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.

翻译：我们考虑的是机器人先知不平等问题,这个问题在适应机制方面已经进行了广泛研究,特别是对所有机器人都存在耗资2美元的激烈竞争机制,然而,尚不清楚哪类机器人在不断保证的情况下接受非适应机制。最近,有证据表明,在图形机器人方面存在着具有不断竞争力的非适应机制。在这项工作中,我们发现,各种已知的类机器人都接受具有不断竞争力的非适应机制。