Fairness in Sensor Detection Systems

Considering a sensor system to detect the occurrence of an emitter in multiple communities, this paper discusses the issue of fairness in such systems. Fairness can be an issue because sensor detection systems can be configured in multiple ways and the resulting detection performance can vary from community to community. In this paper, we argue for a framework based on max-min envy-free fairness; and we show that there are conditions when it is possible to design distributed detection systems that are max-min envy-free fair. We discuss the loss of detection power in a fair system and we propose a procedure to allocate sensors to reduce the loss of detection power and design a max-min envy-free fair system.