Pareto

Violation of Reinforcement

Profile type: Profile
Config: 2 c, 3 v
Parameters: ∅

Candidate 0 wins in the full profile but is not among the candidates who win in both subprofiles:

Subprofile 1
+---+---+
| 1 | 1 |
+---+---+
| 0 | 1 |
| 1 | 0 |
+---+---+
Profile([[0, 1], [1, 0]], rcounts=[1, 1], cmap={0: '0', 1: '1'})
Pareto winners are {0, 1}

Subprofile 2
+---+
| 1 |
+---+
| 1 |
| 0 |
+---+
Profile([[1, 0]], rcounts=[1], cmap={0: '0', 1: '1'})
Pareto winner is {1}

Full profile
+---+---+
| 1 | 2 |
+---+---+
| 0 | 1 |
| 1 | 0 |
+---+---+
Profile([[0, 1], [1, 0]], rcounts=[1, 2], cmap={0: '0', 1: '1'})
Pareto winners are {0, 1}