models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We …. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies …

models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We …. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies … induced hedonic game satisfies the top coalition property. -- Coalition formation ; Core ; Paradox of smaller coalitions …

core of the game is nonempty. …

core of the game is nonempty. …

players' preferences over coalitions in a hedonic game. We formalize the notion of semistrict core stability, which is … stronger than the standard core concept but weaker than the strict core notion and derive two characterization results for the … semistrict core, dependent on conditions we impose on the solution concept. It turns out that a bounded power condition, which …

) are sufficient conditions for core stability in hedonic games. We introduce the semistrict core as a stronger stability … concept than the core, and show that the top coalition property guarantees the existence of semistrictly core stable coalition … structures. Moreover, for each game satisfying the common ranking property, the core and the semistrict core coincide. …

) are sufficient conditions for core stability in hedonic games. We introduce the semistrict core as a stronger stability … concept than the core, and show that the top coalition property guarantees the existence of semistrictly core stable coalition … structures. Moreover, for each game satisfying the common ranking property, the core and the semistrict core coincide. …

models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We …. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies …