This paper characterizes lexicographic preferences over alternatives that are identified by a finite number of attributes. Our characterization is based on two key concepts: a weaker notion of continuity called “mild continuity” (strict preference order between any two alternatives that are different with respect to every attribute is preserved around their small neighborhoods) and an “unhappy set” (any alternative outside such a set is preferred to all alternatives inside). Three key aspects of our characterization are as follows: (i) we use continuity arguments; (ii) we use the stepwise approach of looking at two attributes at a time; and (iii) in contrast with the previous literature, we do not impose noncompensation on the preference and consider an alternative weaker condition.

中文翻译：

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词典偏好​​的表征

本文描述了对由有限数量的属性标识的替代方案的字典偏好。我们的表征基于两个关键概念：一个较弱的连续性概念，称为“温和连续性”（在每个属性不同的任何两个备选方案之间的严格偏好顺序保留在它们的小邻域周围）和一个“不快乐集”（任何这种集合之外的替代方案优于内部的所有替代方案）。我们表征的三个关键方面如下：（i）我们使用连续性论证；(ii) 我们使用一次查看两个属性的逐步方法；(iii) 与以前的文献相比，我们没有对偏好施加不补偿，而是考虑了一种替代的较弱条件。