has an increasing benefit function (no externalities) then every weighted hierarchical solution is core-stable. In case of … the unique welfare distribution that is core-stable and satisfies the condition that no agent gets a utility payoff above … satiable agents, i.e., the benefit function is decreasing beyond some satiation point. In such situations externalities appear …

-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 …

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such … nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such … of the players. For totally positive games this solution is always contained in the 'Core', and contains the well …

, these results state already that the set of Harsanyi payoff vectors is given by the core of an associated convex game, a …

In this paper we provide three new characterizations of largeness of the core. The first characterization of largeness … of the core is based on minimal covers of the grand coalition and associated inequalities. The second characterization … shows the relation between the bases that provide core elements of the game and the bases that provide core elements of the …

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