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.

Original languageEnglish
Title of host publicationCONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI
EditorsLA Petrosyan, NA Zenkevich
PublisherИздательство Санкт-Петербургского университета
Pages224-248
Number of pages25
ISBN (Print)*****************
Publication statusPublished - 2018
Event11th International Conference on Game Theory and Management, GTM2017 - St Petersburg
Duration: 28 Jun 201730 Jun 2017

Publication series

NameContributions to Game Theory and Management
PublisherST PETERSBURG UNIV GRAD SCH MANAGEMENT
Volume11
ISSN (Print)2310-2608

Conference

Conference11th International Conference on Game Theory and Management, GTM2017
CitySt Petersburg
Period28/06/1730/06/17

Cite this

Sun, F., & Parilina, E. (2018). Existence of Stable Coalition Structures in Four-person Games. In LA. Petrosyan, & NA. Zenkevich (Eds.), CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI (pp. 224-248). (Contributions to Game Theory and Management; Vol. 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. editor / LA Petrosyan ; NA Zenkevich. Издательство Санкт-Петербургского университета, 2018. pp. 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",
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language = "Английский",
isbn = "*****************",
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publisher = "Издательство Санкт-Петербургского университета",
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editor = "LA Petrosyan and NA Zenkevich",
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Sun, F & Parilina, E 2018, Existence of Stable Coalition Structures in Four-person Games. in LA Petrosyan & NA Zenkevich (eds), CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI. Contributions to Game Theory and Management, vol. 11, Издательство Санкт-Петербургского университета, pp. 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. ed. / LA Petrosyan; NA Zenkevich. Издательство Санкт-Петербургского университета, 2018. p. 224-248 (Contributions to Game Theory and Management; Vol. 11).

Research output

TY - GEN

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

AU - Sun, Fengyan

AU - Parilina, Elena

PY - 2018

Y1 - 2018

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

SP - 224

EP - 248

BT - CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI

A2 - Petrosyan, LA

A2 - Zenkevich, NA

PB - Издательство Санкт-Петербургского университета

ER -

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