Positional/Rank Voting

  • voting systems that uses voters’ ranking by order of preference to determine single or multiple winners from candidates/options
  • Ranked Choice Voting (RCV) systems where candidates receive points based on their rank/position in each ballot, highest points wins
    • e.g. 3 points for 1st choice/position, 2 points for 2nd, 1 for 3rd
  • varying weights/points assigned to each position by different positional voting systems, which can heavily affect the final rank ordering of candidates

Instant-runoff voting

  • ranked-vote voting method that recursively eliminates the plurality loser until one candidate has majority of remaining votes

Borda count

  • classic positional voting system
  • N candidates
  • 1st position candidate each on ballet gets N points, 2nd gets N-1, …, Nth position gets 1 point
  • any uniform difference in points has same result

Top-heavy

  • systems for assigning points with more focus on how many voters consider a candidate a “favourite” (highly ranked)

Plurality voting

  • plurality — choose one
  • first-preference plurality (first-past-the-post) systems only let voters select one candidate and most votes wins, even without a majority
  • the 1st choice receives 1 point and all other candidates receive 0
  • the most top-heavy positional voting system

Geometric

  • points follow a mathematical sequence or geometric progression
    • e.g. 1st choice gets 1 point, 2nd gets 1/2 points, 3rd gets 1/4, 1/8, 1/16, etc.

Eurovision Song Contest

  • uses system where 1st choice gets 12 points, 2nd 10 points, 8, 7, 6, 5, 4, 3, 2, 1, remaining get 0

Cardinal voting

  • voting systems that allow voters to define their strength of support for a candidate
  • each candidate gets a separate score

Score/Range voting

  • voters give each candidate a numeric score, highest average score wins
    • e.g. score each candidate from 0 (worst) to 9 (best)

Approval voting

  • simplest scoring method where votes approve (+1) any number of candidates, most votes wins
    • Latvia uses modified version where voters can give positive (+1), negative (-1), or 0 to any number of candidates

STAR

  • Score Then Automatic Runoff
  • hybrid of score and ranked voting
    • voters score each candidate from 0 (worst) to 5 (best)
    • 2 highest total candidates become finalists
    • finalist with higher preference across all voters wins

Condorcet/Round-robin voting

  • every pair of candidates is 1-on-1 compared by total number of voters that prefer each candidate in a “beats” matrix
    • lit. record which candidates beat each other candidate in 1-on-1
  • majority-preferred (Condorcet) candidate is elected, if one exists
    • Condorcet winner - candidate that beats all other candidates in a 1-on-1
  • if no Condorcet winner, candidate closest to being Condorcet wins, based on record in beats matrix
    • different methods exist to define “closest”

Single-Winner Voting Method Scorecard
equal.vote/ranked_robin