Item quality and multiple players?

[Elric of Grans]

I heard today that the more players there are in the game, the higher the ilvl of the drops. That did not match my understanding, but I do not preach to be the expert of Diablo III's every underlying mechanic. Certainly, drops were better with more players in Diablo II, so it would be logical to retain that. Does anyone have a definitive answer on this? If so, do you know exactly how it works? Failing that, what do your personal experiences suggest on this topic?

Personally, I have never noticed a difference in quantity or quality, but I swear my allies always get better drops than me! Similarly, I feel I get the same number of rares in multiplayer games, and it seems like every player gets about the same number over the course of the session.