Secretary Problem Thresholds and Convergents of $1/e$

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摘要 / Abstract

arXiv:2606.19298v1 Announce Type: new Abstract: We prove that if $p/q$ is a continued fraction convergent of $1/e$ with $q\geq 3$, then, for the secretary problem with $q$ applicants, the optimal number of initially rejected applicants is $p$.

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