Kinda sounds to me like your dogs are still trying to work out who is the "Top Dog". Some dogs just like to play like this too. Mine do. It is a constant game of keep away at my house. I just keep my eyes on what is going on so that it doesn't get out of hand. If things seem to escalate I redirect them. So far so good. Never had a problem with mine. It is funny though. I have probably 40 toys in a toy basket and they want the oldest crappiest one to play fight over. I work with children also (2 year olds) and they are exactly the same way. I spend all day redirecting them when things get out of hand. Ha Ha