3.25 Plurality-with-elimination (Instant Runoff) violates the monotonicity criterion

  • Before:
No. of voters 7 8 10 2
1 A B C A
2 B C A C
3 C A B B

TV = 27,

Absolute majority = 14.

  • B is eliminated.

The winner is C.

  • … and after the change (2 voters decide to move C up):
No. of voters 7 8 10 2
1 A B C C
2 B C A A
3 C A B B
  • A is eliminated.
  • The winner is B.