3.27 Borda count violates IIA (2)
- Suppose that 3 voters decide that candidate C is even worse than they thought before and should be dropped to the bottom of their ballots. Note that the relative positions of A and B have not changed.
| No. of voters | 4 | 3 | 9 |
|---|---|---|---|
| 1 | A | A | B |
| 2 | B | B | A |
| 3 | C | C | C |
With C at the bottom, the winner is B (25 point).
We call C an irrelevant alternative in ranking A and B.