A network is a common resource typically shared by several services, and so, it is important to determine the share of each service in the total energy consumed by the network. The network energy consumption is composed of a variable component which is consumed to serve traffic, and a fixed component consumed irrespective of traffic. The share of a service in the variable energy consumption equals its traffic proportion as this energy component is load-dependent. In this paper, we focus on the fixed energy consumption and share the responsibility of the services transported by a end-to-end network in its fixed energy consumption. To do so, we use our model based on the cooperative game concept Shapley value introduced in a previous work [1] and apply it first to traffic, then to so-called useful outputs. According to ETSI, the useful output of an equipment is defined to be its maximum capacity and is expressed as the number of Erlangs, packets/s, subscribers, or simultaneously attached users. We consider seven network blocks composing the end-to-end path, namely, the radio access, the fixed access, the aggregation, the mobile core, the registers, the IP core and the service platforms. We consider five service categories: Streaming, Web, Download, other data services and Voice. We apply our model on a real data set extracted from an operational network in Europe, and analyze the end-to-end energy consumption assigned to the service categories