论文标题

一种用于计算渐近性的新方法,导致最佳停止问题

A new method for computing asymptotic results in optimal stopping problems

论文作者

Bayón, L., Fortuny, P., Grau, J. M., Oller-Marcén, A. M., Ruiz, M. M.

论文摘要

在本文中,我们提出了一种用于计算最佳阈值的渐近值的新方法,以及最佳停止问题序列成功的可能性。该方法基于一阶线性微分方程的分辨率,可以在许多情况下系统地获得这些值。例如,我们讨论了著名秘书问题的九种变体,其中包括有关该主题的文献中出现的经典问题,以及其他四个未出版的内容。

In this paper, we present a novel method for computing the asymptotic values of both the optimal threshold, and the probability of success in sequences of optimal stopping problems. This method, based on the resolution of a first-order linear differential equation, makes it possible to systematically obtain these values in many situations. As an example, we address nine variants of the well-known secretary problem, including the classical one, that appear in the literature on the subject, as well as four other unpublished ones.

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