Call and response.
If you use this blues concept in your accompaniment you might end up playing something like this.

It uses the I chord in different forms and places on the neck.

On the IV and V chords you could do something similar.

You could even play a different chord on every beat.

Listen to someone like Freddy Green from the Count Basie Band pull this off.
More of a jazzy way of playing accompaniment though.

(Example 3 and 4 are in the Swing- and Jump Blues Guitar e-book)