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  • 标题:Optimal Single-Choice Prophet Inequalities from Samples
  • 本地全文:下载
  • 作者:Aviad Rubinstein ; Jack Z. Wang ; S. Matthew Weinberg
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2020
  • 卷号:151
  • 页码:1-10
  • DOI:10.4230/LIPIcs.ITCS.2020.60
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We study the single-choice Prophet Inequality problem when the gambler is given access to samples. We show that the optimal competitive ratio of 1/2 can be achieved with a single sample from each distribution. When the distributions are identical, we show that for any constant ε > 0, O(n) samples from the distribution suffice to achieve the optimal competitive ratio (â‰^ 0.745) within (1+ε), resolving an open problem of [José R. Correa et al., 2019].
  • 关键词:Online algorithms; Probability; Optimization; Prophet inequalities; Samples; Auctions
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