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A Duopoly with Common Renewable Resource and Incentives

Author

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  • Luca Grilli

    (Dipartimento di Economia, Università degli Studi di Foggia, Largo Papa Giovanni Paolo II I-71100 Foggia, Italy)

  • Michele Bisceglia

    (Dipartimento di Scienze Aziendali, Economiche e Metodi Quantitativi, Università Degli Studi di Bergamo, Via dei Caniana, 2 24127 Bergamo, Italy)

Abstract

In this paper, we study a duopoly model in which two symmetric firms exploit the same public renewable resource as an input for the production of a homogeneous good. We consider the case where the firms are provided with public incentives in order to prevent the resource exhaustion in a finite time horizon which coincides with the harvesting-license period. As a consequence, we consider a differential game in finite time horizon and compute the Open Loop and linear Feedback Nash Equilibria of the game. We study the social welfare and the optimal incentives polices derived from the solutions.

Suggested Citation

  • 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.
  • Handle: RePEc:wsi:igtrxx:v:19:y:2017:i:04:n:s0219198917500189
    DOI: 10.1142/S0219198917500189
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    References listed on IDEAS

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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. Michele Bisceglia, 2020. "Optimal taxation in a common resource oligopoly game," Journal of Economics, Springer, vol. 129(1), pages 1-31, January.
    3. 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.
    4. 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.
    5. 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.

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