Uncovered Set

Violation of Negative Involvement

Profile type: ProfileWithTies
Config: 3 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 1 2 0 :

Full profile
+-----+---+---+
|  1  | 2 | 1 |
+-----+---+---+
|  0  | 1 | 2 |
| 1 2 | 2 | 0 |
|     | 0 | 1 |
+-----+---+---+
ProfileWithTies([{1: 1, 2: 1, 0: 0}, {0: 2, 2: 1, 1: 0}, {1: 2, 0: 1, 2: 0}], rcounts=[1, 2, 1], cmap={0: 0, 1: 1, 2: 2})
Uncovered Set winners are {0, 1}

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