n-Person cooperative games with transferable utility: II. Side-payment distribution and equilibrium coalition trees for indissoluble coalitions

The authors suggest a general rule for the distribution of side-payments. With specific values the rule can be used to calculate the imputation for any given coalition structure (tree). An equilibrium structure is defined as that structure in which no coalition can benefit by a move which does not disturb the structure of the other players. It is shown that, for a linear rule, there is always an equilibrium tree and methods of finding such trees are discussed.