Knockout Voting

Violation of Positive Involvement

Profile type: Profile
Config: 3 c, 10 v
Parameters: check_probabilities=True

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

Full profile:
+---+---+---+---+
| 2 | 3 | 1 | 4 |
+---+---+---+---+
| 0 | 1 | 1 | 2 |
| 2 | 0 | 2 | 1 |
| 1 | 2 | 0 | 0 |
+---+---+---+---+
Profile([[0, 2, 1], [1, 0, 2], [1, 2, 0], [2, 1, 0]], rcounts=[2, 3, 1, 4], cmap={0: '0', 1: '1', 2: '2'})
Knockout Voting winner is {2}

Profile with voter removed:
+---+---+---+
| 2 | 3 | 4 |
+---+---+---+
| 0 | 1 | 2 |
| 2 | 0 | 1 |
| 1 | 2 | 0 |
+---+---+---+
Profile([[0, 2, 1], [1, 0, 2], [2, 1, 0]], rcounts=[2, 3, 4], cmap={0: '0', 1: '1', 2: '2'})
Knockout Voting winners are {1, 2}