Not having a government is the same as handing you society over to robber barons.

Your solution would end with the reintroduction of feudalism as the only way that the rich and powerful can hold on to their wealth without it being plundered by the rich guy next door.

Markets can only be fair if everyone in the market has the same degree of financial power. This can never happen in large scale anarchies. The only chance of it happening is by having strong regulation.