专家分类汇总

arXiv - ECON - Theoretical Economics Pub Date : 2024-09-17 DOI:arxiv-2409.11033

Federico Fioravanti

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引用次数: 0

摘要

我们考虑的问题是，一组个体必须通过汇总个体的分类，将 $m$ 物体归入 $p$ 类别，且任何类别都不能为空。如果个体对给定对象的分类或给定类别的分类具有决定性作用，那么聚合器就满足了 \emph{专长}。我们证明，要求聚合器满足\emph{Expertise}并且是一致的或独立的，会导致许多不可能性结果。

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Expert Classification Aggregation

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.

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arXiv - ECON - Theoretical Economics

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