Dodgson

Violation of Monotonicity

Profile type: Profile
Config: 4 c, 6 v
Parameters: check_probabilities=True

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