Differential Games in Non–Renewable Resources Extraction
AbstractTraditional economic theory, up to the middle of the twentieth century, builds up the production functions regardless the inputs' scarcity. In the last few decades has been clear that both the inputs are depletable quantities and a lot of constraints are imposed in their usage in order to ensure economic sustainability. Furthermore, the management of exploitation and use of natural resources (either exhaustible or renewable) has been discussed by analyzing dynamic models applying methods of Optimal Control Theory. This theory provides solutions that are concerned with a single decision maker who can control the model dynamics facing a certain performance index to be optimized. In fact, market structures or exploitation patterns are often oligopolistic, i.e. there are several decision makers whose policies influence each other. So, game theoretical approaches are introduced into the discussion. According to the theory of continuous time models of Optimal Control, the appropriate analogue of differential games is used. Roughly, this is the extension of Optimal Control, when there is exactly one decision maker, to the case of decision makers interacting with each other.
Download InfoIf 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.
Bibliographic InfoArticle provided by Association for Sustainable Education, Research and Science in its journal Theoretical and Practical Research in Economic Fields.
Volume (Year): I (2010)
Issue (Month): 2 (December)
Pages: 232 - 243
Contact details of provider:
Web page: http://www.asers.eu/journals/tpref.html
non-renewable resources; dynamic interaction; economic regulation; differential games;
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
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
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.:
- Batabyal, Amitrajeet A., 1995.
"Consistency and Optimality in a Dynamic Game of Pollution Control I: Competition,"
9529, Utah State University, Department of Economics.
- Amitrajeet Batabyal, 1996. "Consistency and optimality in a dynamic game of pollution control I: Competition," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 8(2), pages 205-220, September.
- Batabyal, Amitrajeet A., 1995. "Consistency And Optimality In A Dynamic Game Of Pollution Control I: Competition," Economics Research Institute, ERI Study Papers 28351, Utah State University, Economics Department.
- Dockner, Engelbert & Feichtinger, Gustav & Mehlmann, Alexander, 1989. "Noncooperative solutions for a differential game model of fishery," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 1-20, January.
- Szidarovszky, Ferenc & Yen, Jerome, 1995. "Dynamic Cournot oligopolies with production adjustment costs," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 95-101.
- 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.
- Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer, vol. 2(2), pages 155-90, April.
- Puu, Tonu, 1977. "On the profitability of exhausting natural resources," Journal of Environmental Economics and Management, Elsevier, vol. 4(3), pages 185-199, September.
- Benchekroun, Hassan, 2003. "Unilateral production restrictions in a dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 111(2), pages 214-239, August.
- Benchekroun, Hassan & Van Long, Ngo, 2002. "Transboundary Fishery: A Differential Game Model," Economica, London School of Economics and Political Science, vol. 69(274), pages 207-21, May.
- Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Laura Ungureanu).
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.