Continuous and Paretian social welfare functions are constructed for which one agent is a homotopic dictator and yet another is, in a precise sense, almost all powerful. Thus, the well known homotopic dictatorship theorem of Chichilnisky cannot be regarded as a genuine Arrow-type impossibility...

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).