This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of … core of the combined game coincides with the sum of the cores of its components. On the other hand, for non-balanced games …, the binary relation associating two component games whose combination has an empty core is not transitive. However, we …

characterize the core as a function of the utility's parameter values and show that in all cases the corresponding cores are non …-empty. We further discuss the core stable outcomes in terms of their segregating versus integrating properties. -- Coalitions … ; Core ; Stability ; Status-seeking …