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