I like how you made the red players super reckless at the beginning so that you have to give them the knife in order to even the playing field for a second, but now the knife is in the game and you have to manage it! It's a really cool idea.
If their "thought process" was displayed on where they want to go, that would be really cool. Like you could have them "plan out" their next 2 or 3 moves so you can see how different they will react if given the knife.
With a variety of maps, team behaviors, different weapons (like a paintball gun or something), larger(?) or smaller teams, different types of team players (like someone who just wants to run so they are extra fast) I think this has the potential for a really fun non-team management game!