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We consider a distributed resource allocation problem in a multicarrier multi-user MIMO network where multiple transmitter-receiver links interfere among each other. Each user aims to maximize its own energy efficiency by adjusting its signal covariance matrix under a predefined power constraint. This problem has been addressed recently by applying a matrix exponential learning (MXL) algorithm which has a very appealing convergence rate. In this learning algorithm, however, each transmitter must know an estimate of the gradient matrix of the user utility. The knowledge of the gradient matrix at the transmitters incurs a high signaling overhead especially that this matrix size increases with the number of antennas and subcarriers. In this paper, we therefore investigate two strategies in order to decrease the informational exchange per iteration of the algorithm. In the first strategy, each user sends at each iteration …