On the competitive ratio of the random sampling auction

  • Authors:
  • Uriel Feige;Abraham Flaxman;Jason D. Hartline;Robert Kleinberg

  • Affiliations:
  • Microsoft Research, Redmond, WA;Dept. of Computer Science, Carnegie Mellon University, Pittsburgh, PA;Microsoft Research, Mountain View, CA;Dept. of Computer Science, Cornell University, Ithaca, NY

  • Venue:
  • WINE'05 Proceedings of the First international conference on Internet and Network Economics
  • Year:
  • 2005

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Abstract

We give a simple analysis of the competitive ratio of the random sampling auction from [10]. The random sampling auction was first shown to be worst-case competitive in [9] (with a bound of 7600 on its competitive ratio); our analysis improves the bound to 15. In support of the conjecture that random sampling auction is in fact 4-competitive, we show that on the equal revenue input, where any sale price gives the same revenue, random sampling is exactly a factor of four from optimal.