Leximax

Violation of Strategy Proofness

Profile type: ProfileWithTies
Config: 3 c, 2 v
Parameters: ∅

Violation of Strategy-Proofness for Leximax under the single-winner set preference.
A voter can benefit by changing their ranking from 2 1 0  to 2 0 1 .

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

Leximax winner is {1}

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

Leximax winner is {2}