Simple Stable Voting

Violation of Participation

Profile type: Profile
Config: 4 c, 8 v
Parameters: set_preference=optimist

Violation of Participation for Simple Stable Voting under the optimist set preference.
A voter with the ranking (3, 1, 0, 2) can benefit by abstaining.

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

Simple Stable Voting winner is {1}

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

Simple Stable Voting winners are {0, 1, 2, 3}