Harzel
Adventurer
I'll take this one step further. I had this kind of player at my table who would then go on to find ways to betray or sell out the party. Right down to wanting to make deals with the villains sometimes.
I've never had a player who was out to completely screw the party over, but I did have one who liked to scheme to tweak situations to violate the other players' expectations in surprising (but not lethal) ways, but without leaving any obvious clue that it was his doing. I found this quite entertaining as the DM, but there are some players who, if the true source of the shenanigans is discovered, feel really betrayed and miserable. So I think you have to be careful about allowing this.