Split Cycle

Violation of Participation

Profile type: Profile
Config: 4 c, 6 v
Parameters: set_preference=pessimist

Violation of Participation for Split Cycle under the pessimist set preference.
A voter with the ranking (3, 2, 0, 1) can benefit by abstaining.

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

Split Cycle winners are {0, 2, 3}

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

Split Cycle winner is {2}