Green (✓) cells mean no violation was found after exhaustive checking of (representatives of anonymous and neutral equivalence classes of) profiles with the specified numbers of candidates (c) and voters (v). Note that violations may exist for numbers of candidates and voters not yet checked! In some cases, you can click on "(ref)" for a reference stating that the method satisfies the axiom.
Red (✗) cells show the lexicographically smallest configuration (smallest number of candidates, then smallest number of voters, among configurations checked) with a violation. Click on a red cell to view the details of the violation.
Yellow (N/A) cells indicate that the voting method cannot process profiles with ties created in order to check the axiom.
| Method | Block Invariance | Downward Block Preservation | Downward Homogeneity | Homogeneity | Preferential Equality | Upward Block Preservation | Upward Homogeneity |
|---|---|---|---|---|---|---|---|
| Anti-Plurality | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Baldwin | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Baldwin PUT | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Banks | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-9v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Beat Path | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Benham | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Benham PUT | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Benham TB | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Blacks | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Borda | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Borda-Minimax Faceoff | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Bottom-Two-Runoff Instant Runoff | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Bottom-Two-Runoff Instant Runoff PUT | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Bucklin | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 3v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Condorcet | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Condorcet IRV | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Condorcet IRV PUT | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Condorcet Plurality | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Consensus Builder | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Coombs | ✗ 3c, 3v (checked 2c, 2-11v) | ✗ 3c, 3v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 5v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Coombs PUT | ✗ 3c, 3v (checked 2c, 2-11v) | ✗ 3c, 3v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 4v (checked 2c, 2-11v) | ✗ 3c, 7v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Coombs TB | ✗ 3c, 7v (checked 2c, 2-11v) | ✗ 3c, 7v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 4v (checked 2c, 2-11v) | ✗ 3c, 7v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Copeland | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Copeland-Global-Borda | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Copeland-Global-Minimax | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Copeland-Local-Borda | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Copeland-Local-Minimax | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-9v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Daunou | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Dodgson | ✗ 4c, 4v (checked 2c, 2-11v; 3c, 2-33v) | ✗ 4c, 4v (checked 2c, 2-11v; 3c, 2-33v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-9v; 5c, 2-4v; 6c, 2v | ✗ 4c, 4v (checked 2c, 2-11v; 3c, 2-33v) | ✗ 4c, 4v (checked 2c, 2-11v; 3c, 2-15v, 18-29v) | ✗ 4c, 4v (checked 2c, 2-11v; 3c, 2-33v) | ✗ 4c, 4v (checked 2c, 2-11v; 3c, 2-33v) |
| GOCHA | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Instant Runoff | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Instant Runoff PUT | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Instant Runoff TB | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Iterated Removal Condorcet Loser | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Kemeny-Young | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Knockout Voting | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Leximax | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-19v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Llull | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v |
| Loss-Trimmer Voting | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Minimax | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Minimax (Support) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Most Wins, Smallest Loss | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-19v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Pareto | ✗ 2c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Plurality | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Plurality with Runoff PUT | ✓ 2c, 4c, 2-11v; 3c, 2-20v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-20v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-20v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-20v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-20v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-20v; 5c, 2-4v; 6c, 2v |
| Positive-Negative Voting | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 4c, 2v (checked 2c, 2-11v; 3c, 2-29v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Preliminary Weighted Condorcet | ✗ 2c, 2v | ✗ 3c, 15v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 3v (checked 2c, 2-11v) | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Ranked Pairs TB | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Ranked Pairs ZT | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Raynaud | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| River TB | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| River ZT | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Simple Stable Voting | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Simplified Bucklin | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Simplified Dodgson | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-19v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-20v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Slater | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-9v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Smith IRV | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Smith IRV PUT | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Smith-Minimax | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-9v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Split Cycle | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Stable Voting | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Strict Nanson | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v |
| Superior Voting | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 4c, 2v (checked 2c, 2-11v; 3c, 2-33v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Tideman Alternative GOCHA | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-3v; 6c, 2v |
| Tideman Alternative GOCHA PUT | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Tideman Alternative Top Cycle | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Tideman Alternative Top Cycle PUT | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Top Cycle | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Uncovered Set | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Uncovered Set - Bordes | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Uncovered Set - Fishburn | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Uncovered Set - McKelvey | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Weak Condorcet | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Weak Nanson | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |
| Weighted Bucklin | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 3v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Weighted Covering | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-29v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v | ✓ 2c, 2-11v; 3c, 2-33v; 4c, 2-10v; 5c, 2-4v; 6c, 2v |
| Woodall | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✗ 3c, 2v (checked 2c, 2-11v) | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v | ✓ 2c, 4c, 2-11v; 3c, 2-33v; 5c, 2-3v; 6c, 2v |