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