There is no reason why anarchy should lack logic. It lacks command structure, certainly (that's what it means) and has no laws (or at least no way of enforcing them, which, with humans, comes to the same thing) but this does not oblige a sort of wild west survival if the fastest, most vicious and most selfish. And even in the marshal-free wooly west there were many communities that co-operated, seeing that as their optimal survival strategy.
A stable anarchy probably couldn't survive a high population density, and I think there would have to be parental authority for at least the earlier years of a child's life (yes, spoils the aesthetic purity of the concept, but I can't see any way round it) but it could be totally logical, everyone chipping in for enlightened self interest…
Try Eric Frank Russell's "Gands", from "The great Explosion". Anarchists, with no greater punishment tan social shunning, but in no way antisocial… Yeah, real humans probably would never be that selfless (except in emergencies), but you asked how to write them.
A stable anarchy probably couldn't survive a high population density, and I think there would have to be parental authority for at least the earlier years of a child's life (yes, spoils the aesthetic purity of the concept, but I can't see any way round it) but it could be totally logical, everyone chipping in for enlightened self interest…
Try Eric Frank Russell's "Gands", from "The great Explosion". Anarchists, with no greater punishment tan social shunning, but in no way antisocial… Yeah, real humans probably would never be that selfless (except in emergencies), but you asked how to write them.