{"title":"Expert Classification Aggregation","authors":"Federico Fioravanti","doi":"arxiv-2409.11033","DOIUrl":null,"url":null,"abstract":"We consider the problem where a set of individuals has to classify $m$\nobjects into $p$ categories by aggregating the individual classifications, and\nno category can be left empty. An aggregator satisfies \\emph{Expertise} if\nindividuals are decisive either over the classification of a given object, or\nthe classification into a given category. We show that requiring an aggregator\nto satisfy \\emph{Expertise} and be either unanimous or independent leads to\nnumerous impossibility results.","PeriodicalId":501188,"journal":{"name":"arXiv - ECON - Theoretical Economics","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - ECON - Theoretical Economics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the problem where a set of individuals has to classify $m$
objects into $p$ categories by aggregating the individual classifications, and
no category can be left empty. An aggregator satisfies \emph{Expertise} if
individuals are decisive either over the classification of a given object, or
the classification into a given category. We show that requiring an aggregator
to satisfy \emph{Expertise} and be either unanimous or independent leads to
numerous impossibility results.