I read this idea for a game on cracked.com and i think its not that difficult, even if you don't want to use the whole island (which i think would be better since this mission wouldn't be team-based and the whole island is a little too big for that) you can put boundaries that may very well resemble hunger games (sudden fire when the player reaches certain zone)
Hunger Games, the...game?
"I really like the idea of Battle Royale: The Game. A game that's not long and not narrative-driven but totally randomized, so it takes only a few hours to finish the game, but every time you restart it's totally different. You get different weapons [and] tools and start in a different place on the island. It's like the way you never play two games of solitaire that are the same."
"You load the game and it's the dead of night and you have say ... a frying pan and a butcher's knife. A map, a torch, some health stuff, and nothing else. Maybe the other players are real-life online players. Maybe they're computerized. But you're on a huge expansive island with amazing detail, you can use anything as a weapon, or to lure people (maybe you could get firecrackers as a weapon to make noise) into certain locations. All you do is fight whoever you find, if they don't kill you first (randomized -- no person in the same place twice), gain their weapons, and the object is to be the last one left."
"Realistic health levels and spacing out of the action would build tension, the longer you play on it the more you'd want to finish it."
Read more: http://www.cracked.com/blog/the-7-best-ideas-video-games-that-will-never-get-made/#ixzz2O7t0UcvX
obviously due to alpha capabilities we would have to rely on firearms mostly but still there somethings that i believe could be implemented with creative thinking, hell, the players will figure out something cool eventually.
So, there is the idea, i just thought of the connection, in no way i'm capable of doing since i haven't even had a look at the editor from ArmA3, but if its anything like the one from ArmA 2 it can easily be done, and with some hard work it can look, feel and play very nice.