Download Electoral Systems: Paradoxes, Assumptions, and Procedures by Dan S. Felsenthal, Moshé Machover PDF

By Dan S. Felsenthal, Moshé Machover

Either theoretical and empirical features of unmarried- and multi-winner vote casting tactics are awarded during this number of papers. ranging from a dialogue of the underlying rules of democratic illustration, the amount features a description of a superb number of balloting methods. It lists and illustrates their susceptibility to the most vote casting paradoxes, assesses (under a variety of versions of voters' personal tastes) the likelihood of paradoxical results, and discusses the relevance of the theoretical effects to the alternative of vote casting process.

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Additional info for Electoral Systems: Paradoxes, Assumptions, and Procedures (Studies in Choice and Welfare)

Sample text

A candidate x may not be elected despite the fact that it is the only candidate ranked first by an absolute majority of the voters. 2 Fishburn (1974, p. 544) constructs an example with 101 voters and nine candidates two of whom are candidates a and w, such that w beats each of the other eight candidates by a (slim) majority of 51 to 50 (and hence is a Condorcet winner), whereas a beats each of the other seven candidates by a considerably larger majority. ” We disagree with this statement and hold that a Condorcet winner, if one exists, ought always to be elected.

If no such candidate exists then, in the second step, the candidate who is ranked first by the smallest number of voters is deleted from all ballots and thereafter one again verifies whether there is now a candidate who is ranked first by an absolute majority of the voters. The elimination process continues in this way until a candidate who is ranked first by an absolute majority of the voters is found. The Alternative Vote procedure is used in electing the president of the Republic of Ireland, the Australian House of Representatives, as well as the mayors in some municipal elections in the US.

222–234; McLean and Urken, 1995, pp. 288–297) This procedure is named after the Rev. Charles Lutwidge Dodgson, aka Lewis Carroll, who proposed it in 1876. It elects the Condorcet winner when one exists. e. inversions of two adjacent candidates) in the voters’ preference orderings in order to make him the Condorcet winner. 3 Nanson’s Method (Nanson 1883; McLean and Urken, 1995, ch. 14) Nanson’s method is a recursive elimination of Borda’s method. In the first step one calculates for each candidate his Borda score.

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