The capacity of side-payments to induce an efficient outcome, as predi
cted by the ''Coase Theorem,'' is studied. Side-payments are formally
introduced in a bimatrix game involving externalities, and the resulti
ng equilibrium is called an induced equilibrium. When induced equilibr
ia exist they weakly Pareto-dominate a Nash equilibrium of the origina
l game without side-payments. When, because of externalities, one mark
et is missing, an induced equilibrium always exists, is uniquely value
d, and is Pareto-efficient. When more than one market is missing, indu
ced equilibria may not exist, may be Pareto-inefficient, and may be Pa
reto ranked.