the core of an ET-game. -- Cooperative game theory ; extended tree game ; 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 …

coalitions determine both the core and the nucleolus in monotonic games whenever the core is non-empty. We show how these two …

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 …

. The core predicts a unique and extreme outcome: the entire surplus is split evenly among the buyers when m > n and among … the sellers when m < n; the long side gets nothing. We test this core conjecture in the lab with n + m = 3 or 5 randomly … agreements while trading. Despite frequent attempts to collude and occasional large deviations from the core prediction, we find …

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 …

the clan by a "dualize and extend" procedure. These procedures are also useful for relating core elements and elements of … the Weber set of the corresponding games. -- Convex games ; Core , Dual games ; Marginal games ; Total clan games ; Weber …

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 … players' preferences are additive. -- Additivity ; Coalition formation ; Core ; Co-NP completeness ; Hedonic games …

) 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 …