This method is a preferential voting
method and is a variation of the Plurality Method. Plurality with Elimination is carried out in rounds. After each round of voting the candidate (or alternative) with the fewest first place votes is eliminated and a new round of voting is done with the remaining candidates. When only two candidates remain in a round, the candidate with the most votes wins the election. For an N candidate election, the Method of Plurality with Elimination requires N-1 rounds. |
The mayor of Smallville is being
chosen in a Plurality with Elimination election. The four
candidates are Paul (the town barber), Rita (head of the
town council), Sarah (Superintendent of Education), and
Tim (former District Attorney). How many rounds will it take to determine a winner? answer 500 registered voters cast their preference ballots. The results are summarized in the preference schedule below. |
# of |
Voters |
|||
Place |
130 | 120 | 100 | 150 |
1st | P | T | T | S |
2nd | R | R | R | R |
3rd | S | S | P | P |
4th | T | P | S | T |
Using the Method of Plurality with Elimination, which candidate is eliminated in the first round? answer Since Round 1 eliminated a candidate, Round 2 begins with the 3 remaining candidates. IMPORTANT POINT!! Write out the preference schedule for Round 2 (the round with the 3 candidates left after Round 1). answer Which candidate is eliminated in the second round? answer Write out the preference schedule for Round 3 (the round with the 2 candidates left after Round 2). answer Which candidate is eliminated in the third (and final) round? answer Who wins the election using the Method of Plurality with Elimination? answer |
The Method of Plurality with Elimination uses only the first place votes in each round. However, since lower order preferences (2nd, 3rd, etc.) can make it onto the first place row in later rounds, the Plurality with Elimination Method uses much more of the information contained in the preference schedule compared to the Plurality Method. When using the Plurality Method, all of the information in the preference schedule not related to first place is ignored. This is a powerful theoretical argument in favor of the Method of Plurality with Elimination over the Plurality Method. |
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