Geodesic
Existence of stable coalition structures in four-person games
Contributions to game theory and management, Tome 11 (2018), pp. 224-248

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Cooperative games with coalition structures are considered and the principle of coalition structure stability with respect to some cooperative solution concepts is determined. This principle is close to the concept of Nash equilibrium. The existence of a stable coalition structure with respect to the Shapley value and the equal surplus division value for the cases of two- and three-person games is proved. In this paper, the problem of existence of a stable coalition structure with respect to the Shapley value and the equal surplus division value for the case of four-person games with special characteristic function is examined.
Keywords: coalition structure, stability, the Shapley value, the ES-value, four-player cooperative games. 
@article{CGTM_2018_11_a12,
     author = {Fengyan Sun and Elena Parilina},
     title = {Existence of stable coalition structures in four-person games},
     journal = {Contributions to game theory and management},
     pages = {224--248},
     publisher = {mathdoc},
     volume = {11},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2018_11_a12/}
}
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Fengyan Sun; Elena Parilina. Existence of stable coalition structures in four-person games. Contributions to game theory and management, Tome 11 (2018), pp. 224-248. http://geodesic.mathdoc.fr/item/CGTM_2018_11_a12/