In this paper we study the generalized version of weighted matching in
bipartite networks. Consider a weighted matching in a bipartite network in
which the nodes derive value from the split of the matching edge assigned to
them if they are matched. The value a node derives from the split depends both
on the split as well as the partner the node is matched to. We assume that the
value of a split to the node is continuous and strictly increasing in the part
of the split assigned to the node.