When starting an essay, a proper hook to engage your audience can be the use of yes/no questions related to the topic you want to introduce. In this case, one of the ways to start writing about authority could be the following:
Have you ever been subordinated to another person? Do you have exclusive power or control over a particular matter or group of people? If so, you can be under authority, or represent such authority yourself. These are differents points of view over such subject, which is known as the privilege of primacy that is recognized by influence. Such privilege is conceived on its own motion, and can be assigned or designated.