A Duel Between Three People Is Called a Truel

In a classic three-way standoff, who is most likely to survive: the expert marksman, the average shot, or the terrible novice? Game theory, the study of strategic decision-making, reveals a surprising answer. The weakest person in the conflict often has the highest probability of survival. This is because the two stronger participants logically identify each other as the greatest immediate threat. While they focus on eliminating their most skilled rival, the weakest party is often ignored, allowing them to wait until only one opponent remains.

This fascinating scenario, formally known as a 'truel,' highlights a core principle of strategy: the most powerful position is not always the most advantageous. The expert shooter faces a difficult choice. If they shoot the average opponent, the novice gets the next shot and will surely aim at the only remaining threat. If they shoot the novice, the average shooter will do the same. The expert's best move might even be to intentionally miss their first shot, forcing the other two to duel it out first. This counterintuitive logic has made the truel a popular thought experiment and a dramatic trope, famously depicted in the final cemetery scene of the film The Good, the Bad and the Ugly (Review).