Some river value bet situations.
 

Hand 1:

Button is 32/22/2 over 121 hands and his W$SD is 36%

Party Poker 2.00/4.00 Hold'em <font color="#0000FF">(10 handed)</font> link

Preflop: Hero is CO with 8[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img].
<font color="#666666">6 folds</font>, <font color="#CC3333">Hero raises</font>, Button calls, <font color="#666666">1 folds</font>, BB calls.

Flop: (6.50 SB) J[img]/images/graemlins/diamond.gif[/img], 6[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, Button calls, BB folds.

Turn: (4.25 BB) A[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets</font>, Button calls.

River: (6.25 BB) 4[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero ?????

Final Pot: 8.25 BB.
__________________________

Hand 2:


UTG+2 is 21/8/2 over 350 hands
MP1 is 47/10/1.44 over 250 hands

Party Poker 2.00/4.00 Hold'em <font color="#0000FF">(10 handed)</font> link

Preflop: Hero is CO with A[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#666666">1 folds</font>, <font color="#CC3333">UTG+1 raises</font>, UTG+2 calls, MP1 calls, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">3 folds</font>, UTG+1 calls, UTG+2 calls, MP1 calls.

Flop: (13.50 SB) 6[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
UTG+1 checks, UTG+2 checks, MP1 checks, <font color="#CC3333">Hero bets</font>, UTG+1 folds, UTG+2 calls, <font color="#CC3333">MP1 raises</font>, <font color="#CC3333">Hero 3-bets</font>, UTG+2 calls, <font color="#CC3333">MP1 caps</font>, Hero calls, UTG+2 calls.

Turn: (12.75 BB) J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
UTG+2 checks, MP1 checks, <font color="#CC3333">Hero bets</font>, UTG+2 calls, MP1 calls.

River: (15.75 BB) 7[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
UTG+2 checks, MP1 checks, Hero ?????
Final Pot: 15.75 BB.
___________________________-

Hand 3:

Villain is 16/10/3 over 4500 hands

Party Poker 2.00/4.00 Hold'em <font color="#0000FF">(10 handed)</font> link

Preflop: Hero is Button with 9[img]/images/graemlins/spade.gif[/img], 9[img]/images/graemlins/heart.gif[/img].
<font color="#666666">5 folds</font>, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 folds</font>, <font color="#CC3333">BB 3-bets</font>, <font color="#CC3333">Hero caps</font>, BB calls.

Flop: (8.50 SB) Q[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/heart.gif[/img], 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets</font>, Hero calls.

Turn: (5.25 BB) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets</font>, Hero calls.

River: (7.25 BB) 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, Hero ?????

Final Pot: 7.25 BB.

Re: Some river value bet situations.
 

Hand 1: check-call, try to induce a bluff with a busted flush.
Hand 2: check behind to avoid having to wash the puke out of your mouth when on of them 3-towns you.
Hand 3: is AK firing 2 barrels, here? Is KK folding? Check behind.

Re: Some river value bet situations.
 

1. Check-call
2. Check behind
3. I like betting, I can't imagine someone with that AF would check the river with a Q or T in a blind steal situation. He might call with A high though.

Re: Some river value bet situations.
 

Hand 1: check/call.
There are only a few hands that are calling you here that you beat, but there are a lot of hands that bluff at you. In fact, many of the hands that you beat are probably betting at you too (since they're mostly PPs and think your check means you missed a draw).

Hand 2: bet.
No draws on the flop came in. It doesn't make sense that someone had a big hand on the flop and then checked the turn (and didn't c/r). You're ahead here at least 50% of the time.

Hand 3: Bet, but meh.
About 90% of the time, villain has 2 broadways that didn't hit the board. He's only calling you with his broadways a little more often than he's calling you with Tx or JJ.