While it may ultimately come down to their “ability to fight”, I think there is much more to say here. If we assume the two PDAs are both large and have powerful weapons, they are obviously not going to have a war over a simple dispute like a petty theft. Which PDA has greater ability to fight is irrelevant in this case; war is not on the table, and that is fully understood by both sides. This conflict will be resolved by one PDA paying off the other. In this case, what is comes down to is “ability to pay”, or who has the greatest bargaining power in negotiations.
I think this is incorrect. I think you’ve reached this incorrect conclusion by focussing solely on “ability to fight” rather than “ability to pay” as well. Also, you appear to not consider that negotiations could (and probably will) happen between PDAs prior to any specific conflict. If I may quote David Friedman:
I think this is an extremely important idea.
Taking a step back for a moment, we know that what gets produced in any free market is ultimately determined by public opinion. The relative amount of capital, land and labor devoted to the production of one type of food relative to another type of food is dependent on relatively how much each type of food is demanded, for example. So we can expect the same thing with regard to what laws will be produced in anarchy.
The kinds of laws that get produced will be the kinds of laws that people demand. Public opinion will be reflected in the laws that are produced. The barganing process described by Friedman is the mechanism through which this will take place. This is how individuals’ opinions on ethics and justice are translated into laws in anarchy.
I don’t see how that follows at all. But anyway it contradicts what you said earlier about restitution / retribution being enforced.