not sure about the push/pull or reward/punishment kinda thing cause it sounds like games to me.
Yes in a way you could say these are games, you could say these are techniques as for many of the tips for picking up girls in this forum. Do girls do this? Absolutely. Relationships require work. Whether you do this naturally or not your behaviour needs to adjust if you want to maintain long and lasting relationships.
Push and pull is not new. Push means to give affection, attention. Pull means to give space, indifference. This creates contrast. For example, if you are treated well all the time, you'll probably take it for granted. That is why you DON'T act nice ALL the time. Yes pulling back means giving space as well so resist your natural tendency to see her everyday.
Reward and punishment is common sense. This works with Push and Pull. If she sh1t tests you, is a princess etc of course you DON'T give her attention, you pull back. If she is sweet and cooks for you or gives you a full body massage (my LTRs all do this for me), you reward them with affection. This means she WORKs for your affection with her good behaviour. When she works for you, you are the prize and you are more valuable to her. Not like those other supplicating schmucks out there who fall over themselves because she is so damn hot.
Jerks do this naturally, they pull back a lot such that when they give (even a little) it seems like heaven is shining from his butt. Case in point, another hot girl I know (guys flock) is going out with this guy is totally unromantic. I ask her why that is?
HB9: ... well he is just not like that.
Me: Well what's keeping you around?
HB9: Well he's not totally unromantic, he can be really sweet sometimes
Me: As in? Flowers? Walks on the beach?
HB9: Well... no. Sometimes he'll just come over and hugs me out of the blue
If he was romantic and gave affection ALL the time, would a hug be as sweet and have such impact?
You need to be able to calibrate according depending on the quality of your girl or relationship. Like I say I employ these all the time and collectively has worked very well. They also require some intelligence as with many of the theory and practice here. These work positively if employed, you can be a good guy not a jerk in this way.
Games? Girls will may also do the push and pull on you, in fact my current GF even mentioned it. They may or may not employ this along with their sh1t tests in one form or another (i.e. the pout). Again relationships require work. Maintenance of the relationship and maintenance of your behaviour.
Kaine