game is associated and the proportional distribution arises as a natural core allocation. We describe a necessary and … sufficient condition for which the core of the game shrinks to the proportional distribution. Furthermore, we characterize … axiomatically the proportional distribution by means of three properties: core-selection, core-invariance and resource monotonicity …

coincide and give the midpoint between the buyers-optimal core allocation and the sellers-optimal core allocation, and thus … they belong to the core. Moreover, under the assumption that all agents in the market are active, the subset of core … set of stable allocations where each agent is paid at least half of his maximum core payoff. All allocations in this last …

This article considers single-valued solutions of transferable utility cooperative games that satisfy core selection … arbitrary set of players, core selection and aggregate monotonicity are compatible with individual rationality, the dummy player …

We study under which conditions the core of a game involved in a max-convex decomposition of another game turns out to … player game with a unique stable set different from the core, are reckoning and analyzed. Copyright Sociedad de Estadística e …

considering the union of the core of the game and the core of the subgames that are compatible with this matching. We prove in the … assignment game, have a lattice structure with respect to the same partial order usually defined on the core. …

the same core. We state conditions on matrix entries that ensure that the related assignment games have the same core. We … prove that the set of matrices leading to the same core form a join-semilattice with a finite number of minimal elements and …