[For the entire collection see Zbl 0699.00038.]
Multi-commodity flow situations and linear production situations lead to multi-commodity games. They model economic situations in which a group of agents can obtain certain bundles of goods by cooperation. Situations like these were already studied by Derks and Tijs and also Kalai and Zemel in the context of multi-commodity flows and by Owen and Grandt for linear production. Here the authors introduce a general model that can be applied to both situations. The notion of stable situations, dominance- core and balancedness are introduced and studied. They prove that each balanced multi-commodity game has at least one stable outcome. Its proof provides a constructive way to find stable outcomes using elements.