KK - overcard - river bet?

[topspin]

This is a pretty common situation, where have a big pocket pair but an overcard hits. After no one shows any aggression, do you bet the river, or check through worrying about a weak ace?

Paradise Poker 0.25/0.50 Hold'em (9 handed)

Preflop: Hero is CO with K/images/graemlins/club.gif, K/images/graemlins/spade.gif.
UTG calls, UTG+1 calls, MP1 calls, MP2 calls, <font color="666666">1 fold</font>, <font color="CC3333">Hero raises</font>, <font color="666666">1 fold</font>, SB calls, <font color="666666">1 fold</font>, UTG calls, UTG+1 calls, MP1 calls, MP2 calls.

Flop: (13 SB) A/images/graemlins/club.gif, 4/images/graemlins/heart.gif, 8/images/graemlins/club.gif <font color="blue">(6 players)</font>
SB checks, UTG checks, UTG+1 checks, MP1 checks, MP2 checks, <font color="CC3333">Hero bets</font>, SB folds, UTG calls, UTG+1 folds, MP1 calls, MP2 calls.

Turn: (8.50 BB) 4/images/graemlins/diamond.gif <font color="blue">(4 players)</font>
UTG checks, MP1 checks, MP2 checks, <font color="CC3333">Hero bets</font>, UTG calls, MP1 calls, MP2 calls.

River: (12.50 BB) J/images/graemlins/spade.gif <font color="blue">(4 players)</font>
UTG checks, MP1 checks, MP2 checks, [b]Hero ...

[SlantNGo]

I find myself in this situation a lot too. I would say check through here. An 8, ace or 4 will call or raise. A flush draw or gutshot will fold. If no 4 on the turn I will gladly value bet.

[A_C_Slater]

Since there's 3 opponents left I would check. If it was heads up I would bet. or maybe even if there was 2 left if you know them to be calling stations. Maybe my thinking is weak though and it's worth a value bet here into three, I honestly don't know either action is a close call I feel.