Aggregation of ranked categories

IF 0.5 4区经济学 Q4 ECONOMICS

Mathematical Social Sciences Pub Date : 2024-03-15 DOI:10.1016/j.mathsocsci.2024.03.002

John Craven

引用次数: 0

Abstract

We consider the aggregation of classifications of objects that are graded in a single dimension into categories that are ranked. Grading is a sufficient domain restriction to avoid dictatorship. In contrast to other results, it is possible to use a majority-based aggregator when objects can be located in any number of categories. The aggregator locates an object below a boundary between specified categories just if a majority do so. In contrast, preponderance aggregators that are directly based on locations of objects can locate a higher graded object in a lower ranked category. Any aggregator that satisfies other independence conditions relating to the locations of objects or positions of boundaries must be dictatorial.

查看原文本刊更多论文

分类汇总

我们考虑的是将在单一维度上分级的对象分类汇总为分等级的类别。分级是避免独裁的充分领域限制。与其他结果不同的是，当对象可以归入任意数量的类别时，我们可以使用基于多数的聚合器。聚合器只在大多数人都这样做的情况下，才会将对象置于指定类别之间的边界之下。相比之下，直接基于对象位置的优势聚合器可以将等级较高的对象定位在等级较低的类别中。任何满足与对象位置或边界位置相关的其他独立性条件的聚合器都必须是独裁的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematical Social Sciences 数学-数学跨学科应用

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

59 days

期刊介绍： The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences. Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models. Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.