Real-life Monotonicity Violations
If the ballots of a real election are released, it is fairly easy to prove if it was possible
- to defeat the winner by raising him on some of the ballots (without changing the orders of the other candidates)
- to push a loser at top by lowering him on some of the ballots (without changing the orders of the other candidates)
Both events are real-life monotonicity violations.
However, the ballots (or information allowing them to be reconstructed) are rarely released for instant runoff elections, which means there are few recorded monotonicity violations for real IRV elections.
Read more about this topic: Monotonicity Criterion
Famous quotes containing the word violations:
“School-days, I believe, are the unhappiest in the whole span of human existence. They are full of dull, unintelligible tasks, new and unpleasant ordinances, brutal violations of common sense and common decency. It doesnt take a reasonably bright boy long to discover that most of what is rammed into him is nonsense, and that no one really cares very much whether he learns it or not.”
—H.L. (Henry Lewis)