Dolph comes 2nd in charge and his card set up says to eliminate all thw remaining hostages.Not sure if you are missing any rules, but it seems that in this case you should not kill the primary hostage taker when losing all remaining hostages will lose you the game
But killing more than the half of the hostages automaticaly makes you lose the game.....
What am I missing?
I.e.: Change your strategy to accommodate the special rules.