 2012. "Testing for long-run "sustainability": Genuine Savings estimates for B ritain, 1760-2000," Stirling Economics Discussion Papers 2012-05, University of Stirling, Division of Economics.
  9. repec:hal:cesptp:halshs-00547282 is not listed on IDEAS
  10. Bazhanov, Andrei, 2011. "Investment and resource policy under a modified Hotelling rule," MPRA Paper 32428, University Library of Munich, Germany.
  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.
  12. repec:laf:wpaper:201201 is not listed on IDEAS
  13. Cairns, Robert D. & Tian, Huilan, 2010. "Sustained development of a society with a renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1048-1061, June.
  14. Andrei V. Bazhanov, 2009. "A constant-utility criterion linked to an imperfect economy affected by irreversible global warming," EERI Research Paper Series EERI_RP_2009_03, Economics and Econometrics Research Institute (EERI), Brussels.
  15. d'Autume, Antoine & Hartwick, John M. & Schubert, Katheline, 2010. "The zero discounting and maximin optimal paths in a simple model of global warming," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 193-207, March.
  16. Sachverständigenrat zur Begutachtung der Gesamtwirtschaftlichen Entwicklung & Conseil d'‘Analyse � (ed.), 2010. "Monitoring economic performance, quality of life and sustainability. Joint report as requested by the Franco-German Ministerial Council," Occasional Reports / Expertisen, German Council of Economic Experts / Sachverständigenrat zur Begutachtung der gesamtwirtschaftlichen Entwicklung, number 75366.
  17. Susan Randolph & Patrick Guyer, 2011. "Tracking the Historical Evolution of States' Compliance with their Economics and Social Rights Obligations of Result: Insights from the Historical SERF Index," Economic Rights Working Papers 18, University of Connecticut, Human Rights Institute.
  18. Andrei Bazhanov, 2012. "A Closed-Form Solution to Stollery’s Problem with Damage in Utility," Computational Economics, Society for Computational Economics, vol. 39(4), pages 365-386, April.
  19. Bazhanov, Andrei, 2011. "Investment and current utility change in dynamically inefficient economies," MPRA Paper 35487, University Library of Munich, Germany.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:mse:cesdoc:v08031. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Lucie Label).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.