Introducing hierarchy in energy games

Lasaulce, Samson; Hayel, Yézékaël; Azouzi, Rachid El; Debbah, M.

doi:10.1109/twc.2009.081443

Cited by 82 publications

(103 citation statements)

References 23 publications

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“…The NE selection issue however is beyond the scope of this paper. A possible way to tackle this problem would to consider hierarchical games, where one user is assumed to be the leader of the game and chooses hits best strategy having complete information on the strategy chosen by its opponent [15].…”

Section: Theorem 33mentioning

confidence: 99%

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Resource allocation games in interference relay channels

Belmega

Djeumou

Lasaulce

2009

2009 International Conference on Game Theory for Networks

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Abstract-In this paper we study a distributed network comprising an interference channel in parallel with an interference relay channel. Therefore each source node can use two frequency bands and has to implement a certain power allocation policy. An example of application of such a model is the case where the performance of terminals operating in unlicensed bands would be enhanced by being allowed to exploit an additional frequency band in which a relay is available. In this network model, each user is selfish and wants to maximize its Shannon transmission rate. We analyze two cases. In the first case, the relaying node is assumed to implement an amplify-andforward (AF) protocol while in the second case it implements the decode-and-forward (DF) protocol introduced by Cover and El Gamal. For both cases we analyze the existence and uniqueness issues of the equilibrium of the aforementioned power allocation games. Several interesting and new results are provided. In particular: 1. The existence of a Nash equilibrium is shown to be always guaranteed in the case of the AF protocol; 2. The performance of a user or the network does not necessarily increase with the transmit power available at the relay; 3. We show that there is naturally a game in interference relay channels (even if the power allocation policy is fixed) when the DF protocol is used; this game is induced by the decentralized choice of the cooperation degree between each source node and the relay node.

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Section: Theorem 33mentioning

confidence: 99%

“…(15). In this case the state of the network becomes the quadruplet (θ 1 , τ 1 , θ 2 , τ 2 ).The existence of the NE is more difficult to be dealt with.…”

Section: A General Power Allocation Gamementioning

confidence: 99%

Resource allocation games in interference relay channels

Belmega

Djeumou

Lasaulce

2009

2009 International Conference on Game Theory for Networks

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“…To the authors' knowledge, in all works using this approach ( [9], [4], [10], [11], [12], [13], etc. ), the same (pragmatic) choice is made for f : f (x) = (1−e −αx ) N , where α is a constant and N the block length in symbols.…”

mentioning

confidence: 99%

Energy-Efficient Precoding for Multiple-Antenna Terminals

Belmega

Lasaulce

2011

IEEE Trans. Signal Process.

103

133

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The problem of energy-efficient precoding is investigated when the terminals in the system are equipped with multiple antennas. Considering static and fast-fading multiple-input multiple-output (MIMO) channels, the energy-efficiency is defined as the transmission rate to power ratio and shown to be maximized at low transmit power. The most interesting case is the one of slow fading MIMO channels. For this type of channels, the optimal precoding scheme is generally not trivial. Furthermore, using all the available transmit power is not always optimal in the sense of energy-efficiency (which, in this case, corresponds to the communication-theoretic definition of the goodput-to-power (GPR) ratio). Finding the optimal precoding matrices is shown to be a new open problem and is solved in several special cases: 1. when there is only one receive antenna; 2. in the low or high signal-to-noise ratio regime; 3. when uniform power allocation and the regime of large numbers of antennas are assumed. A complete numerical analysis is provided to illustrate the derived results and stated conjectures. In particular, the impact of the number of antennas on the energy-efficiency is assessed and shown to be significant.

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“…In [6], the impact of widely linear filtering on the EE of wireless networks is investigated. In [7], a hierarchical approach based on Stackelberg games is used to tackle the energy-efficient power control problem, while in [8], a power control algorithm based on a repeated-game approach is proposed. In [9], the impact of relaying on the EE of wireless networks is studied.…”

Section: Introductionmentioning

confidence: 99%

Distributed energy-aware resource allocation in multi-antenna multi-carrier interference networks with statistical CSI

Zappone

Alfano

Buzzi

et al. 2013

J Wireless Com Network

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Resource allocation for energy efficiency optimization in multi-carrier interference networks with multiple receive antennas is tackled. First, a one-hop network is considered, and then, the results are extended to the case of a two-hop network in which amplify-and-forward relaying is employed to enable communication. A distributed algorithm which optimizes a system-wide energy-efficient performance function, and which is guaranteed to converge to a stable equilibrium point, is provided. Unlike most previous works, in the definition of the energy efficiency, not only the users' transmit power but also the circuit power that is required to operate the devices is taken into account. All of the proposed procedures are guaranteed to converge and only require statistical channel state information, thus lending themselves to a distributed implementation. The asymptotic regime of a saturated network in which both the active users and the number of receive antennas deployed in each receiver grow large is also analyzed. Numerical results are provided to confirm the merits of the proposed algorithms.

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Introducing hierarchy in energy games

Cited by 82 publications

References 23 publications

Resource allocation games in interference relay channels

Resource allocation games in interference relay channels

Energy-Efficient Precoding for Multiple-Antenna Terminals

Distributed energy-aware resource allocation in multi-antenna multi-carrier interference networks with statistical CSI

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