The geometry of Black's single peakedness and related conditions

Donald Saari and Fabrice Valognes ()
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Donald Saari: Institute for Mathematical Behavioral Science - UC Irvine - University of California [Irvine] - UC - University of California
Fabrice Valognes: CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique

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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.

Keywords: Black's single peakedness condition; Geometry; Election behavior (search for similar items in EconPapers)
Date: 1999-12
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Citations: View citations in EconPapers (2)

Published in Journal of Mathematical Economics, 1999, 32 (4), pp.429-456. ⟨10.1016/S0304-4068(98)00062-7⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-02173163

DOI: 10.1016/S0304-4068(98)00062-7

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