Profile type: Profile
Config: 3 c, 2 v
Parameters: set_preference=pessimist
Violation of Participation for Top Cycle under the pessimist set preference.
A voter with the ranking (1, 2, 0) can benefit by abstaining.
Original Profile:
+---+---+
| 1 | 1 |
+---+---+
| 1 | 2 |
| 2 | 0 |
| 0 | 1 |
+---+---+
Profile([[1, 2, 0], [2, 0, 1]], rcounts=[1, 1], cmap={0: '0', 1: '1', 2: '2'})
Top Cycle winners are {0, 1, 2}
Profile if the voter abstains:
+---+
| 1 |
+---+
| 2 |
| 0 |
| 1 |
+---+
Profile([[2, 0, 1]], rcounts=[1], cmap={0: '0', 1: '1', 2: '2'})
Top Cycle winner is {2}