This article considers single-valued solutions of transferable utility cooperative games that satisfy core selection and aggregate monotonicity, defined either on the set of all games, G <Superscript> N </Superscript>, or on the set of essential games, E <Superscript> N </Superscript> (those with a non-empty imputation set). The main result is that...</superscript></superscript>

We prove that for any coalitional game the core coincides with the bargaining set à la Davis and Maschler when we sufficiently raise the worth of the grand coalition (the efficiency level). This coincidence result does not hold for other well-known bargaining sets like the Mas-Colell bargaining...

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...

We characterize single-valued solutions of transferable utility cooperative games satisfying core selection and aggregate monotonicity. Fur- thermore, we show that these two properties are compatible with individual rationality, the dummy player property and the symmetry property. We nish...

A necessary condition for the coincidence of the bargaining sets dened by Shimomura (1997) and the core of a cooperative game with transferable utility is provided. To this aim, a set of payo vectors, called max-payo vectors, are introduced. This necessary condition simply checks whether these...

On the domain of two-sided assignment markets, the nucleolus is axiomatized as the unique solution that satisfies derived consistency (Owen, 1992) and complaint mono- tonicity on sectors size. As a consequence, we obtain a geometric characterization of the nucleolus by means of a strong form of...