Smith IRV

Violation of Positive-Negative Involvement

Profile type: Profile
Config: 4 c, 6 v
Parameters:

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

Full profile
+---+---+---+---+
| 1 | 2 | 2 | 1 |
+---+---+---+---+
| 0 | 1 | 2 | 3 |
| 3 | 3 | 0 | 1 |
| 2 | 2 | 3 | 0 |
| 1 | 0 | 1 | 2 |
+---+---+---+---+
Profile([[0, 3, 2, 1], [1, 3, 2, 0], [2, 0, 3, 1], [3, 1, 0, 2]], rcounts=[1, 2, 2, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Smith IRV winners are {1, 2}

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