A Differential Game on the Management of Natural Capital subject to Emmissions from Industry Production
AbstractA 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.
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Bibliographic InfoArticle provided by Swiss Society of Economics and Statistics (SSES) in its journal Swiss Journal of Economics and Statistics.
Volume (Year): 141 (2005)
Issue (Month): III (September)
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Differential games; feedback Nash equilibrium; renewable natural resources; pollution; biodiversity;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy
- Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics
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.:
- 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.
- 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.
- 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,
European Association of Environmental and Resource Economists, vol. 2(2), pages 161-181, March.
- 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," Discussion Papers 344, The Research Institute of the Finnish Economy.
- 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.
- 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, December.
- 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,"
Elsevier, vol. 15(2), pages 91-95, November.
- 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.
- 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, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-61, July-Aug..
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