This paper considers the so-called MIMO interference channel. This situationhas relevance in applications such as multi-cell coordination in cellularnetworks as well as spectrum sharing in cognitive radio networks among others.We address the design of precoding (i.e. beamforming) vectors at each senderwith the aim of striking a compromise between beamforming gain at the intendedreceiver (Egoism) and the mitigation of interference created towards otherreceivers (Altruism). Combining egoistic and altruistic beamforming has beenshown previously to be instrumental to optimizing the rates in a MISOinterference channel (i.e. where receivers have no interference cancelingcapability) . Here we explore these game-theoretic concepts in the more generalcontext of MIMO channels and using the framework of Bayesian games, allowing usto derive (semi-)distributed precoding techniques. We draw parallels withexisting work on the MIMO interference channel, including rate-optimizing andinterference-alignement precoding techniques, showing how such techniques maybe improved and re-interpretated through a common prism based on balancingegoistic and altruistic beamforming.
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