Idk... I don't know that I believe that we can avoid competition over things anymore tbh. Even with socialism, the interests of the proletariat is in dissolving the distinction between the worker & owner of productive property; and that's about as far as it goes. But that doesn't mean people get valued the same; not everybody gets to matter. And so that's wherein you'll find competition.
Competition for resources causes humans to turn suck. When competition is not a factor, humans are nice.
We have real world examples of humans that live under those conditions. Watch the things in this awesome thread and make sure to read the images at the end of it.
Our behaviour is determined by the material conditions.
Idk... I don't know that I believe that we can avoid competition over things anymore tbh. Even with socialism, the interests of the proletariat is in dissolving the distinction between the worker & owner of productive property; and that's about as far as it goes. But that doesn't mean people get valued the same; not everybody gets to matter. And so that's wherein you'll find competition.