Which one of these is correct?

In an interview, you usually wait to be asked.

Then, you normally wouldn't say a whole sentence, but just state your name.

But, "My name is Peter" is fine.

Neither "myself is Peter" nor "I am Peter" should be used.

Hey, Bubu! My name is Yogi. I've got a pic-a-nic basket!

I say: "My name is David."

You could say it Cave Man style "Hu me Peter"

If it's widely used then it is correct, for the InE dialect. There's no other way to determine what is correct for any dialect save for how people use language in that dialect.

"I am Peter" sounds too formal/strict/angry/... depending on the situation. To sound friendly we normally use contracted verbs. This doesn't of course exclude the possibility that it might be used in a formal manner.

"My name is [____]" is fine, again depending on the circumstances.

A: Hello, I'm [___]. And you?

B: My name is [___]. / I'm [__].

It does not seems likely that any cave man ever said that.





David