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I think I am more thinking of before courtship. I was just giving a different spin on it to say that there are ways of going about it and the thrill that comes with it.
But, if a woman flirts back and in a way that's actually measurable then she's not playing hard to get really. It's when a woman is too coy and too subtle that it not only gets frustrating, but the perceived reward just isn't there.
See, I think you're setting the definition of the word "chase" to a reasonable and attainable goal. You should just call it normal human interaction with a member of the opposite sex .