On update monotone, continuous, and consistent collective evaluation rules
Social Choice and Welfare
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.
Falcó, Edurne; Karmokar, Madhuparna; Roy, Souvik; and Storcken, Ton, "On update monotone, continuous, and consistent collective evaluation rules" (2020). Journal Articles. 54.