The geometry of Black's single peakedness and related conditions

Authors:
  • DSDonald Saari
    Donald Saari
  • FVFabrice Valognes
    Fabrice Valognes

Abstract
By using geometry to analyze all three candidate profiles satisfying Black's single peakedness constraint, we characterize all associated election behavior. The same analysis is applied to related profile constraints where some candidate never is top-ranked, or never bottom ranked.
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