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Noncooperative power control and transmission scheduling in wireless collision channels

Published: 02 June 2008 Publication History

Abstract

We consider a wireless collision channel, shared by a finite number of mobile users who transmit to a common base station using a random access protocol. Mobiles are self-optimizing, and wish to minimize their individual average power investment subject to minimum-throughput demand. The channel state between each mobile and the base station is stochastically time-varying and is observed by the mobile prior to transmission. Given the current channel state, a mobile may decide whether to transmit or not, and to determine the transmission power in case of transmission. In this paper, we investigate the properties of the Nash equilibrium of the resulting game in multiuser networks.
We characterize the best-response strategy of the mobile and show that it leads to a "water-filling"-like power allocation. Our equilibrium analysis then reveals that one of the possible equilibria is uniformly best for all mobiles. Furthermore, this equilibrium can be reached by a simple distributed mechanism that does not require specific information on other mobiles' actions. We then explore some additional characteristics of the distributed power control framework. Braess-like paradoxes are reported, where the use of multiple power levels can diminish system capacity and also lead to larger per-user power consumption, compared to the case where a single level only is permitted.

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Cited By

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  • (2014)Game-theoretic solutions through intelligent optimization for efficient resource management in wireless visual sensor networksSignal Processing: Image Communication10.1016/j.image.2014.02.00129:4(472-493)Online publication date: Apr-2014
  • (2011)Random Access Game in Fading Channels With CaptureIEEE Transactions on Signal Processing10.1109/TSP.2010.209419459:3(1158-1169)Online publication date: 1-Mar-2011
  • (2008)Reservation-based distributed medium access in wireless collision channelsProceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools10.4108/ICST.VALUETOOLS2008.4475(1-8)Online publication date: 20-Oct-2008
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    Published In

    cover image ACM Conferences
    SIGMETRICS '08: Proceedings of the 2008 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
    June 2008
    486 pages
    ISBN:9781605580050
    DOI:10.1145/1375457
    • cover image ACM SIGMETRICS Performance Evaluation Review
      ACM SIGMETRICS Performance Evaluation Review  Volume 36, Issue 1
      SIGMETRICS '08
      June 2008
      469 pages
      ISSN:0163-5999
      DOI:10.1145/1384529
      Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 02 June 2008

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    Author Tags

    1. channel state information
    2. non-cooperative multiple access
    3. power efficient nash equilibrium
    4. uplink collision channel
    5. water-filling power allocation

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    View all
    • (2014)Game-theoretic solutions through intelligent optimization for efficient resource management in wireless visual sensor networksSignal Processing: Image Communication10.1016/j.image.2014.02.00129:4(472-493)Online publication date: Apr-2014
    • (2011)Random Access Game in Fading Channels With CaptureIEEE Transactions on Signal Processing10.1109/TSP.2010.209419459:3(1158-1169)Online publication date: 1-Mar-2011
    • (2008)Reservation-based distributed medium access in wireless collision channelsProceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools10.4108/ICST.VALUETOOLS2008.4475(1-8)Online publication date: 20-Oct-2008
    • (2015)Distributed transmission probability control in fading channel with state informationInternational Journal of Distributed Sensor Networks10.1155/2015/1846292015(30-30)Online publication date: 1-Jan-2015
    • (2011)Network Games: Theory, Models, and DynamicsSynthesis Lectures on Communication Networks10.2200/S00330ED1V01Y201101CNT0094:1(1-159)Online publication date: 9-Mar-2011
    • (2011)Reservation-based distributed medium access in wireless collision channelsTelecommunications Systems10.1007/s11235-010-9304-447:1-2(95-108)Online publication date: 1-Jun-2011

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