2nd International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications

Research Article

Efficiency of Sequential Bandwidth and Power Auctions With Rate Utilities

  • @INPROCEEDINGS{10.1109/CROWNCOM.2007.4549838,
        author={Junjik  Bae and Eyal Beigmany and Randall  Berry and Michael  L. Honig and Rakesh Vohray},
        title={Efficiency of Sequential Bandwidth and Power Auctions With Rate Utilities},
        proceedings={2nd International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications},
        publisher={IEEE},
        proceedings_a={CROWNCOM},
        year={2008},
        month={6},
        keywords={Attenuation  Background noise  Bandwidth  Computational modeling  Cost accounting  Energy management  Interference constraints  Peer to peer computing  Resource management  Transmitters},
        doi={10.1109/CROWNCOM.2007.4549838}
    }
    
  • Junjik Bae
    Eyal Beigmany
    Randall Berry
    Michael L. Honig
    Rakesh Vohray
    Year: 2008
    Efficiency of Sequential Bandwidth and Power Auctions With Rate Utilities
    CROWNCOM
    IEEE
    DOI: 10.1109/CROWNCOM.2007.4549838
Junjik Bae1,*, Eyal Beigmany2,*, Randall Berry1,*, Michael L. Honig1,*, Rakesh Vohray2,*
  • 1: EECS Department Northwestern University, Evanston, IL 60202
  • 2: CMS-EMS, Kellogg School of Management Northwestern University, Evanston, IL 60208
*Contact email: junjik@northwestern.edu, e-beigman@northwestern.edu, frberry@ece.northwestern.edu, mhg@ece.northwestern.edu, r-vohrag@northwestern.edu

Abstract

We study a sequential second-price auction for allocating wireless resources between two non-cooperative users. This mechanism requires relatively little computation and information exchange among agents, but does not always achieve an efficient allocation. This is a continuation of previous work in which the worst-case efficiency is evaluated, assuming each user has full knowledge of the other user’s utility function. Here we assume that the users are randomly placed within a region, and evaluate the associated efficiency via simulation. Sequential auctions for bandwidth (with fixed power) and for power (with fixed bandwidth) are considered, where each user utility is the achievable rate, and interference is treated as background noise. Our results show that the sequential auction typically achieves the efficient (utility-maximizing) allocation. We also relate observed improvements in the worst-case efficiency to constraints on the size of the marginal utilities associated with each resource.