abstract, we propose a study on joint rate-and-power allocation problem for multi-channel spectrum sharing networks (SSNs). We formulate this cross-layer optimization problem as a non-cooperative potential game GJRP A in which each user has a coupled two-tuple strategy, i.e., simultaneous rate and multi-channel power allocations. A multiobjective cost function is designed to represent user's awareness of both QoS provisioning and power saving. Using the game-theoretic formulation, we investigate the properties of Nash equilibrium (N.E.) for our GJRP A model, including its existence, and properties of QoS provisioning as well as power saving. Furthermore, a layered structure is derived by applying Lagrangian dual decomposition to GJRP A and a distributed algorithm is proposed to find the N.E. via this structure.
Yuan Wu, Danny H. K. Tsang