3.24 The plurality method (first-past-the-post (FPTP)) violates the Condorcet criterion

No. of voters 49 48 3
1 R H F
2 H S H
3 F O S
4 O F O
5 S R R
  • Under the plurality method the winner of the election is “R”, with 49 first-place votes.
  • This is a rather bad outcome, as there are 51 voters that have “R” as their last choice.
  • By contrast, “H” has 48 first-place votes and 52 second place votes - a very good result.
  • If we compare “H” with any other candidate on a head-to-head basis, “H” is always the preferred choice.
  • For example, there are 51 votes for “H” (48 from the second column plus the 3 votes in the last column) versus 49 votes for “R”.