We characterize the class of dominant-strategy incentive-compatible (or strategy-proof) random social choice functions in the standard multi-dimensional voting model where voter preferences over the various dimensions (or components) are lexicographically separable. We show that these social...

We consider implementation of a deterministic allocation rule using transfers in quasi-linear private values environments. We show that in multidimensional single peaked type spaces, an allocation rule is implementable if and only if it satisfies a familiar and simple condition called 2-cycle...