Discussion Papers, Department of Finance and Management Science, Norwegian School of Economics (NHH)
No 2008/10:
Voces Populi and the Art of Listening
Eivind Stensholt ()
Abstract: The strategy most damaging to many preferential election
methods is to give insincerely low rank to the main opponent of one’s
favorite candidate. Theorem 1 determines the 3-candidate Condorcet method
that minimizes the number of noncyclic profiles allowing this strategy.
Theorems 2, 3, and 4 establish conditions for an anonymous and neutral
3-candidate single-seat election to be monotonic and still avoid this
strategy completely. Plurality elections combine these properties; among
the others "conditional IRV" gives the strongest challenge to the plurality
winner. Conditional IRV is extended to any number of candidates. Theorem 5
is an impossibility of Gibbard-Satterthwaite type, describing 3 specific
strategies that cannot all be avoided in meaningful anonymous and neutral
elections.
Keywords: Preferential Election methods; Plurality Election methods; (follow links to similar papers)
JEL-Codes: D72; (follow links to similar papers)
40 pages, June 12, 2008
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