Pairwise solutions and the core of transportation situations

The main aim of this paper is to study the relationship between the so-called pairwise solutions and the core of transportation situations (or games). With this objective in mind, we show that every core element of a transportation situation is contained in a pairwise solution with a specific weight system. Therefore every core element is, in fact, a particular pairwise distribution. Furthermore, given a core element, we outline a procedure in three steps to obtain the corresponding pairwise distribution with weight system.