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Feedback Equilibria in a Dynamic Renewable Resource Oligopoly: Pre-Emption, Voracity and Exhaustion

Author

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  • Luca Lambertini

    (Department of Economics, University of Bologna, Italy; ENCORE, University of Amsterdam, The Netherlands; Barcelona Institute of Economics (IEB), Spain; RCEA, Rimini, Italy)

  • Andrea Mantovani

    (Department of Economics, University of Bologna, Italy; Barcelona Institute of Economics (IEB), Spain; RCEA, Rimini, Italy)

Abstract

We revisit Benchekroun (2008) to describe a differential oligopoly game of resource extraction under static, linear feedback and nonlinear feedback strategies, to show that (i) feedback rules entail resource exhaustion for a finite number of firms; and (ii) feedback strategies are more aggressive than static ones as long as the resource stock is large enough, in accordance with the acquired view based on the traditional pre-emption argument associated with feedback information.

Suggested Citation

  • Luca Lambertini & Andrea Mantovani, 2013. "Feedback Equilibria in a Dynamic Renewable Resource Oligopoly: Pre-Emption, Voracity and Exhaustion," Working Paper series 56_13, Rimini Centre for Economic Analysis.
    • Handle: RePEc:rim:rimwps:56_13
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    Citations

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    Cited by:

    1. Benchekroun, Hassan & Ray Chaudhuri, Amrita & Tasneem, Dina, 2020. "On the impact of trade in a common property renewable resource oligopoly," Journal of Environmental Economics and Management, Elsevier, vol. 101(C).
    2. Tasneem, Dina & Engle-Warnick, Jim & Benchekroun, Hassan, 2017. "An experimental study of a common property renewable resource game in continuous time," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 91-119.
    3. L. Lambertini & G. Leitmann, 2017. "On the attainment of the maximum sustainable yield in the Verhulst-Lotka-Volterra model," Working Papers wp1112, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. Koji Okuguchi & Takeshi Yamazaki, 2018. "Existence of Unique Equilibrium in Cournot Mixed Oligopoly," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-13, September.
    5. L. Lambertini, 2014. "On the Interplay between Resource Extraction and Polluting Emissions in Oligopoly," Working Papers wp976, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Luca Lambertini & Arsen Palestini, 2018. "Voluntary Export Restraints in a Trade Model with Sticky Price: Linear and Nonlinear Feedback Solutions," Dynamic Games and Applications, Springer, vol. 8(3), pages 507-518, September.
    7. Luca Grilli & Michele Bisceglia, 2020. "A dynamic private property resource game with asymmetric firms," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 109-127, June.
    8. N. Baris Vardar & Georges Zaccour, 2020. "Exploitation of a Productive Asset in the Presence of Strategic Behavior and Pollution Externalities," Mathematics, MDPI, vol. 8(10), pages 1-28, October.
    9. Benchekroun, Hassan & Long, Ngo Van, 2016. "Status concern and the exploitation of common pool renewable resources," Ecological Economics, Elsevier, vol. 125(C), pages 70-82.
    10. Lambertini, Luca, 2021. "Regulating the tragedy of commons: Nonlinear feedback solutions of a differential game with a dual interpretation," Energy Economics, Elsevier, vol. 100(C).
    11. Lambertini, Luca & Mantovani, Andrea, 2016. "On the (in)stability of nonlinear feedback solutions in a dynamic duopoly with renewable resource exploitation," Economics Letters, Elsevier, vol. 143(C), pages 9-12.
    12. Feichtinger, Gustav & Lambertini, Luca & Leitmann, George & Wrzaczek, Stefan, 2022. "Managing the tragedy of commons and polluting emissions: A unified view," European Journal of Operational Research, Elsevier, vol. 303(1), pages 487-499.
    13. Luca Lambertini, 2016. "Managerial Delegation in a Dynamic Renewable Resource Oligopoly," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Peter M. Kort & Andrea Seidl (ed.), Dynamic Perspectives on Managerial Decision Making, pages 93-107, Springer.
    14. Luca Grilli & Michele Bisceglia, 2017. "A Duopoly with Common Renewable Resource and Incentives," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-20, December.
    15. Luca Grilli & Michele Bisceglia, 2017. "A differential game in a duopoly with instantaneous incentives," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 317-333, November.

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    More about this item

    Keywords

    dynamic oligopoly; renewable resources; feedback strategies;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation

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