Sandpit, on 11 December 2013 - 04:02 PM, said:
You're going well above the common understanding of statistics. (No offense to anyone, not intended to be a slight)
Basically:
Team 1 = ELO 500
Team 2 = ELO 500
The predictive component of the MM says both teams are equal, the winner is irelevant, and ELO won't change much if at all regardless of which team wins or how badly a team loses
Not quite. The Elo rating will change by the k-value in this kind of match. K-value is essentially just number Elo uses as the "default" score change. When the match is a toss-up, as in this example, the winner's rating goes up by the k-value while the loser's rating goes down by the k-value. This helps teams/players converge on an accurate Elo rating over time.
Quote
Team 2 = ELO 500
The predictive component of the MM says team 1 will win. If team 2 wins by any means even a 12-11 then ELO will shift dramatically for both teams. If team 1 wins then ELO won't shift much if at all.
As the Elo ratings diverge, a formula adjusts the delta for a win or a loss. In this example (and assuming a fairly normal Elo setup), we can be pretty sure that Team 1 is going to win. The chances are likely well over 90%. Again, this depends on exactly how the Elo ratings are set up, but generally a 400-point difference in ratings is practically a lock.
So since we're almost certain that Team 1 is going to win, it doesn't make much sense to reward them for winning. The delta is likely 1 rating point, or if the divergence is significant enough it can even be 0.
However, if the unthinkable happens and Team 2 somehow pulls out a victory, they should be greatly rewarded for their superhuman effort. In this case, the delta is likely double the k-value.
Note that Elo ratings aren't static and aren't meant to be. Your rating will move around a bit every time you play due to the k-value. But if you're at your appropriate rating, it should essentially hover around that value... you'll win one and move up, then you'll lose one and move back down, etc.
In chess, Elo ratings are disturbingly accurate. Chess is based entirely on the knowledge and skill of the individual players, so the ratings aren't affected by random chance, network lag, or some derp on the team pulling a Leroy Jenkins. MWO Elo ratings will fluctuate significantly because of those things, but will always auto-correct back toward a more appropriate value as you continue to play.