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