Tideman Alternative Top Cycle

Violation of Strategy Proofness

Profile type: Profile
Config: 3 c, 4 v
Parameters: set_preference=weak-dominance

Violation of Strategy-Proofness for Tideman Alternative Top Cycle under the weak-dominance set preference.
A voter can benefit by changing their ranking from (1, 2, 0) to (1, 0, 2).

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

Tideman Alternative Top Cycle winners are {1, 2}

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

Tideman Alternative Top Cycle winner is {1}