We study a multi-dimensional collective decision under incomplete information. Agents have Euclidean preferences and vote by simple majority on each issue (dimension), yielding the coordinate-wise median. Judicious rotations of the orthogonal axes -- the issues that are voted upon -- lead to...

We compare sequential, binary voting schemes conducted by privately informed agents with interdependent preferences and three alternatives a compromise alternative in addition to two "extreme" alternatives on the left and on the right. The Anglo-Saxon amendment procedure always selects the...