S. Barbera et al., Maximal domains of preferences preserving strategy-proofness for generalized median voter schemes, SOC CHOICE, 16(2), 1999, pp. 321-336
We characterize the maximal sets of preferences under which generalized med
ian voter schemes are strategy-proof. Those domains are defined by a qualif
ied version of single-peakedness, which depends on the distribution of powe
r among agents implied by each generalized median voter scheme.