The main objective of the paper is to study the locus of all core selection and aggregate monotonic point solutions of a TU-game: the aggregate-monotonic core. Furthermore, we characterize the class of games for which the core and the aggregate-monotonic core coincide. Finally, we introduce a...

We provide a different axiomatization of the core interpreted as a reasonable set (Milnor, 1952) and introduce a new property, called max-intersection, related with the vector lattice structure of cooperative games with transferable utility. In particular, it is shown that the core is the only...

This paper deals with the strong constrained egalitarian solution introduced by Dutta and Ray (1991). We show that this solution yields the weak constrained egalitarian allocations (Dutta and Ray, 1989) associated to a finite family of convex games. This relationship makes it possible to define...