Planning stage: While planning his trip home at the bar, the decision maker is faced with a choice between “Continue; Continue” and “Exit”. Since he cannot distinguish between the two intersections, he cannot plan to “Exit” at the second intersection (he must plan the same behavior at both \(X\) and \(Y\)). Since “Exit” will lead to the worst outcome (with a payoff of 0), the optimal strategy is “Continue; Continue” with a guaranteed payoff of 1.