Аннотация:
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.
Ключевые слова:coalition structure, stability, the Shapley value,
the ES-value, four-player cooperative games.