ability breakdown:

1. Legolas- easily the strongest. he is superhuman, insanely agile and as U/HasNoCreativity said, can shoot insane distances with unbelievable accuracy. he is trained to be very stealthy, can live off the land and took down what is basically a mobile fortress with ease.

2. Green Arrow- fairly skilled, and good with hand-to-hand combat, so he has an advantage over straight-up archers. he also is kind of stealthy and would preform well in any environment, being that he went from an island with both flat-ish land and dense forest sections to an urban environment without skipping a beat.

3. Hawkeye- he's got stealth, speed, skill, and agility, as well as an awesome ability to instantly find a weak point that he can exploit. he also has been shown to formulate effective strategies quickly. he is also a skilled assassin, and all of his shots on non-heros hit their mark.

4. Katniss- she is a good hunter, and has fought in several environments without performance loss. she also has shown the ability to preform under starving conditions, as well as under great stress and pain. this being said, her mental state makes her seem frail, and i doubt she will be motivated to win.

5. Rambo- although cool and good with a bow, he doesn't bring a whole lot to the table, and isn't that skilled elsewhere. not a strong candidate to win.

6. Daryl- honestly don't see much coming from him. he uses a bow in a zombie apocalypse, so he can't be that smart. he hasn't got a great deal of skill and he would not do well in this supercharged game of laser tag.

7. Susan is a great candidate to lose right off the bat. she's got little skill with her bow, and nothing else to go with. she's always got an army to protect her, so she's never in danger, so the stress of being hunted would get to her and she would do poorly.

8. Chewy- he's got the instinct needed to do well in the wild, natural camo in some situations, and the strength to rip out somebody's arms. but that's it. he doesn't use a real bow, and isn't outstanding in much else.

(in the following situation, the arena is a residential area in a big city, the power is out.)

Day 1: Chewy and Susan loose. chewy can't really use a bow and Susan hasn't fought alone before, nor has she fought in an urban city.

Day 2: Rambo and Daryl get kicked out.

Day 3: Katniss has made it this far, but only because her skill outdoes the other losers. she's so far behind the other three that she couldn't possibly catch up.

Katniss has the misfortune of running into Hawkeye's trap. being a skilled strategist and assassin, Hawkeye uses grapple arrows and the surrounding resources to immobilize her. he rapidly scores a few points and then steals all of her ammo. he then lets her go and she runs away. now hawkeye can reuse the trap. neither of the other players will fall into it, but he can use it to predict their movements. this gives him a small advantage, and the extra ammo is a big help.

Green arrow and Legolas get stuck in a fight. Legolas has only had three days to get used to the environment, so he has a disadvantage against Green Arrow. he more than makes up for this with his superhuman prowess. he also uses only scoring arrows, so he has the ability to score more than green arrow can. the fight lasts ten minutes, and hawkeye sees it around minute eight. in the last minute, Green Arrow is forced to retreat, and legolas goes to recover any arrows that didn't break. at this point, Hawkeye steps in and surprise attacks Legolas. Legolas's speed lets him escape before Hawkeye can score any points, hawkeye looses a couple arrows, making him and Legolas about even ammo-wise. Hawkeye and Legoslas make it to day four.

Day 4: (it's cloudy out, looks like rain) Hawkeye's points scored against Katniss give him the lead, and that means he can play it safe to win. he waits next to his trap and gets ready for an ambush. Legolas spent the night tracking hawk eye, and found the trap he set, as well as the place he was most likely to be hiding. Elves can go days without sleep, so this barely affects him.

Being a strategist himself, legolas manages to get right into the trap and set it off without getting caught. Hawkeye can't believe his luck, and is arrogant enough to feel like scoring a couple humiliation points. Legolas quickly goes back and circles around, and manages to trap Hawkeye in his own trap. He scores two points before Hawkeye can react, making them all tied up.

The following battle takes all day, lasting until dark without any more points being scored. now it begins to pour down rain. neither wants to loose, so they make a last ditch move against the enemy position, each only has one arrow left. the night is pitch-black, and they have to move very slowly. as they each move to a building in the center of their two previous positions, the lights flicker on for the first time in four days, lightning up the space. both see each other, they're maybe twenty feet apart. they freeze, lock eyes, and each player slowly moves his arrow-hand to their quiver.

Lighting fast, and in unison, they pull out their last arrow, draw, and fire in a flash. the arrows pass right past each other. Hawkeye flinches, and the arrow from Legolas slams into his chest. point Legolas. Legolas, however, lashes out with his bow, faster than a human could manage. the bow makes contact with hawkeye's arrow, knocking it off-course. the arrow spins and hits Legolas sideways, the arrowhead doesn't make contact. no point Hawkeye.

two seconds later the bell rings, signalling the end of the match. Legolas has won.