The Hunger Games is a minigame which MeepCraft used to host. It was replaced by Skywars, in a futile attempt to draw in more players, which also doesn't exist anymore.
The game started off with the opponents circling the cornucopia, a large collection of chests filled with various weapons and armor. The players would quickly run in, loot the cornucopia, then run off trying to find more loot chests to become more powerful. The players would eventually kill each other off and the winner was whoever survived to the end.
Meepcraft no longer sports the Hunger Games.