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Resource extraction activity: an intergenerational approach

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  • Luca Grilli

Abstract

The problem of resource extraction (both renewable and nonrenewable) can be studied by considering two important aspects: competition among extractors and intergenerational equity. In resource extraction activity actions of present generations influence the choices of future generation in an obvious way. In order to capture these features we consider a differential game in which players are overlapping generations of extractors, in this way both competition and intergenerational equity are included in the model. An important feature of this model is that, 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. The framework of overlapping generation allows us to consider intragenerational (players in the same generation) and intergenerational (players in different generations) game equilibrium in the contest of differential games with asynchronous horizons.

Suggested Citation

  • Luca Grilli, 2003. "Resource extraction activity: an intergenerational approach," Quaderni DSEMS 01-2003, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    • Handle: RePEc:ufg:qdsems:01-2003
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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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
    9. 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.
    10. 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.
    11. 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.
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    Cited by:

    1. 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.
    2. Marta Biancardi & Lucia Maddalena & Giovanni Villani, 2020. "Groundwater extraction among overlapping generations: a differential game approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 539-556, December.
    3. 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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    More about this item

    Keywords

    Feedback Nash Equilibrium; resource extraction; overlapping generations; asynchronous horizon;
    All these keywords.

    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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