Genre Savvy: Everything considered, he does figure out how to prepare for the arrival of Chigurh, and outsmarts him twice at the motels and hotel, but in the end, his Genre Savviness failed him when Chigurh made the offer.
The Hunter: Apparently lives by hunting pronghorn.
Jerkass: He is not a sympathetic person, and would be considered the villain against anyone but Anton Chigurh.
A Mexican hitman, and the primary antagonist of the story. He is tasked with obtaining the money lost in the shootout, but he goes rogue, and starts killing everyone in his pursuit of the money.
Ax-Crazy: A subversion. Even if they don't make sense to a normal person, Chigurh has his reasons, and he's more coldly logical than crazy. He does, however, have one of the primary traits of a true Ax-Crazy, which is the immense amount of danger involved in even speaking to him.
Disproportionate Retribution: Inflicted by him on the shop owner early on. He tries conversing with Chigurh, who responds by having him call a coin toss for his life. The salesman guesses correct, but still....
Establishing Character Moment: The first scene of the movie has him strangling a deputy with his handcuffs, and then killing a random driver with his air canister. Also, when he buys gas at a highway store, he makes the coin toss on the salesman for trying to small-talk with him.
Evil Is Petty: As Carson puts it, he doesn't have a sense of humor. He is willing to belittle and possibly kill a gas station attendant for trying to make small talk with him. This only makes him more terrifying.
For the Evulz: Either this or It Amused Me. The book describes in the opening, how he allows himself to be arrested, just in order to see if he can escape with his supreme act of will. He can.
Genius Bruiser: Just another reason to be terrified of him, he is incredibly intelligent, planning tactical entries into rooms before doing them and able to patch up a wound from a shotgun blast. All of that mixed with being one of the most dangerous and unstoppable assassins in movie history.
I Gave My Word: Villainous case. He "promises" Moss that Carla Jean will be hurt if he does not comply. He does not, and is killed, and Chigurh retrieves the money, and he still kills Carla Jean just because he gave his word to do so.
Kick the Dog: Frequently. Notably, making the coin toss on the salesman for trying to make small talk with him, strangling the deputy to see if he could, killing the driver, and eventually killing Carla Jean.
The Spook: Absolutely nothing is known about him, except for, maybe, his name.
Villainous Breakdown: The closest he gets to this, and justice in any way in general, is when Carla Jean refuses to call his coin toss, completely wrecking his moral conception of the world. He kills her anyway.
Despair Event Horizon: After the death of Moss, and presumably Carla Jean, although we don't see him react to it, he retires finding himself incapable of reacting to all the pointless violence around him.
Ain't Too Proud to Beg: He doesn't resort to full-fledged begging, but at the hands of Chigurh, he, with increasing desperation tries to convince him to let him live, as he knows where the money is, and that he can give extra money to Chigurh. It doesn't help.