Mystery describes pickup as a linear process with 3x3 stages.
Three stages of attraction.
Three stages of confort.
Three stages of seduction.

Do all the best pickup artist basically agree on this structure, or do others suggest significantly different structure?

PS. I'm also interested to find out what the structure is regard other aspects of pickup, like inner game and I don't know what more. If there is any thread or any book that gives a really good overview of the topic of pickup then that would be great for me.

There is differing structure and behaviors for each phase, except a3/c1 which are so simular that they might as well be the same phase. You gian mutual complinace, and are building rapport (comfort + trust).

In the seduction phase you are advancing your "move" and she'll reply with LMR, abort and drop the subject completly (go make a sandwitch)
and she'll be drawn back in... or even making a move on you got gat back that feeling of closeness she had previously.

Everyone has their own opinion on this. Natural Game has little structure. Adam Lyons starts with Comfort and progresses differently from there. There are almost as many different ways to pickup girls as there are mPUAs, and they all work in their own way.

In time you'll figure out how and why they work. The important thing is to learn the basics of any one system, then go out and do it. There is no way to learn pickup without doing it.

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Artax
Devil's Advocate

"You're only as young as the women you feel."
"I am the Master of my unspoken words, and the Slave to those words that should have remained unsaid."

Every PUA is different, but for the vast majority the M3 structure is accepted as the courtship model, and how useful it is will depend on your goals and methods/personality. If you are starting out from sheer AFC or wbAFC then the M3 model will likely be best (you could also try Gunwitch if you're game). If you are semi-natural and want to improve your game I would probably go with David X.

All of it depends on you, but if you feel it suits your personality and the flow of things in your chosen pickup venue (clubs, day game, social circle, etc.) then use it as best you can.

As for your other question: there is no real structure for inner game per se, the closest thing we would have to a structure on inner game would be the perception of how inner game affects outer game (any increase in inner game will have a thousand times the increase in outer game).

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Your momma's so fat when she walked past the TV she was going to the kitchen to get cake 'cos she's fat.

For me I found that structure clunky and hard to remember so I made my own, then noticed it had three stages as well (Disarm, connect and close) and was almost identical just suited more to how I work.
This said the lines between various stages can be blurred and you can get straight up weird things happen. I see it like if you got someone to describe a car, every car has wheels, lights and seats but that doesn't mean they are the same.

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I don't have an attraction phase. I just assume attraction. My phases are:

Open -> Comfort -> Pump BT -> Close.

Comfort and Pump BT can be skipped if the girl responds REALLY enthusiastically to the opener (I usually go direct, but sometimes I accidentally open indirectly, and I try to SOI as quickly as possible if I suddenly find myself in an interaction I didn't intentionally enter). Sometimes (more often than people seem to think, actually) girls are trying to get picked up and will toss you loads of IOIs right off the bat. They want you to speed the fuck up. I prefer not to disappoint them.

The M3 model is bullshit. Even people that use it can't do it that way. I'm sorry if you think you do, but you're kidding yourself.

You can't attract someone without first establishing a certain level of comfort, nor can you successfully display attraction for them without that comfort and most people wouldn't want to because they don't feel safe being so open. Eye contact is a form of seduction and it often comes before anything else even though M3 says it comes last.

The whole thing is just silly because no real interaction, nor any manipulative pickup that any PUA does can be that clearly structured. You can try all you like, but that's just not how human interaction works. You're constantly throwing in little bits of seduction and attraction mixed in with establishing comfort. The whole thing advances a a fairly even pace on all three fronts.

If you think I'm full of shit, then you obviously take everything that Mystery says for granted and don't bother to open your eyes and think for yourself about the interactions you are having with people. If that's the case, then you're probably not learning anything, you're just becoming more robotic and practiced, making you even less human. Next time you talk to someone think about everything you are doing and you'll notice that if they aren't comfortable you can't even begin to attract them, thus making the whole thing bullshit.

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"The 'Brick Walls' are there to allow you to prove how badly you want something!" ~ Randy Pausch

~ Rye