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Another good question. I don't think there is any one answer, but multiple possibilities. I think it would be interesting to see how many peaceful, innovative techniques would be created to resolve property disputes in a society where true liberty exists. How about you?

I guess we would have to come to agreements, and to find agreements we would all have to be rational ;)

Rational, a very key word. What occurs today is highly irrational, hence so many problems.