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A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities

Author

Listed:
  • Eyckmans, Johan

    (Hogeschool-Universiteit Brussel (HUB), Belgium)

  • Finus, Michael

    (University of Exeter Business School,UK)

  • Mallozzi, Lina

    (University of Naples Federico II, Italy)

Abstract
We propose a class of sharing rules for the distribution of the gains from cooperation for partition function games with externalities. We show that this class of sharing rules is characterized by three axioms: coalitional efficiency, additivity and anonimity which are adapted to the context of partition function games. The sharing rules stabilize, in the sense of d'Aspremont et al. (1983), the coalition which generates the highest global welfare among the set of potentially internally stable coalitions. The new class of sharing rules is particularly powerful for economic problems that are characterized by positive externalities from coalition formation (outsiders benefit from the expansion of the coalition) and which therefore often suffer from free-riding.

Suggested Citation

  • Eyckmans, Johan & Finus, Michael & Mallozzi, Lina, 2011. "A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities," Working Papers 2011/08, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    • Handle: RePEc:hub:wpecon:201108
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    References listed on IDEAS

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    Cited by:

    1. Alejandro Caparrós & Michael Finus, 2020. "Public good agreements under the weakest‐link technology," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 555-582, June.
    2. Lessmann, Kai & Kornek, Ulrike & Dellink, Rob & Emmerling, Johannes & Eyckmans, Johan & Nagashima, Miyuki & Weikard, Hans-Peter & Yang, Zili, 2014. "The Stability and Effectiveness of Climate Coalitions: A Comparative Analysis of Multiple Integrated Assessment Models," Climate Change and Sustainable Development 163598, Fondazione Eni Enrico Mattei (FEEM).
    3. Alejandro Caparrós & Michael Finus, 2020. "The Corona-Pandemic: A Game-Theoretic Perspective on Regional and Global Governance," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 76(4), pages 913-927, August.
    4. Brian Chi-ang Lin & Siqi Zheng & Marco Rogna, 2016. "Cooperative Game Theory Applied To Ieas: A Comparison Of Solution Concepts," Journal of Economic Surveys, Wiley Blackwell, vol. 30(3), pages 649-678, July.
    5. Michael Finus & Matthew McGinty, 2015. "The Anti-Paradox of Cooperation: Diversity Pays!," Department of Economics Working Papers 40/15, University of Bath, Department of Economics.
    6. Tulkens, Henry, 2014. "Internal vs. core coalitional stability in the environmental externality game: A reconciliation," LIDAM Discussion Papers CORE 2014058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Achim Hagen & Pierre von Mouche & Hans-Peter Weikard, 2020. "The Two-Stage Game Approach to Coalition Formation: Where We Stand and Ways to Go," Games, MDPI, vol. 11(1), pages 1-31, January.

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    More about this item

    Keywords

    partition function; coalition formation; externalities; surplus;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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