The form of authoritarian government in which power is handed down through family lines and rulers stay in power for life is the monarchy.
Explanation:
The monarchy is a form of state (although it is often defined as a form of government) in which a group integrated into the state, usually a family that represents a dynasty, embodies the national identity of the country and its head, the monarch, exercises the role of head of state. The political power of the monarch can vary from the purely symbolic (parliamentary monarchy), to be integrated into the form of government: with considerable but restricted executive powers (constitutional monarchy), to even the completely autocratic (absolute monarchy).
