Joint Trajectory Design and Power Optimization in Adversarial UAV Communications: A Game Theory Framework

To address the challenges of dynamic jamming and resource optimization in Unmanned Aerial Vehicle (UAV) confrontation communication networks, this paper proposes a hierarchical game framework for joint trajectory design and power allocation. These elements are inherently coupled: jamming degrades channel quality, prompting UAVs to adapt both their trajectories to improve spatial positioning and reduce jamming exposure, and their power allocation to maintain communication effectiveness under interference. The framework captures this interplay through a differential game for trajectory optimization and a Stackelberg game for power allocation, with the Nash equilibrium (NE) rigorously defined and its existence proved. To overcome the complexity of solving the Hamilton-Jacobi-Bellman equation, an adaptive dynamic programming algorithm is employed to approximate the value functions for both trajectory and power optimization. Simulations validate the effectiveness of the proposed framework, demonstrating that it accurately captures the strategic interactions between UAVs and provides robust decision support for resource optimization in dynamic adversarial environments.