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First of all, let's clarify some of the names of these openings and point out some transpositions. After 1.e4 e5 2.Nf3 Nc6 3.d4 exd4, - 4.Nxd4 is the Scotch Game - 4.Bc4 is the Scotch Gambit. After 4...Nf6 the position is the same as one from the the Two Knights' Defence after 1.e4 e5 2.Nf3 Nc6 3.Bc4 Nf6 4.d4 exd4, but via the Scotch move order, Black has teh option to play 4...Bc5 - 4.c3 is the Göring Gambit 1.e4 e5 2.d4 exd4 3.Qxd4 is usually known as the Centre Game. After 3...Nc6, a common response is 4.Qe3, with the intention of a later Qg3 to pressure the Black kingside. White will follow up with Nc3, Bd2 and long castling. This was briefly popular in the 1990s, but there are several reliable ways for Black to equalise, usually involving the move ...d5 at some point. The problem with 4.Qd3 is that it risks making ...d5 easier to achieve, as after exd5 Black will be able to play ...Nb4, gainign a tempo on the queen before recapturing. However, 4.Qd1 and 4.Qa4 are respectable alternatives, albeit not promising White anything more than equality. All in all, I think Black's life is pretty easy in the Centre Game, as his pieces come rapidly to good positions. If instead of 3.Qxd4, White plays 3.c3 dxc3 4.Bc4, that is the Danish Gambit. Play would probably transpose to the Göring Gambit if White played instead 4.Nxc3, or to the Göring Gambit Declined if Black played 3...d5 instead of taking on c3. Danish Dynamite is an interesting piece of work which I bought mainly for entertainment - but it is a serious study of the Danish/Göring complex (and a bit more besides). It seems to me the authors are arguing that White can maintain equality in the main lines and gets serious practical chances if Black deviates. I am usually a Réti and 1.d4 player, but I was thinking of playing a few 1.e4 games next season to try and sharpen up my play, and wanted a slightly daring weapon which was still essentially sound. I desperately wanted to be convinced, but I'm afraid there were too many positions given as "unclear" or "with compensation" where the compensation seemed to me to be fizzling out, and I got the impression that if I tried either the Danish or the Göring against any halfway decent opposition, I would end up grovelling for draws in pawn-down endgames. Also, the Declined lines with 1.e4 e5 2.d4 exd4 3.c3 d5 or 3.Nf3 Nc6 4.c3 d5 are quite easy to learn and play and give Black complete equality with no real risk at all. However, those who are less risk-averse than me may be happy to take this chance!
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