A differential game model for transmission and jamming of information

A zero-sum differential game model is presented for two players who are both transmitting information and jamming their opponent at the same time, under channel capacity constraints. The problem for each player is to find an optimal strategy for allocating this capacity over the duration of the game. Given a cost function for the game, conditions are determined under which equilibrium strategies exist. These strategies are found to be of the bang-bang variety and depend on game parameters such as the channel capacity and jamming effectiveness of the players, as well as the duration of the game.