A Stackelberg Differential Game with Overlapping Generations
AbstractWe study a differential game, for the extraction of a renewable resource, in which players are overlapping generations of extractors. The framework of overlapping generation allows us to consider both intragenerational (players in the same generation) and intergenerational (players in different generations) competition. Since we consider overlapping generations, players have asynchronous horizons. We consider the case in which players, even if identical, face competition in an asymmetric way by mean of two different approaches: different costs and Leader-Follower competition. The leader-follower structure, as a consequence of the overlapping generation framework, is not fixed but depends on the time period in which each player is living in. The behaviour of the players can be of two ways: myopic or not myopic.
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 InfoPaper provided by Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia in its series Quaderni DSEMS with number lg_elx_2004.
Date of creation: Jul 2004
Date of revision:
Publication status: Published in Proceedings of VI Spanish Meeting on Game Theory and Pratice, Elche, July 2004, Spain.
Note: pdf file is available on request
Contact details of provider:
Postal: Largo Papa Giovanni Paolo II, 1 -71100- Foggia (I)
Web page: http://www.dsems.unifg.it
More information through EDIRC
Feedback Feedback Nash Equilibrium; resource extraction; overlapping generations; asynchronous horizon; asymmetric players; Stackelberg differential game.;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
This paper has been announced in the following NEP Reports:
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.:
- Burton Peter S., 1993.
"Intertemporal Preferences and Intergenerational Equity Considerations in Optimal Resource Harvesting,"
Journal of Environmental Economics and Management,
Elsevier, vol. 24(2), pages 119-132, March.
- Burton, P.S., 1991. "Intertemporal Preferences and Intergenerational Equity Considerations in Optimal Resource Harvesting," Department of Economics at Dalhousie University working papers archive 91-06, Dalhousie, Department of Economics.
- repec:ags:mareec:48496 is not listed on IDEAS
- Luca Grilli, 2003. "Giochi Differenziali con Orizzonti Asincroni e Applicazioni alla Gestione delle Risorse Rinnovabili," Quaderni DSEMS lg_phd_2003, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
- Kaitala, Veijo, 1993. "Equilibria in a stochastic resource management game under imperfect information," European Journal of Operational Research, Elsevier, vol. 71(3), pages 439-453, December.
- Kemp, Murray C & Long, Ngo Van, 1983. "On the Economics of Forests," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 113-31, February.
- John, A & Pecchenino, R, 1994. "An Overlapping Generations Model of Growth and the Environment," Economic Journal, Royal Economic Society, vol. 104(427), pages 1393-1410, November.
- Chiarella, Carl, et al, 1984. "On the Economics of International Fisheries," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 85-92, February.
- Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, January.
- Mourmouras, Alex, 1993. "Conservationist government policies and intergenerational equity in an overlapping generations model with renewable resources," Journal of Public Economics, Elsevier, vol. 51(2), pages 249-268, June.
- R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Fischer, Ronald D. & Mirman, Leonard J., 1992. "Strategic dynamic interaction : Fish wars," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 267-287, April.
- Luca Grilli, 2003. "Resource extraction activity: an intergenerational approach," Quaderni DSEMS 01-2003, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
- 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.
- Carrera, Carmen & Moran, Manuel, 1995. "General dynamics in overlapping generations models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 813-830, May.
- Riley, John G., 1980. "The just rate of depletion of a natural resource," Journal of Environmental Economics and Management, Elsevier, vol. 7(4), pages 291-307, December.
- Solow, Robert M, 1986. " On the Intergenerational Allocation of Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 141-49.
- Luca Grilli, 2004. "A Differential Game for Renewable Resource Extraction Asymmetric Players and Asynchronous Horizons," Quaderni DSEMS lg_cart_2004, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
- Masatoshi Yoshida, 1998. "Nash Equilibrium Dynamics of Environmental and Human Capital," International Tax and Public Finance, Springer, vol. 5(3), pages 357-377, July.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Luca Grilli).
If references are entirely missing, you can add them using this form.