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Single relay selection has been shown to be an attractive strategy for cooperative communications. In this work, we extend the distributed selection cooperation protocol with feedback to multisource multidestination cooperative networks and investigate the best relay confliction problem existing in the scenario. In the high signal-to-noise ratio (SNR) regime, due to the fact that sharing the same best relay by multiple source nodes has no influence on the diversity-multiplexing tradeoff (DMT) performance for each communication pair, the single relay sharing method is a simple and effective solution. For some practical systems with low or medium SNR, we propose two power allocation algorithms for the shared best relay and show that the method based on maximizing the number of successful relay flows is efficient in distributed scenarios with low complexity.