If you want a dilemma, it must be inside the model, for example: a 10% of the buttons are miss wired, and the system register the oposite color
So if red wins, at least 10% die. If blue wins, everyone survives. Now you have a dilemma. Which button would you press?
PS: If a country has 20 cities and one of them has a big majority of red-pressers, is it moral to nuke it out of existence?