Stable Voting

Violation of Participation

Profile type: Profile
Config: 4 c, 9 v
Parameters: ∅

Violation of Participation for Stable Voting under the single-winner set preference.
A voter with the ranking (np.int64(0), np.int64(3), np.int64(2), np.int64(1)) can benefit by abstaining.

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

Stable Voting winner is {2}

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

Stable Voting winner is {3}