Weighted Bucklin

Violation of Participation

Profile type: Profile
Config: 3 c, 5 v
Parameters: set_preference=pessimist

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

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

Weighted Bucklin winners are {0, 1, 2}

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

Weighted Bucklin winner is {1}