study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods …

groups, such as marriages, or clubs, or productive coalitions. It may be that participants in an economy even derive utility …: (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 … 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 …

-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). For special orderings it equals the Core, respectively Shapley value. We provide an axiomatization and apply this … 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 …

axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are …