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A Differential Game for Renewable Resource Extraction Asymmetric Players and Asynchronous Horizons

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  • Luca Grilli

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Abstract

In this paper we study a differential game, for resource extraction of a renewable good, in which players are overlapping generations of extractors. The framework of overlapping generation allows us to consider intragenerational (players in the same generation) and intergenerational (players in different generations) game equilibrium. We consider the case in which players, even if identical, face competition in an asymmetric way. Since we consider overlapping generations, players have asynchronous horizons, in contrast with a number of studies in intertemporal exploitation of resources in which players have identical time horizons.

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Bibliographic Info

Paper provided by Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia in its series Quaderni DSEMS with number lg_cart_2004.

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Date of creation: Mar 2004
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Publication status: Published in Proceedings of I International Andean Conference and III Colombian Congress on Operation Research - CCIO 2004 - Cartagena de Indias, Colombia.
Handle: RePEc:ufg:qdsems:lg_cart_2004

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Keywords: Feedback Nash Equilibrium; resource extraction; overlapping generations; asynchronous horizon; asymmetric players.;

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References

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  1. 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.
  2. R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
  3. Masatoshi Yoshida, 1998. "Nash Equilibrium Dynamics of Environmental and Human Capital," International Tax and Public Finance, Springer, vol. 5(3), pages 357-377, July.
  4. 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.
  5. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. Luca Grilli, 2003. "Resource extraction activity: an intergenerational approach," Quaderni DSEMS 01-2003, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
  13. 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.
  14. Solow, Robert M, 1986. " On the Intergenerational Allocation of Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 141-49.
  15. 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.
  16. 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.
  17. 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.
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Cited by:
  1. Luca Grilli, 2004. "A Stackelberg Differential Game with Overlapping Generations," Quaderni DSEMS lg_elx_2004, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.

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