A Potential Game for Power and Frequency Allocation in Large-Scale Wireless Networks

In this paper, the authors analyze power and frequency allocation in wireless networks through potential games. Potential games are used frequently in the literature for this purpose due to their desirable properties, such as convergence and stability. However, potential games usually assume massive message passing to obtain the necessary neighbor information at each user to achieve these properties. In this paper, they show an example of a game where they are able to characterize the necessary neighbor information in order to show that the game has a potential function and the properties of potential games.