The plurality majority converse under single peakedness

Thom Bezembinder
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Thom Bezembinder: Nijmegen institute of cognition and information, University of Nijmegen, P.O. Box 9104, 6500 He Nijmegen, The Netherlands

Social Choice and Welfare, 1996, vol. 13, issue 3, 365-380

Abstract: The plurality majority converse (PMC), the strongest possible instance of a plurality majority disagreement, is studied in the context of single peakedness. After sharpening some of the notions of unfolding theory we construct PMCs for the case where all voters' preference orders are single peaked on a common ordering of the political parties contesting in an election. A PMC then appears to result from a particular distribution of the voters' preference orders in which the political center has been dissolved towards the extremes. The possibility of a PMC in some of the elections in Weimar Germany is examined. Elections that avoid plurality majority disagreements by having voters choose one of a constrained set of preference orders over the contesting parties are discussed.

Date: 1996
Note: Received: 8 August 1994/Accepted: 23 May 1995
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