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Coalition Formation In Straddling Stock Fisheries: A Partition Function Approach

Author

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  • PEDRO PINTASSILGO

    (Faculty of Economics, University of Algarve, Campus de Gambelas, 8005-139, Faro, Portugal)

  • MARKO LINDROOS

    (Department of Economics and Management, P. O. Box 27, 00014 University of Helsinki, Finland)

Abstract

In this paper the management of straddling fish stocks is approached through a coalition game in partition function form. A two-stage game is applied, assumingex antesymmetric players and the classical Gordon-Schaefer bioeconomic model. It is shown that the game is characterized by positive externalities — the merger of coalitions increases the payoffs of players who belong to other coalitions. A key result is that, apart from the case of two players, the grand coalition is not a Nash equilibrium outcome. Furthermore, in the case of three or more players the only Nash equilibrium coalition structure is the one formed by singletons. The results indicate that the prospects of cooperation in straddling stock fisheries are low if players can free ride cooperative agreements. Thus, in order to protect cooperation, under the aegis of regional fishery management organizations, unregulated fishing must be prevented.

Suggested Citation

  • Pedro Pintassilgo & Marko Lindroos, 2008. "Coalition Formation In Straddling Stock Fisheries: A Partition Function Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 303-317.
  • Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:03:n:s0219198908001959
    DOI: 10.1142/S0219198908001959
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    References listed on IDEAS

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    1. Michael Finus & Alejandro Caparrós (ed.), 2015. "Game Theory and International Environmental Cooperation," Books, Edward Elgar Publishing, number 15345.
    2. Pham Do, K.H. & Folmer, H., 2003. "International Fisheries Agreements : The Feasibility and Impacts of Partial Cooperation," Discussion Paper 2003-52, Tilburg University, Center for Economic Research.
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    Cited by:

    1. By Michael Finus & Raoul Schneider, 2015. "Scope and compatibility of measures in international fisheries agreements," Oxford Economic Papers, Oxford University Press, vol. 67(4), pages 865-888.
    2. Michael Finus & Raoul Schneider & Pedro Pintassilgo, 2011. "The Incentive Structure of Impure Public Good Provision – The Case of International Fisheries," Discussion Papers 1103, University of Exeter, Department of Economics.
    3. Bayramoglu, Basak & Copeland, Brian R. & Jacques, Jean-Francois, 2018. "Trade and fisheries subsidies," Journal of International Economics, Elsevier, vol. 112(C), pages 13-32.
    4. Pedro Pintassilgo & Lone Kronbak & Marko Lindroos, 2015. "International Fisheries Agreements: A Game Theoretical Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 689-709, December.
    5. Doyen, Luc & Péreau, Jean-Christophe, 2012. "Sustainable coalitions in the commons," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 57-64.
    6. Rettieva, A.N., 2012. "Stable coalition structure in bioresource management problem," Ecological Modelling, Elsevier, vol. 235, pages 102-118.
    7. Blasiak, Robert & Yagi, Nobuyuki & Kurokura, Hisashi, 2015. "Impacts of hegemony and shifts in dominance on marine capture fisheries," Marine Policy, Elsevier, vol. 52(C), pages 52-58.
    8. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, July.
    9. Kulmala, Soile & Levontin, Polina & Lindroos, Marko & Pintassilgo, Pedro, 2010. "Atlantic Salmon Fishery in the Baltic Sea – A Case of Trivial Cooperation," 2010 Conference (54th), February 10-12, 2010, Adelaide, Australia 59094, Australian Agricultural and Resource Economics Society.
    10. Bediako, Kwabena & Nkuiya, Bruno, 2022. "Stability of international fisheries agreements under stock growth uncertainty," Journal of Environmental Economics and Management, Elsevier, vol. 113(C).
    11. Basak Bayramoglu & Brian Copeland & Jean-François Jacques, 2018. "Trade and fisheries subsidies [Le commerce international et les subventions à la pêche]," Post-Print hal-02624649, HAL.
    12. Emmi Nieminen & Lone Grønbæk Kronbak & Marko Lindroos, 2016. "International Agreements in the Multispecies Baltic Sea Fisheries," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 109-134, September.
    13. Basso, Franco & Basso, Leonardo J. & Rönnqvist, Mikael & Weintraub, Andres, 2021. "Coalition formation in collaborative production and transportation with competing firms," European Journal of Operational Research, Elsevier, vol. 289(2), pages 569-581.
    14. Soile Oinonen & Lone Grønbæk & Marita Laukkanen & Polina Levontin & Marko Lindroos & Emmi Nieminen & Katja Parkkila & Pedro Pintassilgo & Henni Pulkkinen & Atso Romakkaniemi, 2016. "International Fisheries Management and Recreational Benefits: The Case of Baltic Salmon," Marine Resource Economics, University of Chicago Press, vol. 31(4), pages 433-451.
    15. Pintassilgo, Pedro & Laukkanen, Marita & Kronbak, Lone Grønbæk & Lindroos, Marko, 2015. "International Fisheries Agreements and Non-consumptive Values," Discussion Papers on Economics 8/2015, University of Southern Denmark, Department of Economics.
    16. Ansink, Erik & Bouma, Jetske, 2013. "Effective support for community resource management," Forest Policy and Economics, Elsevier, vol. 37(C), pages 94-103.
    17. Michael Finus & Raoul Schneider & Pedro Pintassilgo, 2019. "The Role of Social and Technical Excludability for the Success of Impure Public Good and Common Pool Agreements: The Case of International Fisheries," Graz Economics Papers 2019-12, University of Graz, Department of Economics.
    18. Erik Ansink & Hans-Peter Weikard, 2018. "Common pool resources: Is there support for conservationists?," Tinbergen Institute Discussion Papers 18-083/VIII, Tinbergen Institute.
    19. Finus, Michael & Schneider, Raoul & Pintassilgo, Pedro, 2020. "The role of social and technical excludability for the success of impure public good and common pool agreements," Resource and Energy Economics, Elsevier, vol. 59(C).

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    More about this item

    Keywords

    Coalition; partition function; externalities; bioeconomic model; straddling fish stock; C72; Q22;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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