The real problem with any form of anarchy is that even if you don't want a government, one is going to be forced on you. In a state of anarchy, people will band together into groups, and at some point one of those groups will have more capacity for force than another. It will begin subjugating other groups and set itself up as a government over those people, extracting resources from them in exchange for not killing them and protecting them from any other imperial groups that may wish to do the same. This is what happened in actual history as tribes which had some form of advantage over others set up empires and kingdoms through conquest. With no pre-existing government in place to protect you, nothing will prevent this from happening.

Also, competing force-wielders likewise existed in history, and still do today. They are known as kings, emperors and warlords.