The BB developers have described the GE having players taking looks at the basket and deciding to shoot or not.
I suspect that the ball is just more or less randomly passed around, with players having a probabilistic chance of getting the ball at a particular position, rather than trying to track actual positions of players. This would be consistent with the rebounding, where players who shoot 3 pointers sometimes not only get their own rebound, but tip it in.
The tactics used likely have an influence on the probability distribution. For example, if you use Look Inside, this may increase the chance of (1) a player receiving the ball closer to the basket; and (2) taking a shot when he receives the ball inside.
If a player is a good passer, he will be noted for passes, and be eligible for assists if a basket is scored. This could mean that if a player is a good passer, he may be more likely to not shoot. But it could mean that the player who receives the pass is more likely to shoot. Whether a good passer tries to direct the ball to good shooters is unknown.