Equilibrium Outcomes of Dynamic Games in MIMO Channels with Active Eavesdroppers

Abstract

Abstract-This paper investigates transmission strategies in a MIMO wiretap channel with a transmitter, receiver and wiretapper, each equipped with multiple antennas. The secrecy rate between the transmitter and the legitimate receiver is chosen as the performance metric. In a departure from existing work, the wiretapper is able to act either as a passive eavesdropper or as an active jammer, under a half-duplex constraint. The transmitter therefore faces a choice between allocating all of its power for data; or broadcasting artificial noise along with the information signal in order to selectively degrade the eavesdropper's channel. We model the network as a dynamic zero-sum game in extensive form with the secrecy rate as the payoff function. We first examine subgame-perfect equilibrium strategies in the extensive form of the game with perfect information. We then discuss sequential and trembling hand perfect equilibria for the case of imperfect information. Finally, numerical simulations are presented to corroborate the analytical results.

Game theory meets network security and privacy

“…In reality, jammers and eavesdroppers can coexist in communication networks. In [Mukherjee and Swindlehurst 2010], the authors consider the case where a malicious user can choose to behave as a jammer or an eavesdropper, and they formulate a zero-sum dynamic game to model the interactions between a transmitter and a dual eavesdropper/jammer. In addition, in , the authors analyze the complex interactions between wireless users and a malicious node in the context of relay station-enabled wireless networks.…”

Power Allocation in Team Jamming Games in Wireless Ad Hoc Networks

“…To ensure secure communications, each team would need to allocate power to jam the eavesdroppers. In fact, a more general scenario is when adversarial teams consist of active eavesdroppers: malicious nodes that can act as jammers and eavesdroppers [21].…”

Interference Alignment for the MIMO Wiretap Channel with a Hostile Jammer

“…Recent work also considered by using friendly helpers to provide jamming signals to confuse the eavesdropper [15]- [23]. A wiretapper with a half-duplex model, which is eavesdropping passively or jamming the intended receiver, was considered in [20].…”