Profile type: ProfileWithTies
Config: 3 c, 3 v
Parameters: set_preference=pessimist
Violation of Strategy-Proofness for Uncovered Set - Fishburn under the pessimist set preference.
A voter can benefit by changing their ranking from 1 ( 0 2 ) to 1 2 0 .
Original Profile:
+-----+---+-----+
| 1 | 1 | 1 |
+-----+---+-----+
| 1 | 2 | 0 1 |
| 0 2 | 0 | 2 |
| | 1 | |
+-----+---+-----+
ProfileWithTies([{0: 1, 2: 1, 1: 0}, {1: 2, 0: 1, 2: 0}, {2: 1, 0: 0, 1: 0}], rcounts=[1, 1, 1], cmap={0: 0, 1: 1, 2: 2})
Uncovered Set - Fishburn winners are {0, 1}
New Profile:
+---+-----+---+
| 1 | 1 | 1 |
+---+-----+---+
| 2 | 0 1 | 1 |
| 0 | 2 | 2 |
| 1 | | 0 |
+---+-----+---+
ProfileWithTies([{1: 2, 0: 1, 2: 0}, {2: 1, 0: 0, 1: 0}, {0: 2, 2: 1, 1: 0}], rcounts=[1, 1, 1], cmap={0: '0', 1: '1', 2: '2'})
Uncovered Set - Fishburn winner is {1}