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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.

Suggested Citation

  • 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.
  • Handle: RePEc:ufg:qdsems:lg_cart_2004
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    5. 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.
    6. 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.
    7. 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.
    8. Luca Grilli, 2003. "Resource extraction activity: an intergenerational approach," Quaderni DSEMS 01-2003, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    9. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
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    12. 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.
    13. 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.
    14. 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.
    15. Masatoshi Yoshida, 1998. "Nash Equilibrium Dynamics of Environmental and Human Capital," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 5(3), pages 357-377, July.
    16. 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 113-131, February.
    17. 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.
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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.

    More about this item

    Keywords

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

    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

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