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Players one, two, and three simultaneously and independently choose integers from S, = (5, 6, 7, 8, 9]. If the sum of the three integers

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Players one, two, and three simultaneously and independently choose integers from S, = (5, 6, 7, 8, 9]. If the sum of the three integers is at least 17, each player receives a payoff of 200 minus her choice. Otherwise, each player's payoff is O. Part A: Find B. Explain. Part B: Find R. Explain. Part C: Find all (pure strategy) Nash equilibria, Explain

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