Great articles that Troy mentioned.
One of the main things here is control. A man who is chasing a girl is a guy pursuing a girl that isn't his; she's acting aloof, cold, distant, uninterested. She isn't giving him what he wants, and the man is not in control, she is the one in control. A man who's chasing is needy, confused, desperate, and is afraid of losing the girl. This is not attractive to women. It's basically telling her you don't have many other options and that you are needy/desperate to get some pussy. It's a bit of a mindset thing too. A man who chases girls frequently thinks, "If I get her, she will be MINE!" as if a girl is something to be won, earned, acquired, and kept. It's like a state of infatuation.
Basically, in order to persist you really just need to act now versus later. When you get a chance with a girl, it is often times your only chance. Realize this and act accordingly. A lot of the problems with chasing come with not persisting correctly the first go round. Most hookups happen very quickly. If you spend time working a girl and trying to win her over, it usually falls flat. For example, a grand total of 0 of my hookups happened where I had known the chick well before or even had one extended conversation. Most of my game has been at high school and now college parties (but it applies to all areas), and they've all been with girls I either just met that night or only kind of knew through mutual friends until finally really meeting them that night. Some times it takes a bit longer, but understand you usually get one chance or one window with a girl, and take advantage of that opportunity.
Also, lead women and stay focused. You are the man, so you need to be in control. Have a plan, know where you're going, and take the necessary steps. Make sure she's feeling good, relate to her and her to you, and keep both of you on point and moving towards where you're going.
Be prepared to walk away if you have to. A man who chases gets clingy and needy and attached. Realize that there are billions of women out there, and be prepared to walk away from a girl if she's not interested. You need to be ready to move on at the drop of a hat. This goes back to control. This way, she no longer controls you and your thinking, because you won't be scared of doing or saying something that insults her or makes you lose her. You can freely be assertive and dominant. If she's not going along with you, doesn't matter, on to the next one.
I'll try to answer your questions generally and to the point, because I wrote a lot above.
1. If you're meeting with a girl, you just need to lead her. Move fast. It's now or never, buddy. Stick to your plan and move her along. Be decisive and be a leader. Don't ask her what she wants to do or tell her you'll do whatever she wants to do, explain to her what you two will be doing. Constantly be moving her forward towards that endpoint.
2. If she keeps telling you that she's busy and/or doesn't respond at all, NEXT her. At this point you are chasing and she's either keeping you as an orbiter or is not interested at all. Move on to the next girl who will be more than happy to spend time with you. A lot of things that are seen as persisting in person are seen as chasing over the phone/text. If she's unwilling to meet with you, you can't force her to.
3. Don't try to get a girl back. I guess it depends on what you mean by "get back," but typically it's best to just move on to another girl. Again, trying to win a girl back tends to be chasey because you're needy/desperate for that girl instead of going to find a new one. Like you have no other options.
4. Don't play women's games.
-Pato
