If you don't want to play childish, games, be above them. You can't always take these things so personally and to the heart......It's a mistake to project your traits onto other people, I may be intelligent, perceptive, aware, reliable, considerate, but many people aren't, or those traits aren't as defined....
Also, the sheer amount of activity on many women's phones is a factor. If you are getting multiple emails, texts, FB, IG snapchat updates and alerts every hour, a text may get 'lost' in the shuffle, it's not an excuse, or a justification, just reality. It's often not as coldly impersonal as some believe, more of an oversight then a slight.
And, of course, getting a text three days or a week later is hilarious, and totally not in line with any reality any of us live in, where you are too busy. No, it just wasn't important, but why should you care? If I text a girl Tuesday, to come over, or go out, whatever, and she gets back to me 5 days later, and is down, why do I care? Given her relative inconsiderate actions, I am in a position to be petty, or whatever, but why? Don't invest too much into people, esp. if you just want to go out or sleep with them, whatever, it doesn't have to be a textbook romance. Just hit someone else up, and they'll (first girls you texted) in all likeliness get back to you, sooner or later. Blocking people, not responding, is just petty and counterproductive.