Best Cycle-Breaking Rule — a society votes on how to break a cycle, and cycles

Thursday, July 30, 2026

The results of a ranked-choice voting election. | Download Raw Summary Data

Legend
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Candidates eliminated and elected in each round
Round Eliminated Winners
Round 1
Round 2 Copeland's Rule
Flip a Coin
Round 3 Minimax Ranked Pairs

Round 1

Round 1: what changed for each candidate, and their total votes
Candidate What changed Current total votes
Ranked Pairs 315 votes in the first round 31.53%
315 votes
Schulze Method 313 votes in the first round 31.33%
313 votes
Minimax 258 votes in the first round 25.83%
258 votes
Copeland's Rule 61 votes in the first round 6.11%
61 votes
Flip a Coin 52 votes in the first round 5.21%
52 votes
Inactive Ballots All ballots are active in the first round

Round 2

Round 2: what changed for each candidate, and their total votes
Candidate What changed Current total votes
Ranked Pairs Gained 9 votes 35.72%
324 votes
Schulze Method Gained 8 votes 35.39%
321 votes
Minimax Gained 4 votes 28.89%
262 votes
Copeland's Rule Eliminated: 61 votes redistributed to remaining candidates or became inactive
Flip a Coin Eliminated: 52 votes redistributed to remaining candidates or became inactive
Inactive Ballots 92 ballots became inactive

Round 3

Round 3: what changed for each candidate, and their total votes
Candidate What changed Current total votes
Ranked Pairs Elected: Gained 168 votes 55.53%
492 votes
Schulze Method Gained 73 votes 44.47%
394 votes
Minimax Eliminated: 262 votes redistributed to remaining candidates or became inactive
Inactive Ballots 21 ballots became inactive

Pie chart of each candidate's share of the votes in the selected round. Use the round controls above to change rounds; the round is described as it changes. The same numbers are available in the table views.

Ranked Pairs

Ranked Pairs: what changed and total votes in each round
Round What changed Current total votes
Round 1 315.0 first-round votes. 31.53%
315 votes
Round 2 Gained 4 votes from Flip a Coin. and 5 votes from Copeland's Rule. 35.72%
324 votes
Round 3 Elected. Gained 168 votes from Minimax. 55.53%
492 votes

Schulze Method

Schulze Method: what changed and total votes in each round
Round What changed Current total votes
Round 1 313.0 first-round votes. 31.33%
313 votes
Round 2 Gained 2 votes from Flip a Coin. and 6 votes from Copeland's Rule. 35.39%
321 votes
Round 3 Gained 73 votes from Minimax. 44.47%
394 votes

Minimax

Minimax: what changed and total votes in each round
Round What changed Current total votes
Round 1 258.0 first-round votes. 25.83%
258 votes
Round 2 Gained 2 votes from Flip a Coin. and 2 votes from Copeland's Rule. Eliminated. 28.89%
262 votes

Copeland's Rule

Copeland's Rule: what changed and total votes in each round
Round What changed Current total votes
Round 1 61.0 first-round votes. Eliminated. 6.11%
61 votes

Flip a Coin

Flip a Coin: what changed and total votes in each round
Round What changed Current total votes
Round 1 52.0 first-round votes. Eliminated. 5.21%
52 votes

Inactive Ballots

Inactive Ballots: what changed and total votes in each round
Round What changed Current total votes
Round 1 0 first-round votes. 0
ballots
Round 2 Gained 44 votes from Flip a Coin. and 48 votes from Copeland's Rule. 92
ballots
Round 3 Gained 21 votes from Minimax. 113
ballots
Each candidate's votes in each round. Cells are shaded green once a candidate is elected and red once they are eliminated.
Candidate name Round 1 Round 2 Round 3
Ranked Pairs 31.53% 315 votes 35.72% 324 votes 55.53% 492 votes Elected
Schulze Method 31.33% 313 votes 35.39% 321 votes 44.47% 394 votes
Minimax 25.83% 258 votes 28.89% 262 votes Eliminated
Copeland's Rule 6.11% 61 votes Eliminated Previously eliminated
Flip a Coin 5.21% 52 votes Eliminated Previously eliminated
Inactive Ballots 0 ballots 92 ballots 113 ballots


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