Strategic Power Allocation With Incomplete Information in the Presence of a Jammer

Abstract

In this paper, distributed competitive interactions between a secondary user (SU) transmitter-receiver pair and a jammer are investigated using a game-theoretic framework under physical interference restrictions, power budget constraints, and incomplete knowledge of channel gains. In this game, the SU transmitter is expected to choose its power strategy with the objective of satisfying a minimum signal-to-interference plus noise ratio (SINR) at the corresponding receiver. Similarly, the jammer's objective is to strategically allocate its power so that the SINR constraint of the SU is not satisfied. Due to a lack of complete information, this strategic power allocation problem between the two players is modeled as a Bayesian game for which the self-enforcing strategies of the SU transmitter-receiver pair and the jammer are analyzed. Furthermore, probability distributions are employed by the corresponding players to model the incomplete nature of the game. The solution of the game corresponds to Nash Equilibria (NE) points. Equilibrium analysis is carried out by considering the mixed strategy solution space and numerical examples are presented for illustration.

Power Control Games Between Anchor and Jammer Nodes in Wireless Localization Networks

“…The assumption in the proposition corresponds to practical scenarios with a sufficient number of anchor nodes and guarantees the invertibility of the Fisher information matrix. function of player J in (20). Based on a similar approach to that in [33], the solution of the optimization problem in (20) can be expressed as It is important to note that the Nash equilibrium obtained by (22) based on Proposition 2 may not be unique.…”

“…In the literature, game theoretic frameworks have been applied for investigating power allocation strategies of users in a competitive system. In [20], competitive interactions between a secondary user transmitter-receiver pair and a jammer are analyzed by applying a game-theoretic framework in the presence of interference constraints, power constraints, and incomplete channel gain information. In particular, the strategic power allocation game between the two players is proposed first, and then it is presented that the solution of the game corresponds to Nash equilibria points.…”

“…Although there exist research papers that analyze the noncooperative behavior of system users and jammer nodes in wireless communication networks in terms of successful transmissions under a minimum signal-to-interference-plus-noise ratio (SINR) constraint and error probability [20], [21], no studies in the literature have investigated the interactions between anchor nodes and jammer nodes in a wireless localization network, where target nodes estimate their positions based on signals received from anchor nodes and jammer nodes try to degrade the localization performance of the network. In the field of wireless localization, there exist some recent studies (e.g., [13] and [22]) that analyze the interactions of entities in a wireless localization network.…”

An Anti-Jamming Hierarchical Optimization Approach in Relay Communication System via Stackelberg Game

“…As a major threat to reliable communication, the jammer can launch noise-like signals to legitimate receiver to decrease communication quality. In order to cope with malicious jamming attacks, a lot of anti-jamming works have been studied that focused on power control [1][2][3][4][5][6][7][8][9][10], frequency selection [11][12][13][14][15][16][17][18][19][20], and spatial domain [21][22][23][24][25], and many effective anti-jamming technologies were proposed. In this paper, we investigate the anti-jamming hierarchical optimization problem in relay communication system.…”

“…In [2], based on the competitive relationship between user and jammer, a Stackelberg game was proposed to model the anti-jamming communication hierarchical optimization problem in the presence of smart jammer. Considering it is hard for the user and jammer to obtain the accurate power and channel state information, the authors analyzed the anti-jamming performance with observation error in [3][4][5]. In [6], the authors studied the communication problem between in WBANs via Stackelberg frame facing jamming attacks.…”