Fish are schooling beings, so they like / need the company of others. And yes, they do form their "pecking orders."
After 'coons or cats killed all but one of my gold fish in the turtle pond, the sole survivor was pretty lost for a couple of months. Finally I got smart and added some 26c PetSmart goldfish, and immediately he perked up and started swimming around more. Earlier this week, I added some of my largest baby koi from the March spawn, and it's fun watching the change in all the fish - the koi are so much more active than goldfish, and more daring. They bring out more activity in the goldfish, too.