Weak Nanson

Violation of Negative Involvement

Profile type: Profile
Config: 4 c, 4 v
Parameters: check_probabilities=True

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

Full profile
+---+---+---+---+
| 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'})
Weak Nanson winners are {0, 1, 2, 3}

Profile with voter removed
+---+---+---+
| 1 | 1 | 1 |
+---+---+---+
| 0 | 1 | 2 |
| 3 | 0 | 1 |
| 2 | 3 | 0 |
| 1 | 2 | 3 |
+---+---+---+
Profile([[0, 3, 2, 1], [1, 0, 3, 2], [2, 1, 0, 3]], rcounts=[1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Weak Nanson winner is {1}