I brought home two bearded dragons yesterday that have lived in the same enclosure for 2 1/2 years. they were fine before i brought them home, fine on the ride, but now that i have everything all set up, they are biting each other and not letting go, getting on each other backs, bobbing their heads, blackening their beards... they are fine with me, the problem seems to be with each other. why is this happening now? stress of moving?
Stress from the move probably brought it on, but maybe their past owners weren't completely honest with you about their behavior. You need to separate them right away and start working on getting a second enclosure set up.
Here is some information on why they should be and permanently stay in separate enclosures. viewtopic.php?f=6&t=154908
As its' been said, it's usually a bad idea to keep two beardies together - especially if they're both males. Mixed genders or two females are usually safer, but I'd never do it regardless of their sexes.