Somewhere out there there's a social model that makes a lot more sense and just works, but we can't fathom it right now because we are so busy worrying about competing over pieces on the ground.
If my assumption is correct, let me reply- land has real value. This is for two reasons.
First, everybody occupies space. We all live somewhere; space is valuable because we all have to occupy it, the same way that food is valuable because we all have to eat.
Second, all wealth originates from two sources; human labor/effort, and natural resources. Natural resources are harvested from land.
Thus, the competition over plots of land will go away only if land becomes so plentiful (or humans become so scarce) its value is unimportant, AND resources become so plentiful their value is also nominal. An example is air; it has little value, even though we all have to breathe, because there is so much of it.