Choice
A
B
C
D
Compare voting systems
Add choices, build ballots, randomize them, and compare how Ranked Robin, Schulze, Ranked Pairs, Copeland+Minimax, Copeland-Ranked Robin, STAR, Score, and IRV can produce different outcomes.
Setup
Which choices are on the ballots. Unranked choices are treated as tied at the bottom for pairwise comparisons.
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Ballots
The relative preference for choices by voters. Most voting methods allow ranking multiple choices equally. Click a selected number again to clear it (lowest preference).
Pairwise
Positive values mean the row choice beats the column choice by that many ballots.
| A | B | C | D | |
|---|---|---|---|---|
| A | - | +20 105-85 / 20 tied | -25 80-105 / 25 tied | -15 90-105 / 15 tied |
| B | -20 85-105 / 20 tied | - | +30 105-75 / 30 tied | +5 105-100 / 5 tied |
| C | +25 105-80 / 25 tied | -30 75-105 / 30 tied | - | +10 105-95 / 10 tied |
| D | +15 105-90 / 15 tied | -5 100-105 / 5 tied | -10 95-105 / 10 tied | - |
Results
Copeland-Ranked Robin uses Copeland scores first, so pairwise ties count as 0.5. If candidates tie on Copeland score, the tie breaks using Ranked Robin's sequence: net margin vs finalists, net margin vs all, fewest votes against, and finally beatpath strength.