stable solutions of a multiple partners matching game in two different ways and perform a study on the core of the … the existence of a stable solution and the non-emptiness of the core, which holds in the other models with payments, is no …

-firm-buyer games have non-empty core. We show that for these games the core coincides with the classical bargaining set (Davis and …

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 …

of ones. We then define the balanced-core as a refinement ofthe core. A payoff vector lies in the balanced-core if it … lies in the core andthe payoff vector is an element of payoff sets of all graphs in some balanced collection ofgraphs. We … prove that any balanced graph game has a nonempty balanced-core.We conclude by some examples showing the usefulness of the …