Weighted Covering

Violation of Strategy Proofness

Profile type: ProfileWithTies
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 2 1 0  to 2 0 1 .

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

Weighted Covering winners are {1, 2}

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

Weighted Covering winner is {2}