Profile type: Profile
Config: 4 c, 2 v
Parameters: set_preference=optimist
Violation of Strategy-Proofness for Simplified Bucklin under the optimist set preference.
A voter can benefit by changing their ranking from (2, 3, 1, 0) to (0, 2, 1, 3).
Original Profile:
+---+---+
| 1 | 1 |
+---+---+
| 2 | 3 |
| 3 | 1 |
| 1 | 2 |
| 0 | 0 |
+---+---+
Profile([[2, 3, 1, 0], [3, 1, 2, 0]], rcounts=[1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Simplified Bucklin winner is {3}
New Profile:
+---+---+
| 1 | 1 |
+---+---+
| 3 | 0 |
| 1 | 2 |
| 2 | 1 |
| 0 | 3 |
+---+---+
Profile([[3, 1, 2, 0], [0, 2, 1, 3]], rcounts=[1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Simplified Bucklin winners are {1, 2}