Most Wins, Smallest Loss

Violation of Participation

Profile type: Profile
Config: 4 c, 8 v
Parameters: ∅

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

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

Most Wins, Smallest Loss winner is {3}

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

Most Wins, Smallest Loss winner is {1}