What would of happened if Anakin defeated Obi-Wan in Episode III?

Yes, I know in Episode III the game they have an alternate ending if you beat Obi-Wan with Anakin but would he really turn on his master? Just because he did it once doesn't mean he'll do it agian.

If he didnt turn on Palpatine then he would basicilly be a right hand man for the rest of his life. But if he did then he would rule the galaxy with almost no resistince.

Considering that he lost everying (his best friend, his wife, and he thinks his kid) what would he do?

If he did turn on Palpatine then the Clone Troopers would remain loyal to him since they serve Palpatine AND him and since Palpatine's dead they only have one master.

So the question is would Anakin remain loyal to Palpatine or create his own Empire?

MTFBWY