We show that the core of each strongly size monotonic hedonic game is not empty and is externally stable. This is in … sharp contrast to other sufficient conditions for core non-emptiness which do not even guarantee the existence of a stable … set in such games. -- Core ; Hedonic Games ; Monotonicity ; Stable Sets …

would like to learn from. In this setup, we examine how the existence of core stable partitions on the distinct market sides … respect common rankings shape the existence of core stable coalitional matchings. …

either core stability or strict core stability is under consideration, the existence problem of a stable coalition structure …