the average rankings of the other types of groups. We show that a core stable coalition structure always exists, provided …We consider three-sided coalition formation problems when each agent is concerned about his local status as measured by …

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 …

the clan by a "dualize and extend" procedure. These procedures are also useful for relating core elements and elements of … the Weber set of the corresponding games. -- Convex games ; Core , Dual games ; Marginal games ; Total clan games ; Weber …

coalitions" that was previously used to derive core existence results. -- Coalition formation ; Semistrict core ; Simple games …We consider the class of proper monotonic simple games and study coalition formation when an exogenous weight vector … players' preferences over coalitions in a hedonic game. We formalize the notion of semistrict core stability, which is …

We are concerned with the problem of core membership testing for hedonic coalition formation games, which is to decide … whether a certain coalition structure belongs to the core of a given game. We show that this problem is co-NP complete when … players' preferences are additive. -- Additivity ; Coalition formation ; Core ; Co-NP completeness ; Hedonic games …

concept than the core, and show that the top coalition property guarantees the existence of semistrictly core stable coalition …. -- Coalition formation ; Common ranking property ; Hedonic games ; Semistrict core ; Top coalition property …The top coalition property of Banerjee et al. (2001) and the common ranking property of Farrell and Scotchmer (1988 …

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 …