You can have authority in anarchy (doesn't have to be central). The only difference is it's not coercive, people can choose to participate or not, and let's say they have to pay to participate. Why wouldn't that scale? 

 Then that's not anarchy.  

 What is it then 

 If you are not the center, then you have no authority.  

 Have you ever heard of big companies? 

 You mean companies? With CEOs? That would be the central authority.  

 How the heck are they central? And CEOs is more of a corporation thing, not a private company thing. Corporations are the socialist arm of the state, always have been.