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Coalition Formation with Externalities: The Case of the Northeast Atlantic Mackerel Fishery in a Pre- and Post-Brexit Context

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  • Evangelos Toumasatos

    (SNF — Centre for Applied Research, Norwegian School of Economics, N-5045 Bergen, Norway2Department of Business and Management Science, Norwegian School of Economics, N-5045 Bergen, Norway)

  • Stein Ivar Steinshamn

    (Department of Business and Management Science, Norwegian School of Economics, N-5045 Bergen, Norway)

Abstract

The partition function approach is applied to study coalition formation in the Northeast Atlantic mackerel fishery in the presence of externalities. Atlantic mackerel is mainly exploited by the European Union (EU), the United Kingdom (UK), Norway, the Faroe Islands and Iceland. Two games are considered. First, a four-player game where the UK is still a member of the EU. Second, a five-player game where the UK is no longer a member of the union. Each game is modeled in two stages. In the first stage, players form coalitions following a predefined set of rules. In the second stage, given the coalition structure that has been formed, each coalition chooses the economic strategy that maximizes its own net present value of the fishery, given the behavior of the other coalitions. The game is solved using backward induction to obtain the set of Nash equilibria coalition structures in pure strategies, if any. We find that the current management regime is among the stable coalition structures in all eight scenarios of the four-player game but in only one case of the five-player game. In addition, stability in the five-player game is sensitive to the growth function applied and the magnitude of the stock elasticity parameter.

Suggested Citation

  • Evangelos Toumasatos & Stein Ivar Steinshamn, 2018. "Coalition Formation with Externalities: The Case of the Northeast Atlantic Mackerel Fishery in a Pre- and Post-Brexit Context," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-48, June.
    • Handle: RePEc:wsi:igtrxx:v:20:y:2018:i:02:n:s0219198918500019
    DOI: 10.1142/S0219198918500019
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    1. Nils-Arne Ekerhovd & Stein Ivar Steinshamn, 2016. "Economic Benefits of Multi-Species Management: The Pelagic Fisheries in the Northeast Atlantic," Marine Resource Economics, University of Chicago Press, vol. 31(2), pages 193-210.
    2. Johan Eyckmans & Michael Finus, 2004. "An Almost Ideal Sharing Scheme for Coalition Games with Externalities," Energy, Transport and Environment Working Papers Series ete0414, KU Leuven, Department of Economics - Research Group Energy, Transport and Environment.
    3. repec:hal:pseose:hal-00813181 is not listed on IDEAS
    4. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    5. Linda Nøstbakken, 2006. "Cost structure and capacity in the Norwegian pelagic fisheries," Applied Economics, Taylor & Francis Journals, vol. 38(16), pages 1877-1887.
    6. Martimort, David & Stole, Lars, 2012. "Representing equilibrium aggregates in aggregate games with applications to common agency," Games and Economic Behavior, Elsevier, vol. 76(2), pages 753-772.
    7. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    8. Rögnvaldur Hannesson, 2011. "Game Theory and Fisheries," Annual Review of Resource Economics, Annual Reviews, vol. 3(1), pages 181-202, October.
    9. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    10. Robert W. Mckelvey & Leif K. Sandal & Stein I. Steinshamn, 2002. "Fish Wars On The High Seas: A Straddling Stock Competition Model," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 53-69.
    11. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    12. Smith, Vernon L, 1969. "On Models of Commercial Fishing," Journal of Political Economy, University of Chicago Press, vol. 77(2), pages 181-198, March/Apr.
    13. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    14. Richard J. Agnello & Lawrence P. Donnelley, 1976. "Externalities and Property Rights in the Fisheries," Land Economics, University of Wisconsin Press, vol. 52(4), pages 518-529.
    15. Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
    16. 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.
    17. R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
    18. 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.
    19. Clark, Colin W. & Munro, Gordon R., 1975. "The economics of fishing and modern capital theory: A simplified approach," Journal of Environmental Economics and Management, Elsevier, vol. 2(2), pages 92-106, December.
    20. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
    21. Pedro Pintassilgo & Michael Finus & Marko Lindroos & Gordon Munro, 2010. "Stability and Success of Regional Fisheries Management Organizations," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 46(3), pages 377-402, July.
    22. Ellefsen, Hans, 2013. "The Stability of Fishing Agreements with Entry: The Northeast Atlantic Mackerel," Strategic Behavior and the Environment, now publishers, vol. 3(1–2), pages 67-95, January.
    23. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    24. David L. Jaquette, 1974. "A Discrete-Time Population-Control Model with Setup Cost," Operations Research, INFORMS, vol. 22(2), pages 298-303, April.
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    3. Andrew J. Collins & Sheida Etemadidavan & Wael Khallouli, 2020. "Generating Empirical Core Size Distributions of Hedonic Games using a Monte Carlo Method," Papers 2007.12127, arXiv.org.

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