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We consider the problem of estimating the locations of multiple interfering transmitters based on measurements of received signal strength. Specifically, we explore the challenge of performing this estimation task in a distributed fashion. We propose a gossip-based distributed algorithm for multiple transmitter localization and determine the gossip configuration that minimizes bounds on convergence time. A performance comparison between the proposed distributed algorithm and competing centralized algorithms is presented. Results enable the study of trade-offs between localization accuracy and system parameters such as fault tolerance, energy consumption, and computational complexity.