Adversarial Jamming and Catching Games over AWGN Channels with Mobile Players

We consider a wireless jamming game played by a receiver and a malicious interferer that wants to disrupt communication. The outcome of the game depends on the characteristics of the wireless medium with distance-dependent path loss. The players can leverage this by changing their physical location. We consider both a static scenario where a position is kept forever by the players, and a dynamic one where players can change it over subsequent steps. We also include an optional feature for the receiver to catch the jammer when it is too close, which nullifies its jamming. The conclusion is that, in a mobile scenario, losing players see an improvement of their payoffs (or better, they cut their losses). As a result, we characterize the Price of Mobility, i.e., the benefit obtained thanks to the ability of changing position.