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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper considers the setting of a sensor network (or agents) in a noisy environment that are able to communicate locally. The authors prove that theoretical bounds on the number of active queries can be achieved through simple best response dynamics. The paper is very well-written, technically correct, and the synthetic experiment makes the results clear. The theoretical results are novel and I think that the paper deserves to be published to be published at NIPS.