Well, it depends on where the moral authority comes from... and whether you agree with it or not. You might call it different things, depending on those or other factors. Could be a Theocracy if the moral authority was religious... a Dictatorship if it was one person making the moral calls. Democracy if the moral calls are made by everyone voting... etc. I don't think there is a separate word that means exactly that.
A government ruled by or subject to religious authority.
one ruled by a dictator who has complete authority
A theocracy is technically a government ruled by God, and his authorities (the religious leaders) interpreting his word and administrating it for him.An ecclesiocracy is a government in which religious leaders assume a leading role in the state, but do not claim that they are speaking for God.
Democratic authority was established by the Mayflower Compact.
A government ruled by a religious leader is called a theocracy. In a theocracy, the leader is believed to have divine authority and religious laws often dictate the governance and legal system of the country. This system can be seen in countries like Iran and Vatican City.
A secular government.
autocratic government
Theocracy is a form of government ruled by religious authority. (i.e. priests)
empire
A matriarchy.
A plutocracy is a government ruled by the rich.
It's called Aristocracy