拟阵次小闭类的非自适应先知不等式
Non-Adaptive Prophet Inequalities for Minor-Closed Classes of Matroids
AI总结：
针对拟阵先知不等式中非自适应机制的常数竞争保证问题，本文证明多个已知拟阵类别（次小闭类）均存在常数竞争的非自适应机制。
摘要：
我们研究拟阵先知不等式问题。该问题在自适应机制情形下已被广泛研究，特别是，针对所有拟阵存在一种紧的2-竞争机制。然而，尚不清楚哪些拟阵类别允许具有常数保证的非自适应机制。最近已有研究表明，图拟阵存在常数竞争的非自适应机制。在本工作中，我们证明多个已知拟阵类别均允许常数竞争的非自适应机制。
英文摘要：
We consider the matroid prophet inequality problem. This problem has been extensively studied in the case of adaptive mechanisms. In particular, there is a tight $2$-competitive mechanism for all matroids. However, it is not known what classes of matroids admit non-adaptive mechanisms with constant guarantee. Recently, it was shown that there are constant-competitive non-adaptive mechanisms for graphic matroids. In this work, we show that various known classes of matroids admit constant-competitive non-adaptive mechanisms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
