Bucklin

Violation of Participation

Profile type: Profile
Config: 3 c, 4 v
Parameters: set_preference=pessimist

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

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

Bucklin winners are {0, 2}

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

Bucklin winner is {2}