Resumen de A complete parametrical class of redistribution and progressivity measures

Rafael Salas del Mármol, Isabel Rabadán Mosseray

• We propose a complete parametrical class of redistribution measures that satisfy desirable properties: S-convexity, monotonicity on the normative parameter, and equivalence with the Lorenz dominance criterion. The last property is not satisfied by the common redistribution indices. Moreover, we prove that, under these conditions, redistribution cannot be decomposed into the difference between two S-convex inequality indices. A particular parameterization class is proposed, in which we can always find a critical parameter value such that the index adopts a zero value if there is one (several) intersection(s) between the Lorenz curves. A parallel progressivity class is proposed, with the usual decomposition property.