You make interesting assumption that centralization is more efficient then decentralisation but if that was the case then soviet style economy should be more ef

You make interesting assumption that centralization is more efficient then decentralisation but if that was the case then soviet style economy should be more efficient than capitalist market. In capitalism you effectively have a bunch of corporations with internal command economy that trade with each other. In Anarchism hypothetical companies are much smaller so you don't have in efficiencies stemming from these long chains of command with a lot of beaurocracy. Anarchism didn't have opportunity to create bigger project because the tendency is violently repressed by rulers of the current world. It actually eliminates the lot of losses of efficency of current society like economic rents which are proved to be negative to economy, just currently capitalism has relatively extremely strong violence potential and great propaganda machine. This obviously makes Anarchism a very hard and ambitious project but to me its clear that it would be more efficient in creating societies with higher standard of living than what we have currently. Please consider that it can both have markets and currencies AND decentralised planning depending on what is better in specific situation.