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A great fish war model with asymmetric players

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  • Breton, Michèle
  • Keoula, Michel Yevenunye

Abstract

This paper analyzes the coalitional Great Fish War model under the assumption that players differ in their time preferences and use different discount rates. We derive the equilibrium payoffs of this coalitional game and investigate the impact of the asymmetry assumption on the extreme schemes of cooperative and non-cooperative equilibria. We then proceed to the computation of stable coalitions using time-consistent harvest-sharing policies for the partial coordination scheme, in the case where players are divided into two groups (high and low discount rates). We find that asymmetry has a significant impact on the way the resource is shared and on the profitability of coalitions. We also find that asymmetry is not a sufficient feature to overcome the puzzle of small coalitions.

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  • Breton, Michèle & Keoula, Michel Yevenunye, 2014. "A great fish war model with asymmetric players," Ecological Economics, Elsevier, vol. 97(C), pages 209-223.
    • Handle: RePEc:eee:ecolec:v:97:y:2014:i:c:p:209-223
    DOI: 10.1016/j.ecolecon.2013.11.002
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    Cited by:

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    2. Walker, Adam N. & Weikard, Hans-Peter & Richter, Andries, 2015. "The Rise and Fall of the Great Fish Pact under Endogenous Risk of Stock Collapse," Climate Change and Sustainable Development 206466, Fondazione Eni Enrico Mattei (FEEM).
    3. Agnieszka Wiszniewska-Matyszkiel & Rajani Singh, 2020. "When Inaccuracies in Value Functions Do Not Propagate on Optima and Equilibria," Mathematics, MDPI, vol. 8(7), pages 1-25, July.
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    5. Guillaume Bataille & Benteng Zou, 2024. "International Fisheries Agreements: Endogenous Exits, Shapley Values, and Moratorium Fishing Policy," DEM Discussion Paper Series 24-06, Department of Economics at the University of Luxembourg.
    6. Guillaume Bataille & Benteng Zou, 2024. "International Fisheries Agreements: Endogenous Exits, Shapley Values, and Moratorium Fishing Policy," AMSE Working Papers 2421, Aix-Marseille School of Economics, France.
    7. Rajani Singh & Agnieszka Wiszniewska-Matyszkiel, 2020. "A class of linear quadratic dynamic optimization problems with state dependent constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 91(2), pages 325-355, April.
    8. L. Doyen & A. A. Cissé & N. Sanz & F. Blanchard & J.-C. Pereau, 2018. "The Tragedy of Open Ecosystems," Dynamic Games and Applications, Springer, vol. 8(1), pages 117-140, March.
    9. Can Askan Mavi & Nicolas Quérou, 2020. "Common pool resource management and risk perceptions," DEM Discussion Paper Series 20-25, Department of Economics at the University of Luxembourg.
    10. Can Askan Mavi & Nicolas Quérou, 2020. "Common pool resource management and risk perceptions," CEE-M Working Papers hal-03052114, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
    11. Florian K. Diekert & Emmi Nieminen, 2017. "International Fisheries Agreements with a Shifting Stock," Dynamic Games and Applications, Springer, vol. 7(2), pages 185-211, June.
    12. Lu, Lijue & Marín-Solano, Jesús & Navas, Jorge, 2019. "An analysis of efficiency of time-consistent coordination mechanisms in a model of supply chain management," European Journal of Operational Research, Elsevier, vol. 279(1), pages 211-224.
    13. Denis Kuzyutin & Nadezhda Smirnova, 2023. "Sustainable Cooperation in a Bicriteria Game of Renewable Resource Extraction," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
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    15. Kuzyutin, Denis & Smirnova, Nadezhda, 2023. "A dynamic multicriteria game of renewable resource extraction with environmentally concerned players," Economics Letters, Elsevier, vol. 226(C).

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