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The Tragedy of Open Ecosystems

Author

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  • Luc Doyen

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Christophe Pereau

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

Abstract
This paper investigates the role played by cooperation for the sustainable harvesting of an ecosystem. To achieve this, a bio-economic model based on a multi-species dynamics with interspecific relationships and multi-agent catches is considered. A comparison between the non-cooperative and cooperative optimal strategies is carried out. Revisiting the Tragedy of Open Access and over-exploitation issues, it is first proved analytically how harvesting pressure is larger in the non-cooperative case for every species. Then it is examined to what extent gains from cooperation can also be derived for the state of the ecosystem. It turns out that cooperation clearly promotes the conservation of every species when the number of agents is high. When the number of agents remains limited, results are more complicated, especially if a species-by-species viewpoint is adopted. However, we identify two metrics involving the state of every species and accounting for their ecological interactions which exhibit gains from cooperation at the ecosystem scale in the general case. Numerical examples illustrate the mathematical findings.
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Suggested Citation

  • Luc Doyen & Jean-Christophe Pereau, 2016. "The Tragedy of Open Ecosystems," Post-Print hal-02196635, HAL.
  • Handle: RePEc:hal:journl:hal-02196635
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    1. Michael Finus & Alejandro Caparrós (ed.), 2015. "Game Theory and International Environmental Cooperation," Books, Edward Elgar Publishing, number 15345.
    2. William A. Brock & Anastasios Xepapadeas, 2003. "Valuing Biodiversity from an Economic Perspective: A Unified Economic, Ecological, and Genetic Approach," American Economic Review, American Economic Association, vol. 93(5), pages 1597-1614, December.
    3. Agnieszka Wiszniewska-Matyszkiel, 2002. "Discrete Time Dynamic Games With A Continuum Of Players I: Decomposable Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 331-342.
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    10. L. Doyen & A. Cissé & S. Gourguet & L. Mouysset & P.-Y. Hardy & C. Béné & F. Blanchard & F. Jiguet & J.-C. Pereau & O. Thébaud, 2013. "Ecological-economic modelling for the sustainable management of biodiversity," Computational Management Science, Springer, vol. 10(4), pages 353-364, December.
    11. Cissé, A.A. & Gourguet, S. & Doyen, L. & Blanchard, F. & Péreau, J.-C., 2013. "A bio-economic model for the ecosystem-based management of the coastal fishery in French Guiana," Environment and Development Economics, Cambridge University Press, vol. 18(3), pages 245-269, June.
    12. Martin F. Quaas & Till Requate, 2013. "Sushi or Fish Fingers? Seafood Diversity, Collapsing Fish Stocks, and Multispecies Fishery Management," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(2), pages 381-422, April.
    13. Doyen, Luc & Péreau, Jean-Christophe, 2012. "Sustainable coalitions in the commons," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 57-64.
    14. Veijo Kaitala & Marko Lindroos, 2007. "Game Theoretic Applications to Fisheries," International Series in Operations Research & Management Science, in: Andres Weintraub & Carlos Romero & Trond Bjørndal & Rafael Epstein & Jaime Miranda (ed.), Handbook Of Operations Research In Natural Resources, chapter 0, pages 201-215, Springer.
    15. Dutta, Prajit K & Sundaram, Rangarajan K, 1993. "The Tragedy of the Commons?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 413-426, July.
    16. Sanchirico, James N. & Smith, Martin D. & Lipton, Douglas W., 2008. "An empirical approach to ecosystem-based fishery management," Ecological Economics, Elsevier, vol. 64(3), pages 586-596, January.
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    20. repec:hal:journl:hal-01135489 is not listed on IDEAS
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    Cited by:

    1. Helene Gomes & Luc Doyen & Fabian Blanchard & Adrien Lagarde, 2021. "Viable and ecosystem-based management for tropical small-scale fisheries facing climate change," Bordeaux Economics Working Papers 2021-24, Bordeaux School of Economics (BSE).
    2. Dahmouni, Ilyass & Sumaila, Rashid U., 2023. "A dynamic game model for no-take marine reserves," Ecological Modelling, Elsevier, vol. 481(C).
    3. 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.
    4. N. Quérou & A. Tomini, 2018. "Marine Ecosystem Considerations and Second-Best Management," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(2), pages 381-401, June.
    5. Stelios Rozakis & Athanasios Kampas, 2022. "An interactive multi-criteria approach to admit new members in international environmental agreements," Operational Research, Springer, vol. 22(4), pages 3461-3487, September.
    6. Céline Huber & Luc Doyen & Sylvie Ferrari, 2021. "Profitability and conservation goals reconciled through biodiversity offsets," Bordeaux Economics Working Papers 2021-19, Bordeaux School of Economics (BSE).
    7. Ekerhovd, Nils-Arne & Flåm, Sjur Didrik & Steinshamn, Stein Ivar, 2021. "On shared use of renewable stocks," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1125-1135.

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    More about this item

    JEL classification:

    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery

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