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We investigate the problem of eavesdropping control in wireless communications networks. When a confidential message is transmitted through a wireless network, there is a potential security breach or 'information leakage' due to the network's susceptibility to eavesdropping. In this work, we quantify the information leakage problem in the context of resource allocation. By limiting the signal to interference and noise ratio (SINR) at the eavesdropper receiver, we develop a cooperative power allocation algorithm to mitigate such security vulnerability. The resulting power allocation algorithm is readily applicable in the physical layer of wireless ad hoc and mesh networks as part of a multi-step security measure.