Research Article
Power Allocation in Team Jamming Games in Wireless Ad Hoc Networks
@INPROCEEDINGS{10.4108/icst.valuetools.2011.245805, author={Sourabh Bhattacharya and Ali Khanafer and Tamer Basar}, title={Power Allocation in Team Jamming Games in Wireless Ad Hoc Networks}, proceedings={4th International ICST Workshop on Game Theory in Communication Networks}, publisher={ACM}, proceedings_a={GAMECOMM}, year={2012}, month={6}, keywords={game theory pursuit-evasion games jamming}, doi={10.4108/icst.valuetools.2011.245805} }- Sourabh Bhattacharya
Ali Khanafer
Tamer Basar
Year: 2012
Power Allocation in Team Jamming Games in Wireless Ad Hoc Networks
GAMECOMM
ICST
DOI: 10.4108/icst.valuetools.2011.245805
Abstract
In this work, we study the problem of power allocation in teams. Each team consists of two agents who try to split their available power between the tasks of communication and jamming the nodes of the other team. The agents have constraints on their total energy and instantaneous power usage. The cost function is the difference between the rates of erroneously transmitted bits of each team. We model the problem as a zero-sum differential game between the two teams and use {\it{Isaacs'}} approach to obtain the necessary conditions for the optimal trajectories. This leads to a continuous-kernel power allocation game among the players. Based on the communications model, we present sufficient conditions on the physical parameters of the agents for the existence of a pure strategy saddle-point equilibrium (PSSPE). Finally, we present simulation results for the case when the agents are holonomic.