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

Y2 - 28 June 2017 through 30 June 2017

ER -