A Differential Game on the Management of Natural Capital subject to Emmissions from Industry Production
A nonlinear differential game is developed with the industry and the government as two actors that act independently of each other with different objectives and different time preferences in the second best solution. The industry is concerned about the profit stream from the production of a consumption good when choosing the optimal path of investment rate in physical capital. The current emissions flow generated by production has negative long-run effects on the future renewable natural capital stock. The objectives of the government concern the industry profit stream as well as the evolution of the natural capital stock when choosing the optimal path of tax rate per unit emissions flow. Tax revenue is used for investments to restore and sustain the natural capital stock, which evolves according to a stochastic process. The subgame perfect feedback Nash equilibrium strategies for the industry investment rate and the government tax rate are identified and compared to the optimal controls in the first best solution.
Volume (Year): 141 (2005)
Issue (Month): III (September)
|Contact details of provider:|| Postal: c/o SNB/BNS, Börsenstrasse 15, PO Box 2800, CH-8022 Zürich|
Phone: +41 (0)44 631 32 34
Fax: +41 (0)44 631 39 01
Web page: http://www.sjes.ch
More information through EDIRC
References listed on IDEAS
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.:
- Kaitala, Veijo & Pohjola, Matti & Tahvonen, Olli, 1990.
"Transboundary Air Pollution and Soil Acidification: A Dynamic Analysis of an Acid Rain Game between Finland and the USSR,"
344, The Research Institute of the Finnish Economy.
- Veijo Kaitala & Matti Pohjola & Olli Tahvonen, 1992. "Transboundary air pollution and soil acidification: A dynamic analysis of an acid rain game between Finland and the USSR," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 161-181, March.
- Swanson, Timothy M, 1994. "The Economics of Extinction Revisited and Revised: A Generalised Framework for the Analysis of the Problems of Endangered Species and Biodiversity Losses," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 800-821, Supplemen.
- Clark, Colin W & Clarke, Frank H & Munro, Gordon R, 1979. "The Optimal Exploitation of Renewable Resource Stocks: Problems of Irreversible Investment," Econometrica, Econometric Society, vol. 47(1), pages 25-47, January.
- Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
- Arrow, Kenneth & Bolin, Bert & Costanza, Robert & Dasgupta, Partha & Folke, Carl & Holling, C.S. & Jansson, Bengt-Owe & Levin, Simon & Mäler, Karl-Göran & Perrings, Charles & Pimentel, David, 1996.
"Economic growth, carrying capacity, and the environment,"
Environment and Development Economics,
Cambridge University Press, vol. 1(01), pages 104-110, February.
- Arrow, Kenneth & Bolin, Bert & Costanza, Robert & Dasgupta, Partha & Folke, Carl & Holling, C. S. & Jansson, Bengt-Owe & Levin, Simon & Maler, Karl-Goran & Perrings, Charles & Pimentel, David, 1995. "Economic growth, carrying capacity, and the environment," Ecological Economics, Elsevier, vol. 15(2), pages 91-95, November.
- Yeung, David W. K., 1998. "A class of differential games which admits a feedback solution with linear value functions," European Journal of Operational Research, Elsevier, vol. 107(3), pages 737-754, June.
- Sorger, Gerhard, 1989. "Competitive dynamic advertising : A modification of the Case game," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 55-80, January.
- Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
When requesting a correction, please mention this item's handle: RePEc:ses:arsjes:2005-iii-5. 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: (Peter Steiner)
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.