What is property? The clearest answer, I think, is things you can, and indeed do, keep on or with your person. Possession is one meaning of ownership (nine-tenths of the law, they say). However, clearly that is not a perfect meaning, and certainly does not encompass all the meanings it is commonly given. Property is also taken to include land and natural resources. In an anarchist world, I assume that the owner of a piece of land is basically whoever gets there first, per the homesteading principle.
How much land or natural resource can be claimed this way? If I claim a 100 acres, is that reasonable? 1,000? 10,000? Is there a limit? Once I have claimed all that land, I can set the conditions for others to live there, right? What if it’s the only aerable land around? What if they’re starving? Certainly, I will have private guards. I will mine, and raise crops and livestock. All worked by people I allow to work on my land for a generous portion of their product. Just because I got there first and can enforce my claim.
How is this different than primitive monarchy? How will you prevent the most successful (initially) from making such claims/buying up such land, and creating such conditions, and indeed, passing on their property to their descendants? Rather than the dominance of warlords, what if government starts naturally, privately, through markets and just property? What keeps the most wealthy for buying up, at the risk of sounding Marxist, all the means of production, and then setting what conditions they wish for them to be used by others? Might not anarcho-capitalism just wind up setting us back to primitive feudalism?
Is government the natural state of man? Might it be inevitable, a product, not of things going wrong with the plans of those who would abolish it, but the ultimate fullfillment of a society with no government, only property and contract?