Banks

Violation of Independence of Pareto-Dominated Alternatives

Profile type: ProfileWithTies
Config: 4 c, 3 v
Parameters: ∅

IPDA violation for Banks.
1 is Pareto-dominated by another candidate and removing 1 changes the set of winners:
+-----+---+-----+
|  1  | 1 |  1  |
+-----+---+-----+
|  2  | 3 | 0 2 |
| 1 3 | 0 |  1  |
|  0  | 2 |  3  |
|     | 1 |     |
+-----+---+-----+
ProfileWithTies([{0: 2, 1: 1, 3: 1, 2: 0}, {1: 3, 2: 2, 0: 1, 3: 0}, {3: 2, 1: 1, 0: 0, 2: 0}], rcounts=[1, 1, 1], cmap={0: 0, 1: 1, 2: 2, 3: 3})
Winners in full election: [0, 2, 3]
Winners in election without 1: [2, 3]