Adrian-X: both are correct - Alpaca John solution is wrong; Myrkul: solution is correct but insufficient. (Solution the property, given by God or the gods, or the big bang, [land air and water] is redefined in a new meme as something other than a commodity)
This is interesting. Now, which meme would you prefer replaces [B"Two objects cannot occupy the same space at the same time, therefore, space, being scarce, must be allocated[/B], and the [C]fairest means of allocating space is that the first occupier has a better claim than all subsequent claimants[/C], and this claim can only be transferred voluntarily," ie, private property, homestead principle, and voluntary sale?
(A) And, given that the current understanding of voluntary trade is founded on that meme, how would you structure an economy based on your meme?
I am not sure how to do it effectively, but I believe there is a problem in your proposed solution and I believe a new and alternate and better solution is possible.
I'd like to test your assumption (A) on which voluntary trade is founded, I believe we were trading stone tools well before we had developed the property meme. In fact access to the rocks weren't restricted i.e. the quarry was free for all, no individual lay clame to the property; the value came from doing the work, and the resulting benefits of the division of labour that perpetuated the practice of specialisation and trade.
(B) is a fact not a choice.
(C) your proposed solution is an existing meme and it has opposition in some schools of thought. On first glance it looks fair if space is not a finite resource, and individuals need X space.
How would you propose solving the problem if space was finite, and the occupiers of the space increased exponentially?
I dont have a good one, - culling is one, innovating to multiply the space is another. The optimal solution is probably a market driven solution, however, it creates a monopolistic relationship where the growing number of occupants are subject to supply and demand, there innovation finds a solution, but the first occupier, doesn't need to innovate as he has self proclaimed monopoly. i.e. the first occupier took something that belonged to everyone and by taking it away from everyone made it his.