A Jamming Game for Fleets of Mobile Vehicles

We consider a two-player Nash game in which each player represents a fleet of unmanned aerial vehicles. Each fleet is supposed to distribute information among fleet members, while simultaneously trying to prevent the opposite fleet from achieving this. Using the electro-magnetic spectrum’s properties, we model each fleet’s task as a nonlinear Nash game. By reformulating conditions for Nash equilibria, we provide a fixed-point algorithm for this game and show its convergence under mild conditions. In practice, the game considered will often be solved in a distributed setting, where each member of each fleet computes information separately. We thus propose a corresponding distributed optimization algorithm and show its convergence. Numerical results illustrate the flexibility of our approach.

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