Two French aristocrats, Chevalier Chagrin and Marquis de Renard, fight a duel. Eachhas a pistol loaded with one bullet. They start 6 steps apart and walk toward eachother at the same pace, 1 step at a time. After each step, either may fire his gun. Whenone shoots, the probability of scoring a hit depends on the distance and the ability ofthe players. Chevalier Chagrin is better at shooting than Marquis de Renard. Below table shows the probability of scoring a hit given the step and the player. If one player fires and misses while the other has yet to fire, the walk must continue even though the bulletless one now faces certain death; this rule is dictated by the code of the aristocracy. Each gets a payoff of?1 if he himself is killed and 1 if the other is killed. If neither or both are killed, each gets 0.

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