Optimization by Vector Space Methods
Optimization by Vector Space Methods
Convex Optimization
Wireless Communications
Introducing hierarchy in energy games
IEEE Transactions on Wireless Communications
Physical layer security game: how to date a girl with her boyfriend on the same table
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
Improving wireless physical layer security via cooperating relays
IEEE Transactions on Signal Processing
Fast algorithms for joint power control and scheduling in wireless networks
IEEE Transactions on Wireless Communications
Physical layer security game: interaction between source, eavesdropper, and friendly jammer
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
Minimum BER linear transceivers for MIMO channels via primal decomposition
IEEE Transactions on Signal Processing - Part I
Using game theory to analyze wireless ad hoc networks
IEEE Communications Surveys & Tutorials
Design challenges for energy-constrained ad hoc wireless networks
IEEE Wireless Communications
Joint scheduling and power control for wireless ad hoc networks
IEEE Transactions on Wireless Communications
Distributed Power Allocation With Rate Constraints in Gaussian Parallel Interference Channels
IEEE Transactions on Information Theory
Distributed multiuser power control for digital subscriber lines
IEEE Journal on Selected Areas in Communications
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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 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.