In the marriage problem (two-sided one-to-one matching problem), it is well-known that the weak core, the strong core … equivalence of the G-weak core and the G-strong core. … and the set of stable matchings are all equivalent. This paper generalizes the above observation considering the G-weak …

objects. To measure efficiency, we focus on the set of ex-ante Pareto-optimal (PO) random assignments and on the ex-ante weak … core (CO). We find: 1) PM ⊂ PO but the converse is not always true (there is no Second Theorem of Welfare Economics), 2) PO …