There's something out there called the Negreanu strategy where u minbet every street until your opponent plays back at u. This guy wasn't going it right. 
Full Tilt Poker $2 + $0.15 Heads Up No Limit Hold'em Tournament - t10/t20 Blinds - 2 players
BB: t1960
Hero (BTN/SB): t1040
Pre Flop: (t30) Hero is BTN/SB with 5♣ 6♥
Hero raises to t40, BB raises to t60, Hero calls t20
Flop: (t120) 3♠ 4♦ 8♣ (2 players)
BB bets t20, Hero calls t20
Turn: (t160) 2♠ (2 players)
BB bets t20, Hero raises to t40, BB raises to t60, Hero raises to t80, BB raises to t100, Hero raises to t120, BB raises to t140, Hero raises to t160, BB raises to t180, Hero raises to t200, BB raises to t220, Hero raises to t240, BB raises to t260, Hero raises to t280, BB raises to t300, Hero raises to t320, BB raises to t340, Hero raises to t360, BB raises to t380, Hero raises to t400, BB raises to t420, Hero raises to t440, BB raises to t460, Hero raises to t480, BB raises to t500, Hero raises to t520, BB raises to t540, Hero raises to t560, BB raises to t580, Hero raises to t600, BB raises to t620, Hero raises to t640, BB raises to t660, Hero raises to t680, BB raises to t700, Hero raises to t720, BB raises to t740, Hero raises to t760, BB raises to t780, Hero raises to t800, BB raises to t820, Hero raises to t840, BB raises to t860, Hero raises to t880, BB raises to t900, Hero raises to t920, BB raises to t940, Hero raises to t960 all in, BB calls t20
River: (t2080) K♣ (2 players - 1 is all in)
Final Pot: t2080
BB shows 4♠ 9♠ (a pair of Fours)
Hero shows 5♣ 6♥ (a straight, Six high)
Hero wins t2080