No expert here, but if an animal is self aware it would apply the sound of its name to itself?

Dogs seem to have the intelligence ( to a a layman ) of about a two year old human. Especially in the way they behave as part of a group, and they are scocial / pack animals. So surely they must beself aware?

Goat.

Desmond Morris did a wonderful though short book covering this, though my copy is out on long term loan, would be worth a read.

Goat

Dogs learn to associate your calling their name with a reward of some kind. Normally if a stranger calls that name the dog will ignore him.

However, dogs certainly introduce themselves to each other by another means which we should all be grateful is customarily performed by humans by shaking hands or kissing.

Therefore when each dog has made the acquaintance of another, they may associate some kind of name, but I suspect it would not be used in polite company.