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Vaniver comments on Harry Potter and the Methods of Rationality discussion thread, February 2015, chapter 104 - Less Wrong Discussion
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But it requires cooperation by both parties, only one of whom will win the cup, and that the primary contender for the cup not be in the game. There's also the question of whether or not it's sporting, and how much the players care about that. (Odds are high that the Snitch is cursed or the Seekers somehow coerced in this game.)
It also requires that the two houses (which pretty much have to be Ravenclaw and Slytherine, as the other two would be above such dirty tactics) are almost neck and neck on points, so that each has a chance to win afterwards. Plus, Quirrel's battles have taught the students to bend rules and cooperate with other houses.
We don't actually know what happens if House Points tie. Presumably this doesn't happen because Dumbledore or some other professor breaks it?
If I remember right, Quiddich is scored in increments of ten, so if the current House Points score for one of the contenders isn't a multiple of that it's impossible to tie them based on Quiddich scores. I don't remember seeing anyone giving out one or two House Points at a time, but we've seen five.
I seem to recall many single points issued in academic settings, and I also seem to recall the conversion from Quirrell points to House points allowing single numbers.
I imagine it helps to have a Professor in on the scheme.