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dc.contributor.authorSun, Fengyan-
dc.contributor.authorParilina, Elena-
dc.date.accessioned2018-07-24T11:31:06Z-
dc.date.available2018-07-24T11:31:06Z-
dc.date.issued2018-
dc.identifier.urihttp://hdl.handle.net/11701/10483-
dc.descriptionIn Contributions to game theory and management, vol. XI. Collected papers presented on the Eleventh International Conference Game Theory and Management / Editors Leon A. Petrosyan, Nikolay A. Zenkevich. - SPb.: Saint Petersburg State University, 2018. - 330 p. The collection contains papers accepted for the Eleventh International Game Theory and Management (June 28-30, 2017, St. Petersburg State University, St. Petersburg, Russia).en_GB
dc.description.abstractCooperative games with coalition structures are considered and the principle of coalition structure stability with respect to some cooperative csolution concepts is determined. This principle is close to the conept 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 charateristic function is examined.en_GB
dc.description.sponsorshipThe work of the second author was supported by the Shandong Province -Double-Hundred Talent Plan (No. WST2017009).en_GB
dc.language.isoenen_GB
dc.publisherSaint Petersburg State Universityen_GB
dc.subjectcoalition structureen_GB
dc.subjectstabilityen_GB
dc.subjectthe Shapley valueen_GB
dc.subjectthe ES-valueen_GB
dc.subjectfour-player cooperative gamesen_GB
dc.titleExistence of Stable Coalition Structures in Four-person Gamesen_GB
dc.typeOtheren_GB
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