Jamming Games in Fast-Fading Wireless Channels

In this paper, we adopt outage probability (lambda-capacity) in fast fading channels as a pay-off function in a zero- sum game between a legitimate transceiver pair and an uncorrelated Gaussian jammer. The transmitter aims at minimizing the outage probability, while the jammer attempts to maximize the outage probability. We consider both peak (over each codeword) and average (over all codewords) power constraints. For peak power constraints, a transmission rate is either supported by the system, or if too large, causes the whole transmission to fail. By imposing average power constraints, large rates can be supported at the cost of positive probability of codeword error. Maxmin and minimax power control strategies are developed, which show that no Nash equilibrium of pure strategies exists under average power constraints.