The study of 1-convex/1-concave TU games possessing a nonempty core and for which the nucleolus is linear was initiated by Driessen and Tijs (Methods Oper. Res. 46:395–406, <CitationRef CitationID="CR2">1983</CitationRef>) and Driessen (OR Spectrum 7:19–26, <CitationRef CitationID="CR1">1985</CitationRef>). However, until recently appealing abstract and practical examples of...</citationref></citationref>

In coalitional games in which the players are partitioned into groups, we study the incentives of the members of a group to leave it and become singletons. In this context, we model a non-cooperative mechanism in which each player has to decide whether to stay in her group or to exit and act as...