A society without constituted authority is called a

A society without constituted authority is called a stateless society. It is a type of society where there is no recognized central government or political authority that has the power to enforce laws or maintain order. In a stateless society, decisions are often made through consensus-building, and social norms and traditions play a significant role in regulating behavior. It is also sometimes referred to as an "anarchic society," but it's important to note that this doesn't necessarily mean that chaos or violence are prevalent in such societies.