论文标题

关于最佳选择问题的$ 1/e $ $ strategy在没有信息的情况下

On the $1/e$-strategy for the best-choice problem under no information

论文作者

Bruss, F. Thomas

论文摘要

本文的主要目的是纠正先前提交的版本[*]:= arxiv:2004.13749v1中的错误。 [*]已经在科学期刊上被接受,但在发现错误后被作者撤回。对于退出Arxiv,我们遵循他们的偏爱,以保持剩余的关注。开放问题的背景以及随之而来的简短调查,请保持相关性。这些在当前更正的版本中保持了自己的位置。对于[*]证明的两个新的修改赔率理论也是如此,因为它们适用于几种不同的停止问题。然后,尤其是,我们显示了[*]中错误的确切发生,为什么它使其主要定理和标题无效,以及结论是什么。在第4节中,对没有价值的最佳策略的最终讨论被认为具有一般独立利益。

The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific journal, but withdrawn by the author after the discovery of the error. For the withdrawal from arXiv we follow their preference to maintain what remains of interest. The background of the open problem, and the brief survey which comes with it, stay relevant. These keep their place in the present corrected version. The same is true for two new modified odds-theorems proved in [*] since they are applicable for several different stopping problems. Then, and in particular, we show where exactly the error occurred in [*], why it invalidates its main theorem and title,and what the conclusions are. The final discussion of optimal strategies without value in Section 4 is believed to be of general independent interest.

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