Stable Voting

Violation of Participation

Profile type: ProfileWithTies
Config: 4 c, 5 v
Parameters: set_preference=optimist

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

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

Stable Voting winner is {1}

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

Stable Voting winners are {0, 1, 2}