Coombs

Violation of Participation

Profile type: Profile
Config: 3 c, 8 v
Parameters: ∅

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

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

Coombs winner is {0}

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

Coombs winner is {1}