I realize that this is my second post of the day... Apologies :)
I can't find this answer in the AIM or FAR anywhere. But assume you just landed and are taxing off the runway. As you are getting off at the intersection there is an aircraft taxiing on the parallel right in front of you. If you cross the hold short line you are going to hit the other aircraft, and if you don't cross it then, well, you are parked on an active runway.
I had this situation happen to me a couple of years ago at an uncontrolled airport where I got off the runway to the right thinking this taxiing aircraft coming from my left would stop to let me get off. Unfortunately he did not let me, resulting in me having to make an evasive maneuver. Needless to say, the dentist in his bonanza faulted me for not letting him pass. I wish there were some regs for me to go by but we left the argument inconclusive.
So, do aircraft exiting the runway have right of way over aircraft taxing around the runway? Does it even matter if you're on the right or left?
If there are no regs to go off of, I'd think the common sense rule is that exiting aircraft have the right to get off the active ASAP.