THE PLURALITY MAJORITY CONVERSE UNDER SINGLE-PEAKEDNESS

The plurality majority converse (PMC), the strongest possible instance of a plurality majority disagreement, is studied in the context of si ngle peakedness. After sharpening some of the notions of unfolding the ory we construct PMCs for the case where all voters' preference orders are single peaked on a common ordering of the political parties conte sting in an election. A PMC then appears to result from a particular d istribution of the voters' preference orders in which the political ce nter has been dissolved towards the extremes. The possibility of a PMC in some of the elections in Weimar Germany is examined. Elections tha t avoid plurality majority disagreements by having voters choose one o f a constrained set of preference orders over the contesting parties a re discussed.