Security is becoming an increasingly important issue in wireless communications, to which physical layer approaches can contribute by providing addition resources for securing confidential messages. In this paper, the resilience of multi-user networks to passive and active eavesdropping is investigated. In particular, average secrecy capacities are evaluated in scenarios involving a base station and several terminals, some of which constitute passive or active eavesdroppers. Network resources (e.g. power) are allocated by the base station based on the available channel state information.