I wouldn't imagine this coming up that much in higher stakes games, but I run into this often enough in $10NL to ask:
How do you size a value bet in position when villain min bets on the river? Do you bet in relation to the pot or the bet? Has anyone come across this line and been re-raised?

Example:

Full Tilt Poker
No Limit Holdem Ring game
Blinds: $0.05/$0.10
5 players
Converter

Stack sizes:
UTG: $12.30
CO: $8.30
Hero: $9.65
SB: $4.95
BB: $2.70

Pre-flop: (5 players) Hero is Button with A K
UTG folds, CO raises to $0.2,Hero raises to $0.75, 2 folds, CO calls.

Flop: 5 J K ($1.65, 2 players)
CO checks, Hero bets $1.65, CO calls.

Turn: 9 ($4.95, 2 players)
CO checks, Hero bets $2, CO calls.

River: A ($8.95, 2 players)
CO bets $0.1, Hero ???

Check my line here, too...bet more on the turn?