name the principle of government that believes a governments authority is created by and for its citizens

It's the consent of the governed

Explanation:

The phrase consent of the governed refers to the idea that a government's legitimacy and moral right to use state power is only justified and lawful when consented to by the people or society over which that political power is exercised.

Democracy.

Explanation:

Democracy is "ran by the people" as said by many people. With the citizens in charge of electing higher officials. Even the courts are ran by citizens (Jury.)

It could also be Aristocracy. But I'm certain it's Democracy.