, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced … restricted concept of a Walrasian equilibrium enables us to discuss which coalitions are formed in an equilibrium. If the …

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 …

. Do pure indivisibilities prevent core equivalence? Core equivalence theorem in an atomless economy with purely … agents, the core coincides with the set of Walras allocations. We show that this equivalence holds only in an atomless … economy by giving two examples of the sequence of replica economies such that in any replica economy, there exists a core …

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 …

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 …

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 …

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 …