Who's the Alpha Dog?

In the 3 year absence of me blogging, I lost my cat to old age and had to put my German Shepherd to sleep. I found a 16 week old puppy wondering the streets in 2007 (so I took her in). She is part Chow and part Border Collie - lots of energy and weighs 60 lbs. I got her while Chance was still with me and I thought she might help him to feel young. But his spinal issue became so bad that I had no choice but to put him out of his pain. So that Lucky (the new puppy) would not be alone during the day (while I was at work - when I worked) I decided to adopt another dog.

After looking into a German Shepherd rescue group, I adopted a 5 month old male Shepherd mix in 2008. His ears flop over and he is taller than most shepherds but very smart and a 100 lb big baby.

Now when these two play you better look out. Max (the boy) grabs Lucky by the neck. Lucky gets out of this chock hold and bites his checks...both run in circles around the coffee table and jump up in an attempt to get the upper hand on the other.

When it gets to wild I try to calm the dogs down by shouting STOP IT! Sometimes I think both dogs suddenly become deaf. I'll get between them and Max will stop but Lucky will go around me and still attack Max. Once I get their attention and they calm down I resume my activities and they go about their way. This happens on average 5-6 times a day.

I wonder which one is the alpha dog? Its obviously not me.