By Dan S. Felsenthal, Moshé Machover
Either theoretical and empirical features of unmarried- and multi-winner balloting methods are awarded during this choice of papers. ranging from a dialogue of the underlying rules of democratic illustration, the quantity encompasses a description of a very good number of vote casting approaches. It lists and illustrates their susceptibility to the most balloting paradoxes, assesses (under a number of types of voters' personal tastes) the chance of paradoxical results, and discusses the relevance of the theoretical effects to the alternative of balloting procedure.
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Extra resources for Electoral Systems: Paradoxes, Assumptions, and Procedures (Studies in Choice and Welfare)
54). Suppose there are six voters whose preference orderings among three candidates, a; b, and c, are as follows: No. of voters 2 2 1 1 Preference ordering a b c b c a c a b c b a Suppose further that the order in which the divisions are conducted is as follows: a vs. b in round 1 Winner of round 1 vs. , in favor of the candidate who is denoted by the letter that is closer to the beginning of the alphabet. Accordingly, there is a tie between a and b in the first round which is broken in favor of a, and in the second round c beats a and becomes the ultimate winner.
Since the weakest extension of the majority rule principle when there are more than two candidates is the Condorcet winner principle, I think that the electoral system which ought to be used for electing one out of m 2 candidates should be Condorcet-consistent. But as one does not know before an election is conducted whether a Condorcet winner will exist or whether the social preference ordering will contain a top cycle, which of the nine Condorcet-consistent procedures surveyed and exemplified in this paper should be preferred in case a top cycle exists?
3 Coombs’ Method (Coombs 1964, pp. 397–399; Straffin 1980; Coombs et al. 1984) This procedure was proposed by the psychologist Clyde H. Coombs in 1964. It is similar to Alternative Vote except that the elimination in a given round under Coombs’ method involves the candidate who is ranked last by the largest number of voters (instead of the candidate who is ranked first by the smallest number of voters under alternative vote). 4 Bucklin’s Method (Hoag and Hallett 1926, pp. 485–491; Tideman 2006, p.