Simplified Dodgson

Violation of Strategy Proofness

Profile type: ProfileWithTies
Config: 3 c, 6 v
Parameters: ∅

Violation of Strategy-Proofness for Simplified Dodgson under the single-winner set preference.
A voter can benefit by changing their ranking from 1 0 2  to 0 1 2 .

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

Simplified Dodgson winner is {2}

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

Simplified Dodgson winner is {0}