Extending on an impossibility result by Baigent [1], it is shown that an anonymous social choice procedure which preserves preference proximity cannot satisfy the weakest possible form of non-imposition.

In this paper we provide a binary extension of Dodgson’s non-binary preference aggregation rule. This new aggregation rule is then compared to two other rules which, as Dodgson’s rule, are also explicitly based on distance functions, namely Kemeny’s and Slater’s rule. It is shown that...