Borda-Minimax Faceoff

Violation of Participation

Profile type: Profile
Config: 4 c, 6 v
Parameters: set_preference=pessimist

Violation of Participation for Borda-Minimax Faceoff under the pessimist set preference.
A voter with the ranking (3, 2, 1, 0) can benefit by abstaining.

Original Profile:
+---+---+---+---+
| 1 | 2 | 2 | 1 |
+---+---+---+---+
| 2 | 2 | 3 | 3 |
| 1 | 1 | 1 | 2 |
| 0 | 3 | 0 | 1 |
| 3 | 0 | 2 | 0 |
+---+---+---+---+
Profile([[2, 1, 0, 3], [2, 1, 3, 0], [3, 1, 0, 2], [3, 2, 1, 0]], rcounts=[1, 2, 2, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})

Borda-Minimax Faceoff winners are {1, 2, 3}

Profile if the voter abstains:
+---+---+---+
| 1 | 2 | 2 |
+---+---+---+
| 2 | 2 | 3 |
| 1 | 1 | 1 |
| 0 | 3 | 0 |
| 3 | 0 | 2 |
+---+---+---+
Profile([[2, 1, 0, 3], [2, 1, 3, 0], [3, 1, 0, 2]], rcounts=[1, 2, 2], cmap={0: '0', 1: '1', 2: '2', 3: '3'})

Borda-Minimax Faceoff winner is {2}