A Comparison of Some Distance-Based Choice Rules in Ranking Environments

Hannu Nurmi

Theory and Decision, 2004, vol. 57, issue 1, 5-24

Abstract: We discuss the relationships between positional rules (such as plurality and approval voting as well as the Borda count), Dodgson’s, Kemeny’s and Litvak’s methods of reaching consensus. The discrepancies between methods are seen as results of different intuitive conceptions of consensus goal states and ways of measuring distances therefrom. Saari’s geometric methodology is resorted to in the analysis of the consensus reaching methods. Copyright Kluwer Academic Publishers 2004

Keywords: Borda count; Dodgson’s method; Geometry of voting; Kemeny’s rule; Litvak’s median; Positional procedures; Social choice (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/s11238-004-3671-9

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