Bottom-Two-Runoff Instant Runoff PUT

Violation of Participation

Profile type: Profile
Config: 3 c, 7 v
Parameters: set_preference=optimist

Violation of Participation for Bottom-Two-Runoff Instant Runoff PUT under the optimist set preference.
A voter with the ranking (1, 2, 0) can benefit by abstaining.

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

Bottom-Two-Runoff Instant Runoff PUT winner is {2}

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

Bottom-Two-Runoff Instant Runoff PUT winners are {0, 1, 2}