Choice
A
B
C
D
Compare voting systems
Add choices, build ballots, randomize them, and compare how Ranked Robin, Schulze, Copeland, score, and IRV can produce different outcomes.
Setup
New choices start unranked on existing ballots. Unranked choices are treated as tied at the bottom for pairwise comparisons.
Load defaults
Ballots
Assign the same number to multiple choices to create ties. Click a selected number again to clear it.
Pairwise
Positive values mean the row choice beats the column choice by that many ballots.
| A | B | C | D | |
|---|---|---|---|---|
| A | - | +2 5-3 | -2 3-5 | +8 8-0 |
| B | -2 3-5 | - | +4 6-2 | +8 8-0 |
| C | +2 5-3 | -4 2-6 | - | +8 8-0 |
| D | -8 0-8 | -8 0-8 | -8 0-8 | - |
Results
Ranked Robin counts pairwise wins like Copeland, but ties count as 0 instead of 0. Tie groups break by first-degree win margins over finalists only, second-degree win margins over the full field, fewest votes against, and finally beatpath strength across the shortest winning paths.