We study a special three-sided matching game, the so-called supplier-firm-buyer game, in which buyers (customers) and sellers (suppliers) trade indirectly through middlemen (firms). Stuart (Stuart, 1997) showed that all supplier-firm-buyer games have non-empty core. We show that for these games...

A generalization of transferable utility cooperative games from the functional forms introduced by von Neumann and Morgenstern (1944, Theory of Games and Economic Behavior) and Lucas and Thrall (1963, Naval Research Logistics Quarterly, 10, 281-298) is proposed to allow for multiple membership....