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Cyclical and constant strategies in renewable resources extraction

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  • Halkos, George

Abstract

This paper is concerned with the classic topic of intertemporal resource economics: the optimal harvesting of renewable natural resources over time by one and several resource owners with conflicting interests. The traditional management model, dating back to Plourde (1970), is extended towards a two–state model in which harvesting equipment is treated as a stock variable. As a consequence of this extension, an equilibrium dynamics with bifurcations and limit cycles occur. Next we discuss conflicts as a game with two types of players involved: the traditional fishermen armed with the basic equipment and the heavy equipment users. Both players have a common depletion function, thought as harvesting, which is dependent both on personal effort and on intensity of equipment’s usage.

Suggested Citation

  • Halkos, George, 2011. "Cyclical and constant strategies in renewable resources extraction," MPRA Paper 34654, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:34654
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    File URL: https://mpra.ub.uni-muenchen.de/34654/1/MPRA_paper_34654.pdf
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    References listed on IDEAS

    as
    1. Plourde, C G, 1970. "A Simple Model of Replenishable Natural Resource Exploitation," American Economic Review, American Economic Association, vol. 60(3), pages 518-522, June.
    2. Karl Farmer, 2000. "Intergenerational natural-capital equality in an overlapping-generations model with logistic regeneration," Journal of Economics, Springer, vol. 72(2), pages 129-152, June.
    3. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    4. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62(2), pages 124-124.
    5. Smith, Vernon L, 1969. "On Models of Commercial Fishing," Journal of Political Economy, University of Chicago Press, vol. 77(2), pages 181-198, March/Apr.
    6. Clark, Colin W. & Munro, Gordon R., 1975. "The economics of fishing and modern capital theory: A simplified approach," Journal of Environmental Economics and Management, Elsevier, vol. 2(2), pages 92-106, December.
    7. repec:cup:cbooks:9780521637329 is not listed on IDEAS
    8. Berck, Peter, 1981. "Optimal management of renewable resources with growing demand and stock externalities," Journal of Environmental Economics and Management, Elsevier, vol. 8(2), pages 105-117, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Halkos, George & Papageorgiou, George, 2017. "Public debt, pollution and environmental taxes: Nash and Stackelberg equilibria," MPRA Paper 81982, University Library of Munich, Germany.
    2. Halkos, George E. & Papageorgiou, George J. & Halkos, Emmanuel G. & Papageorgiou, John G., 2020. "Public debt games with corruption and tax evasion," Economic Analysis and Policy, Elsevier, vol. 66(C), pages 250-261.
    3. Halkos, George & Papageorgiou, George, 2017. "Public debt, corruption and tax evasion: Nash and Stackelberg equilibria," MPRA Paper 77519, University Library of Munich, Germany.
    4. Halkos, George E. & Papageorgiou, George J., 2018. "Pollution, environmental taxes and public debt: A game theory setup," Economic Analysis and Policy, Elsevier, vol. 58(C), pages 111-120.
    5. Halkos, George & Tsilika, Kyriaki, 2012. "Stability analysis in economic dynamics: A computational approach," MPRA Paper 41371, University Library of Munich, Germany.

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    More about this item

    Keywords

    Renewable resources; exploitation of natural resources; differential games;
    All these keywords.

    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
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General

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