Econ Papers Daily / 期刊论文
词典式社会排序
Lexicographic social ranking
摘要
In this paper we focus on the analysis of ranking methods based on a lexicographic comparison of individual evaluations. Notable examples of ranking methods in this family are the majority judgement , the lexicographic excellence and its dual version. Making a bridge with the theory of lexicographic preferences on elements with multiple factors, we provide an axiomatic characterization of the family of lexicographic methods using three well-studied properties in social choice: Anonymity , Neutrality and Independence of Irrelevant Alternatives . These assumptions allow restricting the study to the set of individual evaluations rearranged in a non increasing way. Two further assumptions of Ordinal Invariance and Dominance (restricted to this domain) allow for the requested characterization. Some operational indications on how to establish the order used by the lexicographic procedure is also discussed.
中文摘要
本文聚焦于基于个体评价词典序比较的排序方法分析。该排序方法家族中的典型代表包括多数判断法、词典序卓越法及其对偶版本。通过建立与多因素要素词典序偏好理论的关联，我们运用社会选择理论中三个经过充分研究的性质——匿名性、中立性与无关选项独立性——对词典序方法家族进行了公理化刻画。这些假设将研究范围限定在按非递增方式重新排列的个体评价集合。在此基础上，两个附加假设（序数不变性与支配性，且限定于该领域）实现了所需的公理化表征。此外，本文还探讨了如何建立词典序程序所用排序顺序的操作性建议。