Energy-constrained Mean Field Games in Wireless Networks

This article is part of a Special Issue on ICT-based Strategies for Environmental Conflicts. In this paper, we study anti-jamming problems in energy-aware wireless networks using mean field stochastic games. We consider three types of users: jammers, primary users and secondary users. When active, each secondary transmitter–receiver uses carrier sensing and is subject to a long-term energy constraint. We formulate the interaction between primary and large number of secondary users as a hierarchical mean field game. The proposed mean field framework allows one to describe the evolution of the remaining energy distribution and the location of the secondary users. We provide explicit optimal strategies for both primary and secondary users based on attackers strategies. Each secondary user reacts to the aggregative behavior of the others and manages its battery based on the anticipated complete characterization of the optimal distribution of energy.