coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

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 …

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 …

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of … core of the combined game coincides with the sum of the cores of its components. On the other hand, for non-balanced games …, the binary relation associating two component games whose combination has an empty core is not transitive. However, we …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced …-jobbing. -- Coalition production economy ; transferable utility game ; core ; Walrasian equilibrium ; Walrasian equilibrium without double …

commitment possibilities and propose the Weak Sequential Core as a solution concept. We characterize the Weak Sequential Core and … 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 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 … theorems of Shapley and Shubik (1975) are included as special cases. -- Market Games ; Competitive Payoffs ; Core …