For any linear transformation and two convex closed sets, we provide necessary and sufficient conditions for when the transformation of the intersection of the sets coincides with the intersection of their images. We also identify analogous conditions for non-convex sets, general...

We critically discuss the Jefferson/D'Hondt and Webster/Sainte-Laguë methods, which are used to allocate parliament seats to parties in the mixed-member proportional representation systems in Germany, New Zealand, Bolivia, South Africa, South Korea, Scotland and Wales, as well as in the...

We provide a respecification of an integer program characterization of Arrovian social welfare functions introduced by Sethuranam et al.(2003). By exploiting this respecification, we give a new and simpler proof of Theorem 2 in Kalai and Muller (1977).