minarchist - no dictionary results
http://dictionary.reference.com/browse/minarchist
anarcho-capitalism - no dictionary results
I suppose in the course of human history, if any of that were actually possible, it would have happened. That's probably why governments form: It is human nautre for them to occur. Governments by their very nature (in keeping with human nature) tend to want to dominate, side with big business, etc.
Why? It sums up what would actually happen given your preferences for society: a feudal state. What are naturals rights? Any thing you want them to be. http://en.wikipedia.org/wiki/Law_of_Somalia you say potato, I say potato.
Yawn