Profile type: Profile
Config: 3 c, 7 v
Parameters: set_preference=optimist
Violation of Participation for Instant Runoff under the optimist set preference.
A voter with the ranking (0, 2, 1) can benefit by abstaining.
Original Profile:
+---+---+---+
| 2 | 3 | 2 |
+---+---+---+
| 0 | 1 | 2 |
| 2 | 2 | 1 |
| 1 | 0 | 0 |
+---+---+---+
Profile([[0, 2, 1], [1, 2, 0], [2, 1, 0]], rcounts=[2, 3, 2], cmap={0: '0', 1: '1', 2: '2'})
Instant Runoff winner is {1}
Profile if the voter abstains:
+---+---+---+
| 1 | 3 | 2 |
+---+---+---+
| 0 | 1 | 2 |
| 2 | 2 | 1 |
| 1 | 0 | 0 |
+---+---+---+
Profile([[0, 2, 1], [1, 2, 0], [2, 1, 0]], rcounts=[1, 3, 2], cmap={0: '0', 1: '1', 2: '2'})
Instant Runoff winners are {1, 2}