core. In this paper we generalize this result by distinguishing equivalence classes of balanced games that share the same … core structure. We then associate a system of linear inequalities with each equivalence class, and we show that the system … of TU games on which the core correspondence is additive (even linear). For the case of convex games we prove that the …

: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

core. In this paper we generalize this result by distinguishing equivalence classes of balanced games that share the same … core structure. We then associate a system of linear inequalities with each equivalence class, and we show that the system … of TU games on which the core correspondence is additive (even linear). For the case of convex games we prove that the …

: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

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

-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 …

the unique welfare distribution that is core-stable and satisfies the condition that no agent gets a utility payoff above … has an increasing benefit function (no externalities) then every weighted hierarchical solution is core-stable. In case of …

allowing all its members to get the service that generates the revenues. We focus on the study of the core of cost … consideration to all its members, it is shown that a cost-revenue game has a non-empty core for any vector of revenues if, and only … if, the dual game of the cost game has a large core. Using this result, we investigate minimum cost spanning tree games …

on the one hand and the core property of an allocation on the other. In particular we show that it is an inhomogeneous … sacrifice') which is derived from the egalitarian-equivalent concept suggested by Moulin (1987). We also develop a simple core … test by which it can be checked whether a given allocation is in the core thus being a possible outcome of a cooperative …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced …