Tactical Manipulation of Runoff Voting - Sample Election

Sample Election

For illustrative purposes, the following is a sample election that does not involve any tactical manipulation. Imagine an election to choose which food to eat for dessert. There are 100 people having dessert and three candidates: Ice Cream, Apple Pie and Fruit. Runoff voting is used to find the winner.

Round 1: In the first round of voting each diner votes for the one candidate they most prefer. The results are as follows:

  • Ice Cream: 43 votes
  • Apple Pie: 16 votes
  • Fruit: 41 votes

Round 2: No candidate has an absolute majority of votes (in this election that would be 51) so the two candidates with the most votes, Ice Cream and Fruit, proceed to a second round, while Apple Pie is eliminated. Because their favourite candidate has been eliminated Apple Pie supporters must now vote for one of the two remaining candidates. The Apple Pie supporters split into two even groups: 8 vote for Ice Cream and 8 for Fruit. Of those who supported Ice Cream and Fruit in the first round, no one decides to change their vote. The results of the second round are, therefore, as follows:

  • Icecream: 51
  • Fruit: 49

Result: Ice Cream now has an absolute majority so is declared the winner.

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