Here's my take on Hunger Games. Keep in mind that I'm not only saying this because I’m one of those people who this happens to, I just think it would be fair this way.
Hunger Games are skill and strategic based. Challenges = skill, strategic = arrows/alliances.
I think that nobody should start off with any arrows unless you get sponsored 5 of them. Let's put it this way. Katniss didn't start off with any arrows; she had to fight for them. So the fact of the matter is, why should we start off with arrows when they're pretty much weapons and we have to fight for those..
Also, the whole xp circle thing, there's rly nothing anyone can do about that, so it's whatever. But the fact that you can't get any xp from someone who you ran away from or they ran from you is kinda pointless. I think you should get xp from someone from your first fight you have with them regardless of if you or they ran from you at first. It does help with the whole xp circles because you'll be able to get more xp out of it, but I still think you should.
Popups. I think that it should be the same with the whole poisons and stuff and one thing randomly there, but I think that it should be a parachute that has either 3 arrows, 5 or 10 health, and maybe a knife or ax.
All these improvements would prove a great equalizer to the game, Randomize. Think about it :)