In this paper it is shown that the core and the bargaining sets of Davis-Maschler and Zhou coincide in a class of …

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 …