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.
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Feige, U., Flaxman, A., Hartline, J.D., Kleinberg, R. (2005). On the Competitive Ratio of the Random Sampling Auction. In: Deng, X., Ye, Y. (eds) Internet and Network Economics. WINE 2005. Lecture Notes in Computer Science, vol 3828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11600930_89
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DOI: https://doi.org/10.1007/11600930_89
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30900-0
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