YOU Obedience is what authoritarians expect from others. They are absolutely intolerant of dissenting views, and will view anyone who disagrees with them unfavorably. If you aren't the former, you must be the latter. Much of this stems from their utilitarian ethos. If they can't use or manipulate you, then you are their enemy.
Authoritarians believe there is their way of doing things, and the wrong way of doing things.
The successful authoritarian avoids cooperation and reciprocity whenever possible, because these are the traits of a weakling. If you must appear to cooperate, feign it, but don't take it to heart. Your purpose is to favorably leverage yourself against everyone else, so you must not let any slights go unpunished, lest you be put in a position of weakness relative to your rivals. If someone has the nerve to cross you, get fired up. Positively explode with rage.