[quote][b]Posted by:[/b] Mutoid Log
Firstly, unexpected results actually lower sigma more than expected ones, as we see from [url=http://research.microsoft.com/en-us/projects/trueskill/skilldia_5.jpg]top right here.[/url]
For the relation between teammate sigma and mu change, [url=http://research.microsoft.com/en-us/projects/trueskill/equations.jpg]this[/url] clearly tells that lower teammate sigma = higher mu gain (the sigmas in c = team sum sigmas).
A large amount of lost games acts as overwhelming evidence for the player being bad. And due to quitting, the player's performance in each game is incredibly consistent; the exact same every time, actually.
And yes, a legit ten should level a new account up as fast as someone who quit to ten. If they had the same sigmas, that is. But thanks to the consistency of the quitter, he may have a lower sigma, and thanks to that also lower mu, than a standard legit player at the same level.[/quote]Wait, what? Uncertainty is lowered more for an unpredictable outcome compared to a predicted outcome? Also, the lower the sigma, the higher the MU gain? No, look again.
The equations will almost always lower sigma, the point you missed is that the simple act of losing is not what increases his sigma. Yes, the sigma change, based on the equations, is minimal for the dude quitting a 100 games. The "enabler" part of it is the Tau value. This is a developer set variable and is the amount of sigma added back in between each game. Bungie reportedly has this set as high as they can without forcing a significant MU change after every game.
So you are partially right. Yes the sigma change is minimal when looking at the equations. It TAU that enables a player to increase their sigma. It is the increased sigma (enabler and new account combined) that gets them not only high quality matches (against established accounts with low sigma), but factors MU gain up and allows them to gain skill levels quickly.
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