Arlegi Pérez, RicardoBallester Oyarzun, Miguel ÁngelNieto Vázquez, Jorge2016-05-102016-05-102000https://academica-e.unavarra.es/handle/2454/20566This paper explores the introduction of a variable critical-level in a variable population context. We focus the attention on the “Critical-Level Egalitarian Rule”, a social evaluation procedure which compares two social states as follows: (i) It reproduces the leximin criterion when applied to vectors of identical dimension and (ii) otherwise, it completes the small one with so many times a variable critical-level as to make the two vectors equal in size and applies the leximin criterion again. We prove that the use of a strict monotonic critical-level leads to the intransitivity of the social evaluation rule. This problem disappears when a weak monotonicity condition is required.13 p.application/pdfengCC Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)Variable populationLeximinCritical-levelinfo:eu-repo/semantics/workingPaperinfo:eu-repo/semantics/openAccess