Based on the TV show, DeadMan Wonderland
https://en.wikipedia.org/wiki/Deadman_Wonderland
In a world where entertainment is sparse, prisoners are forced to to compete in death games in order to survive. You take on the role of a student and watch as those close to you are brutally murdered(although visuals will tastefully hide anything too bad), by a red clothed man with strange powers. As a final insult, after being shot and knocked out by his red bullets, you're then falsely accused of mass murder and must now become another prisoner competing in the games. Survive long enough to prove your case, or prove that no one should dare mess with you again with the strange red powers that increasingly becomes stronger within you, and the power eventually becomes obvious that you're using your blood to power it. Keep watch on your health as you progress. You can easily dispatch your foes if you use enough of your power, but may not have the strength to finish the levels.
To provide a difference from the tv show, you will be able to build your character's special power in a number of ways, rather than being locked to the show's main character. You choose how you want it to manifest, whether it be as bullets, swords, claws, explosive traps, barbed wires, shields, spears, poison, animals and so on.