Aggregation of ranked categories

John Craven

Mathematical Social Sciences, 2024, vol. 129, issue C, 27-33

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.

Keywords: Social choice; Graded objects; Majority decisions (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:129:y:2024:i:c:p:27-33

DOI: 10.1016/j.mathsocsci.2024.03.002

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