Blake the dog claims to be the alpha male in his household, which consists only of himself and his "Owner". The Owner spends a lot of his time learning to act like the alpha male, but does not do well.
In my own household my husband, James, likes to say about himself "I am fourth". This little joke refers to his name (James Kezar IV) but mostly to the fact that he knows his place in the household line up. He wisely understands that I am first. My daughter is second and the (female) dog, Clover, is third. I don't understand what the problem is though - there is no question that he is the alpha male. He also clearly rates above the rabbit and our two fish.