I agree with Dan. Both my greys will stay on my shoulders as long as I let them. They just want to hang out and be with me.
And when I decide it's time to get down, they do love to run onto the other side to escape my step up command. When that happens, I bend down to the back of the couch, and tell them to "step down" , they then realize I mean business and will get off with no bites! :cheer:
I do not think dominance is an issue with shoulder birds. B)