Chess Opening Theory/1. e4/1...e5/2. Nf3/2...Nc6/3. Bc4/3...f5

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Rousseau Gambit
 a b c d e f g h 8 8 7 7 6 6 5 5 4 4 3 3 2 2 1 1 a b c d e f g h
Position in Forsyth-Edwards Notation(FEN)

r1bqkbnr/pppp2pp/2n5/4pp2/2B1P3/5N2/PPPP1PPP/RNBQK2R

Rousseau Gambit

3...f5

Black offers the f pawn. White's best response is to simply support and develop with 4.d3. The resulting position is similar to a King's Gambit Declined with Black playing the gambit with less development -- not very comfortable for Black, but White must still play carefully.
Key themes for White at this point are to attack Black's kingside using the light bishop and to resist attempts by black to simplify the position via exchanges. Exchanges involving White's light bishop are particularly suspect.
The best advice for Black is to not play this gambit as it is considered to be refuted.

Theory table

For explanation of theory tables see theory table and for notation see algebraic notation.

1.e4 e5 2.Nf3 Nc6 3.Bc4 f5

4 5 6 7
1 d3
Nf6
O-O
Bc5
Nc3
d6
+/=
2 ...
...
...
fxe4
dxe4
Bc5
+/=
3 d4
fxe4
Nxe5
d5
Bb5
Qd6
+/=
4 exf5
e4
Nd4
Nf6
Nxc6
dxc6
=
5 ...
...
...
Nxd4?
Qh5+
-
+/-