Copeland

Violation of Participation

Profile type: Profile
Config: 4 c, 4 v
Parameters: set_preference=weak-dominance

Violation of Participation for Copeland under the weak-dominance set preference.
A voter with the ranking (2, 0, 1, 3) can benefit by abstaining.

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

Copeland winners are {1, 3}

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

Copeland winner is {1}