Smith-Minimax

Violation of Tolerant Positive Involvement

Profile type: Profile
Config: 4 c, 10 v
Parameters: ∅

1 loses in the full profile, but 1 is a winner after removing a voter with the ranking (np.int64(2), np.int64(3), np.int64(1), np.int64(0)):

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

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