Existence of Stable Coalition Structures in Four-person Games

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Выдержка

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.

Язык оригиналаАнглийский
Название основной публикацииCONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI
РедакторыLA Petrosyan, NA Zenkevich
ИздательИздательство Санкт-Петербургского университета
Страницы224-248
Число страниц25
ISBN (печатное издание)*****************
СостояниеОпубликовано - 2018
Событие11th International Conference on Game Theory and Management, GTM2017 - St Petersburg
Продолжительность: 28 июн 201730 июн 2017

Серия публикаций

НазваниеContributions to Game Theory and Management
ИздательST PETERSBURG UNIV GRAD SCH MANAGEMENT
Том11
ISSN (печатное издание)2310-2608

Конференция

Конференция11th International Conference on Game Theory and Management, GTM2017
ГородSt Petersburg
Период28/06/1730/06/17

Цитировать

Sun, F., & Parilina, E. (2018). Existence of Stable Coalition Structures in Four-person Games. В LA. Petrosyan, & NA. Zenkevich (Ред.), CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI (стр. 224-248). (Contributions to Game Theory and Management; Том 11). Издательство Санкт-Петербургского университета.
Sun, Fengyan ; Parilina, Elena. / Existence of Stable Coalition Structures in Four-person Games. CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. редактор / LA Petrosyan ; NA Zenkevich. Издательство Санкт-Петербургского университета, 2018. стр. 224-248 (Contributions to Game Theory and Management).
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title = "Existence of Stable Coalition Structures in Four-person Games",
abstract = "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",
author = "Fengyan Sun and Elena Parilina",
year = "2018",
language = "Английский",
isbn = "*****************",
series = "Contributions to Game Theory and Management",
publisher = "Издательство Санкт-Петербургского университета",
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Sun, F & Parilina, E 2018, Existence of Stable Coalition Structures in Four-person Games. в LA Petrosyan & NA Zenkevich (ред.), CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. Contributions to Game Theory and Management, том. 11, Издательство Санкт-Петербургского университета, стр. 224-248, St Petersburg, 28/06/17.

Existence of Stable Coalition Structures in Four-person Games. / Sun, Fengyan; Parilina, Elena.

CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. ред. / LA Petrosyan; NA Zenkevich. Издательство Санкт-Петербургского университета, 2018. стр. 224-248 (Contributions to Game Theory and Management; Том 11).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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T1 - Existence of Stable Coalition Structures in Four-person Games

AU - Sun, Fengyan

AU - Parilina, Elena

PY - 2018

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N2 - 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.

AB - 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.

KW - coalition structure

KW - stability

KW - the Shapley value

KW - the ES-value

KW - four-player cooperative games

M3 - статья в сборнике материалов конференции

SN - *****************

T3 - Contributions to Game Theory and Management

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BT - CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI

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Sun F, Parilina E. Existence of Stable Coalition Structures in Four-person Games. В Petrosyan LA, Zenkevich NA, редакторы, CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. Издательство Санкт-Петербургского университета. 2018. стр. 224-248. (Contributions to Game Theory and Management).