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Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness

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  • Takaaki Abe

    (Waseda University)

Abstract

The objective of this paper is to study stable coalition structures in symmetric majority games. We assume that players deviate from a coalition structure to another to maximize their power given by the Owen power index. We introduce three myopic core concepts and one farsighted stability concept, the farsighted vNM stable set. Our main result is that the pessimistic core, the largest myopic core, coincides with some farsighted vNM stable set for any number of players. Moreover, we show that a coalition structure belongs to the pessimistic core and the farsighted vNM stable set if and only if it contains an exact majority coalition.

Suggested Citation

  • Takaaki Abe, 2018. "Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness," Theory and Decision, Springer, vol. 85(3), pages 353-374, October.
    • Handle: RePEc:kap:theord:v:85:y:2018:i:3:d:10.1007_s11238-018-9655-y
    DOI: 10.1007/s11238-018-9655-y
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    Cited by:

    1. Abe, Takaaki, 2020. "Axiomatizations of coalition aggregation functions," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 69-75.
    2. Takaaki Abe, 2020. "Stable Coalition Structures and Power Indices for Majority Voting," Working Papers 2015, Waseda University, Faculty of Political Science and Economics.
    3. Takaaki Abe, 2020. "Population monotonic allocation schemes for games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 97-117, March.
    4. Takaaki Abe & Yukihiko Funaki, 2021. "The projective core of symmetric games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 167-183, March.
    5. Takaaki Abe, 2022. "Stable coalition structures and power indices for majority voting," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1413-1432, December.
    6. Takaaki Abe, 2019. "Axiomatizations of Coalition Aggregation Functions," Working Papers 1904, Waseda University, Faculty of Political Science and Economics.
    7. Takaaki Abe, 2019. "Stable Coalition Structures: Characterizations and Applications of Hart and Kurz's Four Stability Concepts," Working Papers 1812, Waseda University, Faculty of Political Science and Economics.

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