I haven't had that problem with goats so have no really direct advice. But I did make sure that I had more that one place to put hay and that those places were placed so that the goats had their backs to each other while eating from the hay racks. The theory is that they should never have to compete with each other to have a spot to eat and that when eating, they should not be in each others line of sight. The dominate goat just pushes the other from where she is eating and that goat goes to the feed the other doe left. That has been my design with my horses and, since it worked well with them, I applied to the goats. So far so good.