If your opponent offers you a draw, try to work out why he thinks he's worse off.
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[Event "U.S. Championship"]
[Site "?"]
[Date "1942.??.??"]
[Round "?"]
[White "Pilnick, Carl"]
[Black "Reshevsky, Sam"]
[Result "1/2-1/2"]
[Annotator "David Hayes"]
[BlackElo "0"]
[ECO "A00"]
[FEN "8/kp6/p7/P4Qp1/7p/4q3/8/7K b - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1... g4 2. Qf2 { Desparado move. } ( { White can try: } 2. Qxg4 Qe1+ 3. Kh2 Qxa5 4. Qxh4 { Black wins with a large material advantage. } ) 2... Qxf2 { Stalemate. } 1/2-1/2