A Jamming Game with Fair Trade-off between SINR and Power Saving

Wireless technologies are susceptible to malicious interference or jamming due to their shared and open-access nature. To design anti-jamming protocols within such hostile environments, the difference between throughput or signal-to-interference-plus-noise ratio (SINR) and the cost of applied power resources is typically considered. Meanwhile widely using different battery-powered mobile units, which might be difficult to serve (say, for recharging), calls for developing a more flexible energy management scheme (quality of service (QoS) metric) maintaining uninterrupted communication with energy-saving of involved restricted power resources. For example, such a communication task, for the drone operator, is to support communication with the drone. Meanwhile, for the anti-drone operator, the task is to degrade such communication. To deal with this challenge, in this paper, we suggest implementing alpha-fairness criteria as such metric to connect power-saving tasks and communication tasks. The problem is modeled by a non-zero-sum two-agent resource allocation game. The equilibrium is derived and its uniqueness is proven to reflect stability in communication based on the suggested anti-jamming communication protocol. An approach how to select the fairest protocol from a derived continuum of protocols (a protocol per a fairness coefficient) is suggested and illustrated.