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Approximation Algorithms for Secondary Spectrum Auctions

Published: 28 October 2014 Publication History

Abstract

We study combinatorial auctions for secondary spectrum markets, where short-term communication licenses are sold to wireless nodes. Channels can be assigned to multiple bidders according to interference constraints captured by a conflict graph. We suggest a novel approach to such combinatorial auctions using a graph parameter called inductive independence number. We achieve good approximation results by showing that interference constraints for wireless networks imply a bounded inductive independence number. For example, in the physical model the factor becomes O(√k log2 n) for n bidders and k channels. Our algorithms can be turned into incentive-compatible mechanisms for bidders with arbitrary valuations.

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    cover image ACM Transactions on Internet Technology
    ACM Transactions on Internet Technology  Volume 14, Issue 2-3
    Special Issue on Pricing and Incentives in Networks and Systems and Regular Papers
    October 2014
    287 pages
    ISSN:1533-5399
    EISSN:1557-6051
    DOI:10.1145/2684804
    Issue’s Table of Contents
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    Publication History

    Published: 28 October 2014
    Accepted: 01 June 2014
    Revised: 01 March 2014
    Received: 01 September 2013
    Published in TOIT Volume 14, Issue 2-3

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    Author Tags

    1. Combinatorial auctions
    2. SINR
    3. inductive independence number

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