Coexistence of Age and Throughput Optimizing Networks: A Spectrum Sharing Game

We investigate the coexistence of an age optimizing network (AON) and a throughput (TON) that share common spectrum band. consider two modes long run coexistence: (a) networks compete with each other for access, causing them to interfere (b) cooperate achieve non-interfering access. To model competition, we define non-cooperative stage game parameterized by average AON at beginning stage, derive its mixed strategy Nash equilibrium (MSNE), analyze evolution over infinitely repeated in which plays MSNE every stage. Cooperation uses coordination device performs coin toss during select must access medium. Networks use grim trigger punishment strategy, reverting playing forever if disobeys device. determine there exists subgame perfect equilibrium, i.e., obey as they find cooperation beneficial. show choose only when consist sufficiently small number nodes, otherwise prefer disobey compete.