In this paper, we study monopolistic pricing behaviors within a two-way net
work. In this symbiotic production system, independent decision centers car
ry out an activity which concurs to the production of different system good
s. The players are assumed to know the whole network. Due to this rationali
ty, they try to capture a share of the profit of the firms who sell the sys
tem goods to the consumers. These double marginalization behaviors are stud
ied within very general networks. Conditions with ensure existence and uniq
ueness are discussed. We even provided a complete characterization of an eq
uilibrium. Potential applications are also discussed