Suppose the night before an election, player C is pretty sure the election is going down as above. (Surveys and all that.) The election is using the plurality with elimination method. Note: technically we can combine the first and last column of the election. I think it’s easier to see my point with them separated.

Who wins?

The last column of two voters prefer candidate C. C tells these two fans to change their vote. They switch A and C’s places. This should actually harm C’s chances of winning, right? Let’s see.

Here’s the changed election.

The Monotonicity Criterion: If candidate X wins an election and changes are made to the preference schedule that strictly favor X, X should still win.