Forum:More players = better rewards?

Hi guys. I know that More player = better loot - but, does having more players mean you get better stuff for turning in missions with rewards.

I.E. If I turn in the last circle of duty mission with 3 other people with me, will I get a better gearbox gun than if I turned in the mission on single player?

I was just wondering if the more players/better loot applies to this or not. - Uber orb