, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced …

We investigate the relationship between certain subsets of the core for TU market games and competitive payoff vectors … and Shubik (1975). They remark already that their result can be extended to any closed convex subset of the core, but they …

We consider the inner core as a solution concept for cooperative games with non- transferable utility (NTU) and its … subsets of the inner core for NTU market games and competitive payoff vectors of markets linked to the NTU market game. This … large class of closed subsets of the inner core: Given an NTU market game we construct a market depending on a given closed …

We investigate the relationship between the inner core and asymmetric Nash bargaining solutions for n-person bargaining … positive vectors of weights coincides with the inner core if all points in the underlying bargaining set are strictly positive …

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 …

the clan by a 'dualize and extend' procedure. These procedures are also useful for relating core elements and elements of …

core coincides with the set of cost-minimized Walras allocations. Because of the indivisibility, the preference …

. We prove that the strong core coincides with the set of cost-minimized Walras allocations which satisfy both the …

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 …

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of … a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the … core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence …