TY - JOUR
T1 - Stable coalition structures in symmetric majority games
T2 - a coincidence between myopia and farsightedness
AU - Abe, Takaaki
N1 - Funding Information:
The author is grateful to the anonymous referees and an editor for their helpful suggestions and comments. The author also thanks Yukihiko Funaki, Ryo Kawasaki, Fuhito Kojima, and Shigeo Muto for their advices. The author acknowledges financial support from the Japan Society for Promotion of Science (JSPS).
Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - 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.
AB - 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.
KW - Coalition structure
KW - Farsightedness
KW - Myopia
KW - Symmetric majority game
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U2 - 10.1007/s11238-018-9655-y
DO - 10.1007/s11238-018-9655-y
M3 - Article
AN - SCOPUS:85041203871
SN - 0040-5833
VL - 85
SP - 353
EP - 374
JO - Theory and Decision
JF - Theory and Decision
IS - 3-4
ER -