Kemeny-Young

Violation of Tolerant Positive Involvement

Profile type: Profile
Config: 4 c, 5 v
Parameters: ∅

3 loses in the full profile, but 3 is a winner after removing a voter with the ranking (3, 0, 2, 1):

Full profile
+---+---+---+---+---+
| 1 | 1 | 1 | 1 | 1 |
+---+---+---+---+---+
| 0 | 1 | 2 | 3 | 3 |
| 3 | 0 | 1 | 0 | 2 |
| 2 | 3 | 0 | 2 | 1 |
| 1 | 2 | 3 | 1 | 0 |
+---+---+---+---+---+
Profile([[0, 3, 2, 1], [1, 0, 3, 2], [2, 1, 0, 3], [3, 0, 2, 1], [3, 2, 1, 0]], rcounts=[1, 1, 1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Kemeny-Young winner is {0}

Profile with voter removed
+---+---+---+---+
| 1 | 1 | 1 | 1 |
+---+---+---+---+
| 0 | 1 | 2 | 3 |
| 3 | 0 | 1 | 2 |
| 2 | 3 | 0 | 1 |
| 1 | 2 | 3 | 0 |
+---+---+---+---+
Profile([[0, 3, 2, 1], [1, 0, 3, 2], [2, 1, 0, 3], [3, 2, 1, 0]], rcounts=[1, 1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Kemeny-Young winners are {0, 1, 2, 3}