Dodgson

Violation of Participation

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

Violation of Participation for Dodgson under the single-winner set preference.
A voter with the ranking (np.int64(3), np.int64(1), np.int64(0), np.int64(2), np.int64(4)) can benefit by abstaining.

Original Profile:
+---+---+---+
| 2 | 1 | 1 |
+---+---+---+
| 2 | 3 | 4 |
| 4 | 1 | 3 |
| 3 | 0 | 1 |
| 1 | 2 | 0 |
| 0 | 4 | 2 |
+---+---+---+
Profile([[2, 4, 3, 1, 0], [3, 1, 0, 2, 4], [4, 3, 1, 0, 2]], rcounts=[2, 1, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3', 4: '4'})

Dodgson winner is {4}

Profile if the voter abstains:
+---+---+
| 2 | 1 |
+---+---+
| 2 | 4 |
| 4 | 3 |
| 3 | 1 |
| 1 | 0 |
| 0 | 2 |
+---+---+
Profile([[2, 4, 3, 1, 0], [4, 3, 1, 0, 2]], rcounts=[2, 1], cmap={0: '0', 1: '1', 2: '2', 3: '3', 4: '4'})

Dodgson winner is {2}