if that happens while we have government, then what do we need any change for? I deal with people voluntarily or peacefully, without guns! all the time, but they all know there is a legal system out there. Of course I prefer dealing with private persons voluntarily. Of course Iprefer buying things I want or need instead of paying to get my car smog checked by a govt agency.
I don't agree with your definition of anarchy. The definition of anarchy is an absence of government. Due to common perceptions of what that would entail, it has developed a more commonly understood definition something akin to chaos.
Your definition is merely a fantasy about how anarchy would be utopia.
"Two things are infinite: the universe and human stupidity; and I'm not sure about the the universe."-- Albert Einstein