2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109077The paper surveys more than forty characterizations of scoring methods for preference aggregation and contains one new result. A general scoring operator is {\it self-consistent} if alternative $i$ is assigned a greater score than $j$ whenever $i$ gets no worse (better) results of comparisons and its `opponents' are assigned respectively greater (no smaller) scores than those of $j$. We prove that self-consistency is satisfied if and only if the application of a scoring operator reduces to the solution of a homogeneous system of algebraic equations with a monotone function on the left-hand side.33 pages; with tables and figuresOptimization and ControlMultiagent SystemsFunctional Analysis91B08; 91B10; 91B12; 91B16text