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 …

are currently employed/unemployed. We show that such a process is absorbed into the core with probability one in finite … time. Moreover, within the core, allocations are selected that are characterized by surplus splitting according to a …