In a previous work we studied the equilibrium behavior in a telecommunication market where two interconnected rms compete, using linear pricing schemes, in the presence of social networks among customers. We showed that social networks matter because equilibrium prices and welfare critically depend on how people are socially related. In this paper we extend the basic model to the nonlinear case, in particular, we consider the cases when rms can discriminate depending on the destiny of a call or, alternatively, when they can use two part tari¤s. The standard regulated environment, in which the authority de nes interconnection access charges as being equal to marginal costs and nal prices are left to the market, is considered as a benchmark. The role of social networks is shown to be crucial in this new context too, despite the fact it has been usually ignored in the literature. Di¤erent regulatory interventions are evaluated in those environments.