Abstract
In this paper we consider the problem of maintaining communication between a transmitter and a receiver in the presence of hostile interference. To maintain communication the transmitter must keep the SINR greater or equal to an SINR threshold, while the adversary aims to break the communication by making this SINR less than this threshold. In particular, we focus on investigating how incomplete information about the adversary’s location can impact the rival’s strategies. Namely, we assume that the transmitter does not know the adversary’s location, but knows only an a priori distribution of possible adversary locations. The problem is formulated as a non-zero Bayesian game between the transmitter and the adversary in a Nash and Stackelberg framework for Rayleigh channel fading gains. Existence and uniqueness of both type of equilibria are proven and derived in closed form. We prove theoretically, and numerically illustrate, that the Stackelberg equilibrium strategy for the transmitter can be non-sensitive to the a priori information, while the Nash equilibrium strategy for the transmitter is always sensitive to such information. The condition when the Stackelberg transmitter equilibrium strategy is non-sensitive to a priori information is derived.
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Garnaev, A., Trappe, W. (2019). A Connectivity Game with Incomplete Information on Jammer’s Location. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN ruSMART 2019 2019. Lecture Notes in Computer Science(), vol 11660. Springer, Cham. https://doi.org/10.1007/978-3-030-30859-9_22
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