Knockout Voting

Violation of Monotonicity

Profile type: Profile
Config: 4 c, 5 v
Parameters: ∅

Monotonicity violation for Knockout Voting by lifting 2 one rank:
+---+---+---+
| 1 | 2 | 2 |
+---+---+---+
| 1 | 2 | 3 |
| 3 | 0 | 0 |
| 2 | 1 | 2 |
| 0 | 3 | 1 |
+---+---+---+
Profile([[1, 3, 2, 0], [2, 0, 1, 3], [3, 0, 2, 1]], rcounts=[1, 2, 2], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Knockout Voting winners:  [2, 3]
Original ranking:  (3, 0, 2, 1)
New ranking: (3, 2, 0, 1)
+---+---+---+---+
| 1 | 2 | 1 | 1 |
+---+---+---+---+
| 1 | 2 | 3 | 3 |
| 3 | 0 | 0 | 2 |
| 2 | 1 | 2 | 0 |
| 0 | 3 | 1 | 1 |
+---+---+---+---+
Profile([[1, 3, 2, 0], [2, 0, 1, 3], [3, 0, 2, 1], [3, 2, 0, 1]], rcounts=[1, 2, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3'})
Knockout Voting winners in updated profile: [3]