Resource Depletion and Capital Accumulation under Catastrophic Risk: The Role of Stochastic Thresholds and Stock Pollution
AbstractAn intertemporal optimal strategy for accumulation of reversible capital and management of an exhaustible resource is analyzed for a global economy when resource depletion generates discharges that add to a stock pollutant that affects the likelihood for hitting a tipping point or threshold of unknown location, causing a random“disembodied technical regress”. We characterize the optimal strategy by imposing the notion “precautionary tax” on current extraction. Such a tax will internalize future expected damages or expected welfare loss should a threshold be hit. With reversible capital the presence of a stochastic threshold should speed up accumulation as long as no threshold is hit so as to build up a buffer or stock for future consumption should a threshold be hit.
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Bibliographic InfoPaper provided by Oslo University, Department of Economics in its series Memorandum with number 24/2012.
Length: 31 pages
Date of creation: 07 Sep 2012
Date of revision:
Contact details of provider:
Postal: Department of Economics, University of Oslo, P.O Box 1095 Blindern, N-0317 Oslo, Norway
Phone: 22 85 51 27
Fax: 22 85 50 35
Web page: http://www.oekonomi.uio.no/indexe.html
More information through EDIRC
Catastrophic risk and stochastic thresholds; capital accumulation; precautionary taxation; stock pollution; resource extraction;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects
- Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-17 (All new papers)
- NEP-ENE-2012-11-17 (Energy Economics)
- NEP-ENV-2012-11-17 (Environmental Economics)
- NEP-ORE-2012-11-17 (Operations Research)
- NEP-RES-2012-11-17 (Resource Economics)
- NEP-UPT-2012-11-17 (Utility Models & Prospect Theory)
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- Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
- Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
- Kamien, Morton I. & Schwartz, Nancy L., 1977. "Disaggregated intertemporal models with an exhaustible resource and technical advance," Journal of Environmental Economics and Management, Elsevier, vol. 4(4), pages 271-288, December.
- Kenneth Arrow, 2009.
"A note on uncertainty and discounting in models of economic growth,"
Journal of Risk and Uncertainty,
Springer, vol. 38(2), pages 87-94, April.
- Kenneth Arrow, 2009. "A Note on Uncertainty and Discounting in Models of Economic Growth," Discussion Papers 08-017, Stanford Institute for Economic Policy Research.
- William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
- Arrow, Kenneth J & Kurz, Mordecai, 1970. "Optimal Growth with Irreversible Investment in a Ramsey Model," Econometrica, Econometric Society, vol. 38(2), pages 331-44, March.
- Cropper, M. L., 1976. "Regulating activities with catastrophic environmental effects," Journal of Environmental Economics and Management, Elsevier, vol. 3(1), pages 1-15, June.
- Yacov Tsur & Amos Zemel, 2008. "Regulating environmental threats," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 39(3), pages 297-310, March.
- Levhari, David & Mirman, Leonard J, 1977. "Savings and Consumption with an Uncertain Horizon," Journal of Political Economy, University of Chicago Press, vol. 85(2), pages 265-81, April.
- Hoel, Michael & Karp, Larry, 2002.
"Taxes versus quotas for a stock pollutant,"
Resource and Energy Economics,
Elsevier, vol. 24(4), pages 367-384, November.
- Hoel, Michael & Karp, Larry, 2001. "Taxes versus Quotas for a Stock Pollutant," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt5fx9p7kf, Department of Agricultural & Resource Economics, UC Berkeley.
- Brito, Dagobert L. & Intriligator, Michael D., 1987. "Stock externalities, Pigovian taxation and dynamic stability," Journal of Public Economics, Elsevier, vol. 33(1), pages 59-72, June.
- Clarke, Harry R. & Reed, William J., 1994. "Consumption/pollution tradeoffs in an environment vulnerable to pollution-related catastrophic collapse," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 991-1010, September.
- Tahvonen, Olli & Withagen, Cees, 1996.
"Optimality of irreversible pollution accumulation,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 20(9-10), pages 1775-1795.
- Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages B495-B504, April.
- Tsur, Yacov & Zemel, Amos, 1998. "Pollution control in an uncertain environment," Journal of Economic Dynamics and Control, Elsevier, vol. 22(6), pages 967-975, June.
- Martin L. Weitzman, 2009.
"On Modeling and Interpreting the Economics of Catastrophic Climate Change,"
The Review of Economics and Statistics,
MIT Press, vol. 91(1), pages 1-19, February.
- Weitzman, Martin L., 2009. "On Modeling and Interpreting the Economics of Catastrophic Climate Change," Scholarly Articles 3693423, Harvard University Department of Economics.
- Gollier, Christian, 2002. "Discounting an uncertain future," Journal of Public Economics, Elsevier, vol. 85(2), pages 149-166, August.
- Tsur, Yacov & Zemel, Amos, 1996. "Accounting for global warming risks: Resource management under event uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1289-1305.
- Kamien, Morton I & Schwartz, Nancy L, 1978. "Optimal Exhaustible Resource Depletion with Endogenous Technical Change," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 179-96, February.
- Dasgupta, Partha & Stiglitz, Joseph, 1981. "Resource Depletion under Technological Uncertainty," Econometrica, Econometric Society, vol. 49(1), pages 85-104, January.
- Gollier, Christian & Jullien, Bruno & Treich, Nicolas, 2000.
"Scientific progress and irreversibility: an economic interpretation of the 'Precautionary Principle',"
Journal of Public Economics,
Elsevier, vol. 75(2), pages 229-253, February.
- Gollier & Jullien & Treich, 2000. "Scientific progress and irreversibility : an economic interpretation of the Precautionary principle," Working Papers 156240, Institut National de la Recherche Agronomique, France.
- Asbjørn Torvanger, 1997. "Uncertain climate change in an intergenerational planning model," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 9(1), pages 103-124, January.
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