I agree in my mind with idea that he needs to feel validated by having you """"Chase"""" him. The fact that he is always running off, waiting for you to run after him to make things better.... This is not a trait of a mature man.
It's not okay to make you feel like you are always the one to make amends, and give him reassurance. It almost seems like a game to him to see how far he can push you without you leaving.
For him to refuse to return your texts/calls for so long, and then finally respond as though you are annoying him is childish and just plain rude. Is this really your ideal man?
You are absolutely right is to not text him in a week and see what happens, but if I were you? I wouldn't. Not at all. You didn't do anything wrong, yet you have to play his I Love You I Love You Not game? I think not.
It's not fair to you to always be playing by his rules, and being manipulated into catering to him whenever he is moody.
When he contacts you again, be firm and let him know that you need more stability in your relationship and he can't be playing Hot and Cold at his whim. If he doesn't contact you? Let him leave. It's truly his loss, not yours.
My best girlfriend had this same problem too, she was very impatient!
She tried tried and tried to chase him back, but she just couldn't do it.I felt so bad for her. I mean, how could I help her to save that relationship? So I took it upon myself and started digging.
I FINALLY found some method that looked interesting.My girlfriend actually ended up taking this method and lets just say this...She has been successfully starting to find the way out . Amazing right?. I would seriously suggest you to try it.
She loved that method.In fact she loved it so much he wrote a review about on her blog which later spread all over the internet!
Anyway here is her method review
Hope this helps you too, just like it helped her.