How not to Play AK?

[Pedigree]

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Hand #2

After check raising me and then capping my flop re-raise I felt it was likely I was up against either AA or KK, but not certain. So I checked behind on the turn assuming he was trying the same ploy. He checked again on the river and I checked behind again. The river is a question mark.


Party Poker 0.50/1 Hold'em (10 handed) converter

Preflop: Hero is CO with K[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">UTG+1 raises</font>, UTG+2 calls, <font color="#666666">3 folds</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">2 folds</font>, BB calls, <font color="#CC3333">UTG+1 caps</font>, UTG+2 calls, Hero calls, BB calls.

Flop: (16.50 SB) K[img]/images/graemlins/diamond.gif[/img], 4[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, UTG+1 checks, UTG+2 checks, <font color="#CC3333">Hero bets</font>, BB calls, <font color="#CC3333">UTG+1 raises</font>, UTG+2 folds, <font color="#CC3333">Hero 3-bets</font>, BB calls, <font color="#CC3333">UTG+1 caps</font>, Hero calls, BB calls.

Turn: (14.25 BB) 7[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, UTG+1 checks, Hero checks.

River: (14.25 BB) Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, UTG+1 checks, Hero checks.

Final Pot: 14.25 BB


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I'd like to talk about this hand and specifically why so many are advising a river bet. Why? Thanks...