well Jerkface (I think it's funny to call you that even though I'm not mad at you), you can't present a theoretical framework of perfect anarchy, then take away the theoretical framework with a realistic scenario and ask what they would do.
In a perfect Anarchistic society, everyone would be wonderful to eachother and share everything including the workload, and life would be peaceful and there wouldn't be theives, liars or murderers. (Get up get on your feet!)
In a realistic anarchist society, there will be a few that stray from the ideal - so as a collective group, they must decide the fate of the offender. Even if it's not a central authority dishing out the punishment, maybe it's the family of the victim.
I think this is why pure Anarchy isn't viable by the way, because for consistency in punishment, eventually you'll want to write down what are considered crimes, and what the punishments will be for them. And that kinda sounds like laws ... bye bye pure anarchy, hello some more realistic version of it, but with rules.
I guess my point is, that when discussing the finer philisophical points of power inequities, you should probably stick to an idealistic framework. Once you throw reality in the mix, then the finer philisohical points are no longer valid.
One more thought on the matter - Anarchy really just means no ruler, no central authority, no laws, etc. I don't think it was ever meant to be some kind of ultra precice power equilibrium. I think you can have, even a hypothetical, idealistic anarchist society, and still see that the power is obviously not equal. At the very simplest level, take parents and their children. An obvious power imbalance there, yet it doesn't negate the concept, in theory, of an anarchist society.