关于囚徒问题的无限版本

arXiv - MATH - General Mathematics Pub Date : 2024-09-04 DOI:arxiv-2409.09064

Attila Losonczi

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引用次数: 0

摘要

我们研究了著名的 "100 个囚犯问题 "在无限情形下的一些版本，即存在无限多个囚犯和无限多个带标签的盒子。在这种情况下，可以提出许多关于囚犯的可允许步骤、他们必须遵守的约束条件以及释放条件的问题。我们将介绍并分析许多案例。在无限的情况下，解法和方法主要需要分析，而不是组合学。

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On infinite versions of the prisoner problem

We investigate some versions of the famous 100 prisoner problem for the infinite case, where there are infinitely many prisoners and infinitely many boxes with labels. In this case, many questions can be asked about the admissible steps of the prisoners, the constraints they have to follow and also about the releasing conditions. We will present and analyze many cases. In the infinite case, the solutions and methods require mainly analysis rather than combinatorics.

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arXiv - MATH - General Mathematics

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