economy. The set of Walrasian payoff vectors for our induced coalition production economy coincides with the inner core of the …

In this paper, we study different notions of stability for three-sided assignment games. Since the core may be empty in …-Morgenstern stable sets. The dominant diagonal property is necessary for the core to be a stable set, and also sufficient in the case … of the extended cores of all μ-compatible subgames, for a given optimal matching μ, is the core with respect to those …

-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value … all subsets of the player set N to form, it is assumed that the set of feasible coalitions is a subset of the power set of … N. In this paper we consider such sets of feasible coalitions that are closed under union, i.e. for any two feasible …

uncertainty regarding the payoffs of coalitions. One out of a finite number of states of nature materializes and conditional on … commitment possibilities and propose the Weak Sequential Core as a solution concept. We characterize the Weak Sequential Core and …

nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the Restricted Core for such … players. For totally positive games this solution is always contained in the Core, and contains the well-known Shapley value … (being the single-valued solution distributing the dividends equally among the players in the corresponding coalitions). For …

models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We … induced hedonic game satisfies the top coalition property. -- Coalition formation ; Core ; Paradox of smaller coalitions …. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies …

to the interval core of that game and Lorenz dominates each other interval core element. Consistency properties of the …