2012
DOI: 10.1109/jsac.2012.120109
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Distributed Learning Policies for Power Allocation in Multiple Access Channels

Abstract: Abstract-We analyze the power allocation problem for orthogonal multiple access channels by means of a non-cooperative potential game in which each user distributes his power over the channels available to him. When the channels are static, we show that this game possesses a unique equilibrium; moreover, if the network's users follow a distributed learning scheme based on the replicator dynamics of evolutionary game theory, then they converge to equilibrium exponentially fast. On the other hand, if the channel… Show more

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Cited by 65 publications
(70 citation statements)
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References 46 publications
(105 reference statements)
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“…In the game G (a) , the uniqueness of the NE has been shown to hold with probability one [9]. Theorem 1 (NE uniqueness in parallel MAC).…”
Section: Uniqueness Of the Pure Nementioning
confidence: 99%
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“…In the game G (a) , the uniqueness of the NE has been shown to hold with probability one [9]. Theorem 1 (NE uniqueness in parallel MAC).…”
Section: Uniqueness Of the Pure Nementioning
confidence: 99%
“…A formal proof of Theorem 1 is provided in [9]. This proof is based on the concept of degeneracy which allows one to characterize the directions along which the potential remains constant.…”
Section: Uniqueness Of the Pure Nementioning
confidence: 99%
See 2 more Smart Citations
“…Optimizing power allocation in such a way has been investigated in both single- [4,5,10] and multi-carrier scenarios [6,11,12]. In particular, the authors of [3,4,10] investigated the role of pricing as an effective mechanism to measure the cost of power consumption, thus leading to an energy-efficient formulation where users seek to maximize their transmission rate while keeping their transmit power in check (see also the very recent paper [12] where the authors consider the problem of maximizing the users' transmission rate per unit of transmitted power subject to minimum rate requirements).…”
Section: Introductionmentioning
confidence: 99%