Scientific publications

Ф. Сунь, Е.М. Парилина, Х. Гао.

Индивидуальная устойчивость коалиционных структур в играх трех лиц

// Математическая Теория Игр и ее Приложения, т. 11, в. 1. 2019. C. 73-95

Fengyan Sun, Elena M. Parilina, Hongwei Gao. Individual stability of coalition structures in three-person games // Mathematical Game Theory and Applications. Vol 11, No 1. 2019. Pp. 73-95

Keywords: coalition structure, stability, the Shapley value, the ES-value

Cooperative games with coalition structures are considered and a principle of coalition structure individual stability with respect to some cooperative solution concepts is determined. In comparison with the paper (Sedakov et al., 2013), we consider the opportunity of the players to block the deviation of a player in case their payoffs decrease with the deviation. We prove the existence of an individually stable coalition structure with respect to the Shapley and equal surplus division values for the case of three-person games according to the new definition of a stable coalition structure.

Indexed at RSCI, RSCI (WS)

vol_11_1_73-95_SunParilinaGao.pdf (808 Kb, total downloads: 178)

Last modified: April 19, 2019