. The minimal (for inclusion) dominant set is non-empty and for a game with a non-empty coalition structure core, the … minimal dominant set returns this core. …

This paper reinterprets the γ-core (Chander and Tulkens (1995, 1997)) and justifies it as well as its prediction that … the efficient coalition structure is stable in terms of the coalition formation theory. It is assumed that coalitions can … by a coalition, the nonmembers will have incentives to break apart into singletons, as is assumed in the definition of …

We generalise the coalition structure core to partition function games. Our definition relies only on one crucial … initial one, and – whenever this is possible – they come to a residual core outcome. Deviating players form their optimistic … or pessimistic expectations with this in mind. This leads to a recursive definition of the core. When compared to …