The with e3 is a variation of the Queen's Indian Defense, catalogued as ECO E14. The line runs 1. d4 Nf6 2. c4 e6 3. Nf3 Bb4+ 4. Nbd2 b6 5. a3 Bxd2+ 6. Qxd2 Bb7 7. e3, reaching the position shown below after 13 half-moves.
White holds the centre with pawns on d4. Development is level at two minor pieces each. It is Black to move after seven moves. White has the bishop pair.
On the Queen's Indian Defense generally: A flexible defense to 1.d4 where Black fianchettoes the queen's bishop to control e4.
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The with e3 goes 1. d4 Nf6 2. c4 e6 3. Nf3 Bb4+ 4. Nbd2 b6 5. a3 Bxd2+ 6. Qxd2 Bb7 7. e3. It is a variation of the Queen's Indian Defense and is catalogued as ECO E14.
The with e3 is ECO E14. ECO codes group openings by their move order, so nearby codes cover closely related lines of the Queen's Indian Defense.
Stockfish evaluates the position after 1. d4 Nf6 2. c4 e6 3. Nf3 Bb4+ 4. Nbd2 b6 5. a3 Bxd2+ 6. Qxd2 Bb7 7. e3 at +0.35 at depth 18, which is a slight pull for White, within normal opening margins. Engine evaluation is only a starting point — at club level the practical value of a line is mostly about whether you know its plans better than your opponent does.
White holds the centre with pawns on d4. Development is level at two minor pieces each. It is Black to move. White has the bishop pair.