Gods and Demi-gods 3 - Tricking a god

So when I set out to write a blurb on gods, I was thinking about restricting a god’s knowledge of the world. I mean - Are they all omniscient (all seeing)? Odin had to give up an eye to become all seeing, and he was the only Norse guy with that power. Can gods only be “looking” in one direction at a time? If so, could a mortal create such a fuss in one area of the world that the god shifted his or her attention to that area and missed the fact that the mortal was stealing from them on the other side of the world?
Depending on how you handle the gods, maybe someone praying on the burglary side of the world could alert the god, though it might be too late. Maybe the god has a flock of angels or demons who are keeping tabs on things while his attention is diverted, but again, will the follower be able to warn the god in time? I love this concept - tricking a god. I mentioned the diverting of altar sacrifices before. Clearly that one stuck with me too. What about gods forming false alliances with each other? Wouldn’t their followers then form alliances too? Would the priests feel they had been misled by their gods if the joined with other, just to hear their god betrayed the other god? I guess those are the costs of worshipping an evil or untrustworthy god.
Just remember that gods typically have better or at least longer memories than mortals. They might be pretty vengeful if they’ve been tricked in an important way; oh come on, they’re going to be vengeful no matter how they were tricked. They might not be in a position to do anything about it, but they’re going to be mad. That should be fun too!