Profile type: Profile
Config: 4 c, 9 v
Parameters: ∅
Truncated Involvement violation found:
Original profile:
+---+---+---+---+---+
| 3 | 3 | 1 | 1 | 1 |
+---+---+---+---+---+
| 1 | 2 | 3 | 3 | 3 |
| 3 | 0 | 0 | 2 | 2 |
| 2 | 1 | 1 | 0 | 1 |
| 0 | 3 | 2 | 1 | 0 |
+---+---+---+---+---+
Profile([[1, 3, 2, 0], [2, 0, 1, 3], [3, 0, 1, 2], [3, 2, 0, 1], [3, 2, 1, 0]], rcounts=[3, 3, 1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Leximax winner is {1}
Profile with ballot removed:
+---+---+---+---+---+---+---+---+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
+---+---+---+---+---+---+---+---+
| 1 | 1 | 1 | 2 | 2 | 2 | 3 | 3 |
| 3 | 3 | 3 | 0 | 0 | 0 | 0 | 2 |
| 2 | 2 | 2 | 1 | 1 | 1 | 1 | 0 |
| 0 | 0 | 0 | 3 | 3 | 3 | 2 | 1 |
+---+---+---+---+---+---+---+---+
Profile([[1, 3, 2, 0], [1, 3, 2, 0], [1, 3, 2, 0], [2, 0, 1, 3], [2, 0, 1, 3], [2, 0, 1, 3], [3, 0, 1, 2], [3, 2, 0, 1]], rcounts=[1, 1, 1, 1, 1, 1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Leximax winner is {2}
Margin graph of profile with ballot removed:
Profile with truncated ballot:
+---+---+---+---+---+---+---+---+---+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
+---+---+---+---+---+---+---+---+---+
| 1 | 1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 |
| 3 | 3 | 3 | 0 | 0 | 0 | 0 | 2 | 2 |
| 2 | 2 | 2 | 1 | 1 | 1 | 1 | 0 | |
| 0 | 0 | 0 | 3 | 3 | 3 | 2 | 1 | |
+---+---+---+---+---+---+---+---+---+
ProfileWithTies([{np.int64(1): 1, np.int64(3): 2, np.int64(2): 3, np.int64(0): 4}, {np.int64(1): 1, np.int64(3): 2, np.int64(2): 3, np.int64(0): 4}, {np.int64(1): 1, np.int64(3): 2, np.int64(2): 3, np.int64(0): 4}, {np.int64(2): 1, np.int64(0): 2, np.int64(1): 3, np.int64(3): 4}, {np.int64(2): 1, np.int64(0): 2, np.int64(1): 3, np.int64(3): 4}, {np.int64(2): 1, np.int64(0): 2, np.int64(1): 3, np.int64(3): 4}, {np.int64(3): 1, np.int64(0): 2, np.int64(1): 3, np.int64(2): 4}, {np.int64(3): 1, np.int64(2): 2, np.int64(0): 3, np.int64(1): 4}, {np.int64(3): 1, np.int64(2): 2}], rcounts=[1, 1, 1, 1, 1, 1, 1, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Leximax winner is {1}
Margin graph of profile with truncated ballot:
Truncated ballot: {np.int64(3): 1, np.int64(2): 2}
Ranked candidates: (np.int64(3), np.int64(2))
Unranked candidates: [0, 1]
Winners: [1]
Winners shifted from ranked candidates ['2'] to unranked candidates ['1']