It means that game's online features and aspects have servers that are hosted from the developer and dedicated. Back in the Dreamcast and original Xbox days online MP was hosted via which ever user had the best online at home.
In short it's a good thing for games to have dedicated servers.
Also, not sure where you're looking to get your Xbox One, but I highly suggest Craigslist!
Just got all this the weekend before the last for $400!!
Xbox One w/ Kinect (just bought in 3/2014) 2 year extended warranty Extra controller Energizer charging dock Forza 5 Titanfall Thief Watch_Dogs Kinect Sports Rivals
So I found a great deal on there… not to mention he had console box and of course the receipt as well for the warranty! --- XBL NocturnalFreak