coalition forms without delay in equilibrium, expected payoffs must be in the core of the characteristic function game that …

We study linearly weighted versions of the least core and the (pre)nucleolus and investigatethe reduction possibilities … dual game. Our main results imply, for example, that if the core of the game is not empty, all dually inessential … core and the per-capita (pre)nucleolus from the dual game. This could lead to the design of polynomial time algorithms for …

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 …

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 …