Abstract In school choice problems, a list of restrictions have been imposed on priorities to achieve desirable properties of rules. However, it is difficult to verify these “acyclicity” conditions and identify the structure of the restricted priority profiles. To improve visibility and verifiability, we provide characterizations of these conditions. We also present the logical relations among the conditions by using our characterizations.

中文翻译：

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学校选择中的非循环优先级概况：特征

摘要 在学校选择问题中，为了实现理想的规则属性，对优先级施加了一系列限制。然而，很难验证这些“非循环性”条件并识别受限优先级配置文件的结构。为了提高可见性和可验证性，我们提供了这些条件的特征。我们还通过使用我们的特征来呈现条件之间的逻辑关系。