Beat Path

Violation of Truncated Involvement

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

Truncated Involvement violation found:

Original profile:
+---+---+-----+
| 1 | 1 |  1  |
+---+---+-----+
| 1 | 2 | 0 1 |
| 2 | 0 |  2  |
| 0 | 1 |     |
+---+---+-----+
ProfileWithTies([{0: 2, 2: 1, 1: 0}, {1: 2, 0: 1, 2: 0}, {2: 1, 0: 0, 1: 0}], rcounts=[1, 1, 1], cmap={0: 0, 1: 1, 2: 2})
Beat Path winner is {1}

Profile with ballot removed:
+---+-----+
| 1 |  1  |
+---+-----+
| 2 | 0 1 |
| 0 |  2  |
| 1 |     |
+---+-----+
ProfileWithTies([{1: 2, 0: 1, 2: 0}, {2: 1, 0: 0, 1: 0}], rcounts=[1, 1], cmap={0: '0', 1: '1', 2: '2'})
Beat Path winners are {0, 2}

Margin graph of profile with ballot removed:

Profile with truncated ballot:
+---+-----+---+
| 1 |  1  | 1 |
+---+-----+---+
| 2 | 0 1 | 1 |
| 0 |  2  | 2 |
| 1 |     |   |
+---+-----+---+
ProfileWithTies([{1: 2, 0: 1, 2: 0}, {2: 1, 0: 0, 1: 0}, {1: 0, 2: 1}], rcounts=[1, 1, 1], cmap={0: '0', 1: '1', 2: '2'})
Beat Path winner is {0}

Margin graph of profile with truncated ballot:

Truncated ballot: {1: 0, 2: 1}
Ranked candidates: [1, 2]
Unranked candidates: [0]
Winners: [0]

Winners shifted from ranked candidates [2] to unranked candidates [0]