Mixed Nash Equilibria for In-Band Full-Duplex Networks

This letter offers the first characterization of mixed Nash equilibria (MNE) for a wireless system with full-duplex (FD) capable terminals and slotted Aloha channel access. Focusing on a simple topology, we prove that MNE exist only if proportionality, driven by the accuracy of self-interference cancellation, is granted between the cost undergone for FD and half-duplex operations. The analysis shows how a proper selection of costs allows MNE that are also optimal from a network viewpoint in terms of aggregate throughput. The sensitivity of system performance to costs is tackled considering the price of anarchy.