Profile type: ProfileWithTies
Config: 4 c, 4 v
Parameters: ∅
Truncated Involvement violation found:
Original profile:
+-----+---+-----+-----+
| 1 | 1 | 1 | 1 |
+-----+---+-----+-----+
| 3 | 3 | 0 1 | 0 2 |
| 1 | 2 | 3 | 1 3 |
| 0 2 | 1 | 2 | |
| | 0 | | |
+-----+---+-----+-----+
ProfileWithTies([{0: 2, 2: 2, 1: 1, 3: 0}, {0: 3, 1: 2, 2: 1, 3: 0}, {2: 2, 3: 1, 0: 0, 1: 0}, {1: 1, 3: 1, 0: 0, 2: 0}], rcounts=[1, 1, 1, 1], cmap={0: 0, 1: 1, 2: 2, 3: 3})
Uncovered Set winners are {0, 3}
Profile with ballot removed:
+---+-----+-----+
| 1 | 1 | 1 |
+---+-----+-----+
| 3 | 0 1 | 0 2 |
| 2 | 3 | 1 3 |
| 1 | 2 | |
| 0 | | |
+---+-----+-----+
ProfileWithTies([{0: 3, 1: 2, 2: 1, 3: 0}, {2: 2, 3: 1, 0: 0, 1: 0}, {1: 1, 3: 1, 0: 0, 2: 0}], rcounts=[1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Uncovered Set winners are {0, 1, 2}
Margin graph of profile with ballot removed:
Profile with truncated ballot:
+---+-----+-----+---+
| 1 | 1 | 1 | 1 |
+---+-----+-----+---+
| 3 | 0 1 | 0 2 | 3 |
| 2 | 3 | 1 3 | 1 |
| 1 | 2 | | |
| 0 | | | |
+---+-----+-----+---+
ProfileWithTies([{0: 3, 1: 2, 2: 1, 3: 0}, {2: 2, 3: 1, 0: 0, 1: 0}, {1: 1, 3: 1, 0: 0, 2: 0}, {3: 0, 1: 1}], rcounts=[1, 1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Uncovered Set winners are {0, 2}
Margin graph of profile with truncated ballot:
Truncated ballot: {3: 0, 1: 1}
Ranked candidates: [3, 1]
Unranked candidates: [0, 2]
Winners: [0, 2]
Winners shifted from ranked candidates [1] to unranked candidates [0, 2]