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Question: in a version of the game russian roulette made infamous...

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In a version of the game Russian roulette, made infamous in the movie The Deer Hunter, two players are faced with a six-shot pistol loaded with one bullet. The players ante $1000, and player I goes first. At each play of the game, a player has the option of putting an additional $1000 into the pot and passing, or spinning the chamber and firing (at his own head). If player I chooses the option of spinning and survives, then she passes the gun to player II, who has the same two options. If player l does not survive the shot, the game is over and Il gets the pot. If player I has chosen to fire and survives, she passes the gun to player I; if player Il chooses to fire and survives, the game is over and both players split the pot. If I fires and survives and then Il passes, both will split the pot. The effect of this is that Il will pay $500 to I. On the other hand, if I chooses to pass and II chooses to fire, then if Il survives, he takes the pot.2. Consider the Russian roulette example shown in class. What are the upper and loweir values of the game? Find a saddle point in pure strategies (if any).

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