2. ... c6 doesn't seem to work: 2. ... c6, 3. Bxc6 Nxc6 (dxc6 is worse: 3. ... dxc6, 4. Qg4 Qxd2, 5. Bxd2 Bxg4, 5. Kd1 white's winning), 4. b4 Nxb4, 5. a4 Nxc2, 6. Qxc2 and I often play Qc7 here, maybe there's another better move. 6. ... Qc7 is still a hard game for black: 7. Qxc7 (7. Qxh7 is an alternative, but in my opinion now black's position is not so bad as before. 7. Qxh7 Rxh7 now white's attacking is over, black's queen will soon be off the board after Qxc1-Qxd2, black's h-file rook will also soon be off the board after Rxh2.) 7. ... a6 ( Any Qxa7 or Qxa5 opening a-file moves will be a disaster for black: 7. ... Kd8, 8. Qxa7 Rxa7, 9. Na3 Rxa4, 10. Nb1 Rxa1 now black's losing.) 8. Qxc8 (8. Qxd7 will be the ending of white's attacking: 8. ... Kxd7) Rxc8 and now I don't think it's a good position for black.
Is this a forced win for white in giveaway variant?
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6. ... Bd5 is also hopeless: 7. Bxg8 Bxg8 (7. ... Bxa2 leads to lose: 8. Rxa2 Rxg8, 9. Rxa7 Rxa7, 10. Qg4 g1 knight pinning will be devastating.) 8. c4 Bxc4, 9. Qh5 Bxa2, 10. Qxh7 Rxh7 (Bxb1 invites Rxb1-Rxh7 and black's losing.) , 11. Rxa2 Rxh2, 12. Rxa7 Rxf2, 13. Rxa8 Rxd2, 14. Rxb8 Rxb2, 15. Rxf8 Rxb1 now white is clearly winning.
A forced opening for white in giveaway is well-known for players who played giveaway for a long time. 1. e3 opening is a strong and potentially forced move. A common variation for this game is 1. ... b5 and it's leading to a fixed position: 1. e3 b5, 2. Bxb5 Bb7, 3. Bxd7 Bxg2, 4. Bxe8 Bxh1, 5. Bxf7 Qxd2, 6. Kxd2 Bf3, 7. Bxg8 Rxg8, 8. Qxf3 Nd7, 9. Qxf8 Nxf8 10. e4 and black seems to have a worse position. I tried to analyze some moves in this position as black and tried to find the best move for black. And I didn't find a good move for black, whick means 1. e3 is a forced win for white. Is this deduction right or do I miss any moves in or after this opening?