On update monotone, continuous, and consistent collective evaluation rules

Article Type

Research Article

Publication Title

Social Choice and Welfare

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.

First Page

759

Last Page

776

DOI

10.1007/s00355-020-01263-1

Publication Date

12-1-2020

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