On update monotone, continuous, and consistent collective evaluation rules

Edurne Falco; Madhuparna Karmokar; Souvik Roy; Ton Storcken

doi:10.1007/s00355-020-01263-1

On update monotone, continuous, and consistent collective evaluation rules

Edurne Falco, Madhuparna Karmokar, Souvik Roy^*, Ton Storcken

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider collective evaluation problems, where individual grades given to candidates are combined to obtain a collective grade for each of these candidates. In this paper, we prove the following two results: (1) a collective evaluation rule is update monotone and continuous if and only if it is a min-max rule, and (2) a collective evaluation rule is update monotone and consistent if and only if it is an extreme min-max rule.

Original language	English
Pages (from-to)	759-776
Number of pages	18
Journal	Social Choice and Welfare
Volume	55
Issue number	4
Early online date	20 May 2020
DOIs	https://doi.org/10.1007/s00355-020-01263-1
Publication status	Published - Dec 2020

Keywords

AGGREGATION

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10.1007/s00355-020-01263-1

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AB - We consider collective evaluation problems, where individual grades given to candidates are combined to obtain a collective grade for each of these candidates. In this paper, we prove the following two results: (1) a collective evaluation rule is update monotone and continuous if and only if it is a min-max rule, and (2) a collective evaluation rule is update monotone and consistent if and only if it is an extreme min-max rule.

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On update monotone, continuous, and consistent collective evaluation rules

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Keywords

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