Copeland-Global-Borda

Violation of Participation

Profile type: Profile
Config: 3 c, 9 v
Parameters: set_preference=pessimist

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

Original Profile:
+---+---+---+
| 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'})

Copeland-Global-Borda winners are {1, 2}

Profile if the voter abstains:
+---+---+---+
| 1 | 3 | 4 |
+---+---+---+
| 0 | 1 | 2 |
| 2 | 0 | 1 |
| 1 | 2 | 0 |
+---+---+---+
Profile([[0, 2, 1], [1, 0, 2], [2, 1, 0]], rcounts=[1, 3, 4], cmap={0: '0', 1: '1', 2: '2'})

Copeland-Global-Borda winner is {2}