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Three gangsters armed along with the pistols, Al, Bob, and Curly, are in the room with the suitcase of money. Al, Bob, and Curly have 20%, 40% and 70% chances of the killing their target, respectively. Each has one bullet. First Al shoots targeting one of the other two gangsters. After Al, if alive, Bob shoots, targeting one of the surviving gangsters. Finally, if alive, Curly shoots, targeting again one of the surviving gangsters. The survivors split the money equally. Determine a sub game-perfect equilibrium.

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