all men acceptable, Sasaki and Toda (1992) characterize the core by anonymity, Pareto optimality, consistency, and … by characterizing the core on the domain of no odd rings roommate markets by individual rationality, anonymity, Pareto …

We develop a theory of stability in many-to-many matching markets. We give conditions under which the setwise …-stable set, a core-like concept, is nonempty and can be approached through an algorithm. The usual core may be empty. The setwise … parallels the standard theory of stability for many-to-one, and one-to-one, models. We provide results for a number of core …

Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly … dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this … von Neumann-Morgenstern farsightedly stable if and only if the matching is stable (Theorem 1). We also present roommate …

We study a special three-sided matching game, the so-called supplier-firm-buyer game, in which buyers (customers) and …-firm-buyer games have non-empty core. We show that for these games the core coincides with the classical bargaining set (Davis and …