Positive-Negative Voting

Violation of Strategy Proofness

Profile type: Profile
Config: 4 c, 2 v
Parameters: ∅

Violation of Strategy-Proofness for Positive-Negative Voting under the single-winner set preference.
A voter can benefit by changing their ranking from (2, 1, 3, 0) to (1, 0, 2, 3).

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

Positive-Negative Voting winner is {3}

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

Positive-Negative Voting winner is {1}