Strict Nanson

Violation of Participation

Profile type: Profile
Config: 3 c, 6 v
Parameters: set_preference=pessimist

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

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

Strict Nanson winners are {0, 1, 2}

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

Strict Nanson winner is {1}