Relationships between Borda voting and Zermelo ranking |
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| Authors: | Lowell Bruce Anderson Helena Dandurova James E Falk Lana Yeganova |
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| Institution: | (1) Institute for Defense Analyses, 4850 Mark Center Drive, Alexandria, VA 22311, USA;(2) Science Applications International Corporation, Washington, DC 20024, USA;(3) School of Engineering and Applied Science, The George Washington University, Washington, DC 20052, USA;(4) National Center for Biotechnology Information, National Institutes of Health, Bethesda, MD 20894, USA |
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| Abstract: | There are many situations wherein a group of individuals (e.g., voters, experts, sports writers) must produce an ordered list
of ‘best’ alternatives selected from a given group of alternatives (e.g., candidates, proposals, sports teams). Two long established
mechanisms that have been used for this task are ‘Zermelo’s Ranking Method’ (1929) and ‘Borda’s Voting Scheme’ (1781). The
main purpose of this paper is to point out that they are, under certain common circumstances, identical. We then show that
Zermelo’s Method can be used in situations that Borda’s Method is not designed to handle. |
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