The Mathematics of Voting - Edubirdie

University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

308

Pages:

2
Author:

Sprewap4dn

The Mathematics of Voting The Mathematics of Voting – PluralityPlurality-withwith-Elimination Method Round 1. Count the first-place votes for each candidate, just as you would in the plurality method. If a candidate has a majority of firstplace votes, that candidate is the winner. Otherwise, eliminate the candidate (or candidates if there is a tie) with the fewest firstplace votes. 1.4 The Pluralitywith-elimination Method 24 23 The Mathematics of Voting The Mathematics of Voting – PluralityPlurality-withwith-Elimination Method Round 2. Cross out the name(s) of the candidates eliminated from the preference and recount the first-place votes. (Remember that when a candidate is eliminated from the preference schedule, in each column the candidates below it move up a spot.) 25 26 The Mathematics of Voting – The Mathematics of Voting PluralityPlurality-withwith-Elimination Method Round 2 (continued). If a candidate has a majority of first-place votes, declare that candidate the winner. Otherwise, eliminate the candidate with the fewest first-place votes. 27 28 1 The Mathematics of Voting – The Mathematics of Voting PluralityPlurality-withwith-Elimination Method Round 3, 4, etc. Repeat the process, each time eliminating one or more candidates until there is a candidate with a majority of firstplace votes. That candidate is the winner of the election. 29 30 The Mathematics of Voting So what is wrong with the pluralityplurality-withwithelimination method? The Monotonicity Criterion If candidate X is a winner of an election and, in a reelection, the only changes in the ballots are changes that favor X (and only X), then X should remain a winner of the election. 31 2

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