Before revision:  Finally, when the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net  .
After revision:  Finally, when the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net . Finally, we study the relation between cycles and extremality .