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Dirty little maneuver against 1. e4 g6!?

1. e4 g6!? is a very tricky defense. Black will have its dark square bishop on the long diagonal, so you wold like a pawn on c3. On the other hand this prevents the b-knight to be developed to a healthy square. Also if you push d4, black can undermine it by c5. All these problems made me come up with a maneuver ( Ne2 ) which - I admit - the engine does not like very much. But don't forget, we are playing against humans. Against humans there is logic in playing the b-knight like Nc3 -> Ne2?! -> Ng3, secure the dark square diagonal with c3 and never play d4, just play d3 instead. This structure proved itself very well in this game ( the engine is unhappy all the way long, but the opponent could not prove this 0.2, 0.3 pawn advantage the engine gives and I never felt I had a worse position ):

en.lichess.org/LABQac28/white#7
I do not understand the manoeuvre Nb1-c3-e2-g3. Sure, the Knight stands on g3 and delivers the fatal blow Nf5+.
All the time the centre is not closed so black can strike back with ...d5. In the Ruy Lopez also the manoeuvre Nb1-d2-f1-g3 happens, but then the centre is closed.
On move 17 black starts a trade of his fianchetto Bishop at g7 against the undeveloped Bishop at c1, that is tied to the defence of weak pawn b2 on the open b file. Normally it is white who tries hard to exchange Bc1 for Bg7 to expose the weaknesses.
I find it rather unimpressive either. Putting only the e4 in the center, overprotect it a hundred times, hopping around in your own stable with the horses. Sure, one can do that and call it "solid".

What about e4, d3, Nd2, Ne2, Nf3, Ng3? KIA related stuff, which is not that effective agains t...g6 setups. I would prefer playing with g3, but as mentioned before, not that good.

(here are some similarities with the Rossolimo though, Bxc6 and ...bxc6 favours white I think)
It violates some opening principles, hopping that knight around a lot, and not focusing much on the center (specifically the d4 square)... but at the same time it would take most players out of book, and it looks playable.

2. d4 is the best move if you are trying for an advantage

It has some confusion factor that may throw players off guard, but I would not play it often if ever.
a3 was really strange much weakening to b3. Black is probably nearly winning there. Bishop cant move it looks bad.
If you want to play d4 , c3 then an early Bc4 is a good move in order to answer ...Nf6 with Qe2. E.g.

1.e4 g6 2.d4 Bg7 3.Nf3 d6 4.Bc4 Nf6 5.Qe2
or
1.e4 g6 2.d4 d6 3.Bc4 Nf6 4.Qe2

NB
Are there any fans of 1.e4 g6 2.Nc3 Lg7 3.h4!?
@Spirit-of-VOS I consider 3 h4 as premature: White is not yet developed and Black has not castled Kingside o-o yet. If the Black King stays in the centre or castles Queen's side o-o-o then h4 is like a loss of tempo.

3 c3 is a tentative to refute 1...g6. Otherwise it is just easier to play 3 Nc3 like in the Pirc-Ufimtsev defence 1...d6, where Black first forces 3 Nc3 with 2...Nf6 before playing 3...g6.
@sakkozik Bad opening for white. Black had not used the advantages of his position.

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