Proportional Response

I posted another topic here which died and this question was never answered: In ancap law theory, what defines a proportional response?

EDIT: Sorry, should have been more clear: A proportional response to someone who has aggressed against you. It is intuitively appealing enough that someone who has stolen $100 from me should be made to return my $100, but how can it be defined for all cases? If a man who has no children murders one of mine, how should he be forced to compensate?

It is not a satisfying answer to put it up the courts, because the perpetrator doesn’t get to decide which court he goes to, and what if the court gives an unjust, unproportional response?

Proportional response to what?

Edit:

So you are talking punishment theory, not self defense, correct?

Punishment and Proportionality: The estoppel approach - Kinsella