Power management game for cooperative localization in asynchronous networks

High-precision positioning techniques have a promising future in various applications. Recent work shows that inter-node cooperation can increase the positioning accuracy. In general, such cooperation consumes additional power, and current power application techniques are limited in synchronous networks. To study the power allocation in asynchronous networks, this paper proposes a power management game for cooperative localization, where each user allocates power that minimizes its square error positioning bound (SPEB) penalized by the power cost. Such game-theoretic power allocation policy not only considers how to allocate power over different cooperative links, but also manages the total power consumed for a better performance and power trade-off. We show that, in twouser networks, the power management game admits a unique cooperating Nash Equilibrium (NE) in high SNR region. In addition, as the power budget goes to infinity, the proposed gametheoretic power allocation policy can achieve SPEB arbitrarily close to that under exhaustive power allocation, but requires much less power.