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来源类型 | FEEM working papers "Note di lavoro" series |
规范类型 | 论文 |
Appraising Diversity with an Ordinal Notion of Similarity: An Axiomatic Approach | |
Nicolas Gravel; Sebastian Bervoets | |
发表日期 | 2004 |
出处 | Climate Change and Sustainable Development |
出版年 | 2004 |
语种 | 英语 |
摘要 | This paper provides an axiomatic characterization of two rules for comparing alternative sets of objects on the basis of the diversity that they offer. The framework considered assumes a finite universe of objects and an a priori given ordinal quadernary relation that compares alternative pairs of objects on the basis of their ordinal dissimilarity. Very few properties of this quadernary relation are assumed (beside completeness, transitivity and a very natural form of symmetry). The two rules that we characterize are the maxi-max criterion and the lexi-max criterion. The maxi-max criterion considers that a set is more diverse than another if and only if the two objects that are the most dissimilar in the former are weakly as dissimilar as the two most dissimilar objects in the later. The lexi-max criterion is defined as usual as the lexicographic extension of the maxi-max criterion. Some connections with the broader issue of measuring freedom of choice are also provided. |
特色分类 | D63,D69,Q20 |
关键词 | Diversity,Measurement,Axioms,Freedom of choice |
URL | https://www.feem.it/en/publications/feem-working-papers-note-di-lavoro-series/appraising-diversity-with-an-ordinal-notion-of-similarity-an-axiomatic-approach/ |
来源智库 | Fondazione Eni Enrico Mattei (Italy) |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/116997 |
推荐引用方式 GB/T 7714 | Nicolas Gravel,Sebastian Bervoets. Appraising Diversity with an Ordinal Notion of Similarity: An Axiomatic Approach. 2004. |
条目包含的文件 | ||||||
文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
NDL2004-045.pdf(645KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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