2014
DOI: 10.1109/twc.2013.113013.131602
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Network Formation Games in Cooperative MIMO Interference Systems

Abstract: Abstract-This paper considers the cooperative optimization of mutual information in the MIMO Gaussian interference channel in a fully distributed manner via game theory. Null shaping constraints are enforced in the design of transmit covariance matrices to enable interference mitigation among links. The transmit covariance matrices leading to the Nash Equilibrium (NE) are derived, and the existence and uniqueness of the NE is analyzed. The formation of the cooperative sets, that represent the cooperation relat… Show more

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Cited by 13 publications
(31 citation statements)
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References 32 publications
(41 reference statements)
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“…A deviation in which a user leaves a coalition and joins another if this improves his payoff leads to Nash stability [28] and has been used in [29] in the context of channel sensing and access in cognitive radio. In [30], individual stability which is a weaker stability concept than Nash stability is used for coalitional games in the multiple-input multiple-output (MIMO) interference channel. A coalition of links cooperate by performing ZF to each other.…”
Section: B Applications Of Coalitional Games In Partition Formmentioning
confidence: 99%
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“…A deviation in which a user leaves a coalition and joins another if this improves his payoff leads to Nash stability [28] and has been used in [29] in the context of channel sensing and access in cognitive radio. In [30], individual stability which is a weaker stability concept than Nash stability is used for coalitional games in the multiple-input multiple-output (MIMO) interference channel. A coalition of links cooperate by performing ZF to each other.…”
Section: B Applications Of Coalitional Games In Partition Formmentioning
confidence: 99%
“…Simulation results reveal the tradeoff between coalition formation complexity and the obtained performance of the links. In addition, we compare our algorithm regarding complexity and performance to the algorithms in [26] and [30].…”
Section: Contributionsmentioning
confidence: 99%
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“…6 Another way to ensure convergence of the considered coalition formation algorithm is by associating with each player a history set which is utilized to prevent the player from joining a coalition it has been a member of before, as in e.g. [19], [21], [32], [33].…”
Section: A Coalition Formationmentioning
confidence: 99%
“…Thus, individual-based stability can be considered to be more restrictive than group-based stability in the deviation model and hence is generally of less complexity. Such stability concepts have been applied in [19] in the context of cooperative channel sensing and access in cognitive radio and in [21] for cooperative precoding in the MIMO interference channel.…”
Section: Introductionmentioning
confidence: 99%