We prove a theorem on the intersection of the Weber sets (Weber, 1988) of two ordered cooperative games. From this theorem several consequences are derived, the inclusion of the core in the Weber set (Weber, 1988), the fact that every convex game has a large core (Sharkey, 1982), and a discrete...

We introduce the aggregate-monotonic core as the set of allocations of a transferable utility cooperative game attainable by single-valued solutions that satisfy core-selection and aggregate-monotonicity. We provide a necessary and sufficient condition for the coincidence of the core and the...

The Böhm-Bawerk horse markets are assignment markets with homogeneous goods that are known to have a one-dimensional core. We show here that, although there exist two-sided assignment games with non-homogeneous products and with a segment as a core, the Böhm-Bawerk horse markets are the only...

We extend Rochfords (1983) notion of symmetrically pairwise-bargained equilibrium to assignment games with more than two sides. A symmetrically multilateral-bargained (SMB) allocation is a core allocation such that any agent is in equilibrium with respect to a negotiation process among all...