Simplified Bucklin

Violation of Participation

Profile type: Profile
Config: 4 c, 4 v
Parameters: set_preference=optimist

Violation of Participation for Simplified Bucklin under the optimist set preference.
A voter with the ranking (3, 0, 2, 1) can benefit by abstaining.

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

Simplified Bucklin winner is {1}

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

Simplified Bucklin winner is {2}