abskebabs, my response to you was unnecessarily harsh and I apologize. It just enrages me that people like liberty student are so intellectually dishonest that they can’t answer a simple question.
There’s reason to suspect that many/most people would pursue some form of monetary restitution rather than taking “an eye for an eye”. This is not really part of the libertarian calculus though. On the primacy of punishment, see this post by Kinsella. On why there has to be, at least in theory if not in practice, the threat of the death penalty for murderous robbers see this by David Friedman.