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The zero discounting and maximin optimal paths in a simple model of global warming

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  • d'Autume, Antoine
  • Hartwick, John M.
  • Schubert, Katheline

Abstract

Following Stollery (1998), we extend the Solow-Dasgupta-Heal model to analyze the effects of global warming. The rise in temperature is caused by the use of fossil resources so that the temperature level can be linked to the remaining stock of these resources. The rise in temperature affects both productivity and utility. We characterize optimal solutions for the maximin and zero discounting cases and present closed-form solutions for the case where the production and utility functions are Cobb-Douglas, and the temperature level is an exponential function of the remaining stock of resources. We show that a greater weight on temperature in intratemporal preferences and a larger intertemporal elasticity of substitution both lead to postponing resource use.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 59 (2010)
Issue (Month): 2 (March)
Pages: 193-207

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Handle: RePEc:eee:matsoc:v:59:y:2010:i:2:p:193-207

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Web page: http://www.elsevier.com/locate/inca/505565

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Keywords: Polluting exhaustible resources Global warming Maximin Zero discounting Sustainability;

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References

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  1. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, April.
  2. Antoine d’Autume & Katheline Schubert, 2008. "Zero discounting and optimal paths of depletion of an exhaustible resource with an amenity value," Revue d'économie politique, Dalloz, vol. 0(6), pages 827-845.
  3. Hans-Werner Sinn, 2007. "Public Policies against Global Warming," CESifo Working Paper Series 2087, CESifo Group Munich.
  4. 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, Wiley Blackwell, vol. 47(3), pages 551-56, April.
  5. Sinn, Hans-Werner, 2008. "Public policies against global warming: A supply side approach," Munich Reprints in Economics 19638, University of Munich, Department of Economics.
  6. Farzin, Y H & Tahvonen, O, 1996. "Global Carbon Cycle and the Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 515-36, October.
  7. Antoine d'Autume & Katheline Schubert, 2008. "Hartwick's rule and maximin paths when the exhaustible resource has an amenity value," Documents de travail du Centre d'Economie de la Sorbonne v08031, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  8. 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.
  9. Mitra, Tapan, 1980. "On Optimal Depletion of Exhaustible Resources: Existence and Characterization Results," Econometrica, Econometric Society, vol. 48(6), pages 1431-50, September.
  10. Kenneth Stollery, 1998. "Constant Utility Paths and Irreversible Global Warming," Canadian Journal of Economics, Canadian Economics Association, vol. 31(3), pages 730-742, August.
  11. Cairns, Robert D. & Long, Ngo Van, 2006. "Maximin: a direct approach to sustainability," Environment and Development Economics, Cambridge University Press, vol. 11(03), pages 275-300, June.
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Cited by:
  1. Vincent Martinet & Ngo Van Long, 2012. "Combining Rights and Welfarism: a new approach to intertemporal evaluation of social alternatives," EconomiX Working Papers 2012-14, University of Paris West - Nanterre la Défense, EconomiX.
  2. Bazhanov, Andrei, 2013. "Inefficiency and Sustainability," MPRA Paper 51815, University Library of Munich, Germany.

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