Profile type: ProfileWithTies
Config: 4 c, 3 v
Parameters: ∅
Violation of Strategy-Proofness for Uncovered Set - Fishburn under the single-winner set preference.
A voter can benefit by changing their ranking from 3 0 ( 1 2 ) to 0 2 1 3 .
Original Profile:
+-----+-----+-----+
| 1 | 1 | 1 |
+-----+-----+-----+
| 2 | 3 | 0 1 |
| 1 3 | 0 | 2 |
| 0 | 1 2 | 3 |
| | | |
+-----+-----+-----+
ProfileWithTies([{0: 2, 1: 1, 3: 1, 2: 0}, {1: 2, 2: 2, 0: 1, 3: 0}, {3: 2, 2: 1, 0: 0, 1: 0}], rcounts=[1, 1, 1], cmap={0: 0, 1: 1, 2: 2, 3: 3})
Uncovered Set - Fishburn winner is {1}
New Profile:
+-----+-----+---+
| 1 | 1 | 1 |
+-----+-----+---+
| 2 | 0 1 | 0 |
| 1 3 | 2 | 2 |
| 0 | 3 | 1 |
| | | 3 |
+-----+-----+---+
ProfileWithTies([{0: 2, 1: 1, 3: 1, 2: 0}, {3: 2, 2: 1, 0: 0, 1: 0}, {3: 3, 1: 2, 2: 1, 0: 0}], rcounts=[1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Uncovered Set - Fishburn winner is {0}