A labor market where firms and workers are heterogeneous and may form more than one partnership is considered. A natural concept of core for such markets, different from the concept used by Thompson (1977), is defined. We show that the core is non-empty and is, in general, strictly greater than...

The Multiple Partners assignment game is a natural extension of the Shapley and Shubik Assignment Game (Shapley and Shubik, 1972) to the case where the participants can form more than one partnership. In Sotomayor (1992) the existence of stable outcomes was proved. For the sake of completeness...