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This is an example of a constant-sum game since each pair of entries in the game theory table sums to 1. This can be analyzed

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This is an example of a constant-sum game since each pair of entries in the game theory table sums to 1. This can be analyzed in the same manner as a zero-sum game. (a) Use dominance to reduce the game to a 22 game. Which strategies are dominated? Shooter: Center and Keeper: Left Shooter: Left and Keeper: Right Shooter: Right and Keeper: Center Shooter: Center and Keeper: Center Shooter: Right and Keeper: Left (b) What is the solution to this game for the shooter and for the keeper? (Enter None into the answers blanks corresponding to the dominated strategies. Round your ans What is the solution for the shooter? choose left with probability choose center with probability choose right with probability What is the solution for the keeper? choose left with probability choose center with probability choose right with probability (c) What is the shooter's expected probability of scoring? (Round your answer to three decimal places.) This is an example of a constant-sum game since each pair of entries in the game theory table sums to 1. This can be analyzed in the same manner as a zero-sum game. (a) Use dominance to reduce the game to a 22 game. Which strategies are dominated? Shooter: Center and Keeper: Left Shooter: Left and Keeper: Right Shooter: Right and Keeper: Center Shooter: Center and Keeper: Center Shooter: Right and Keeper: Left (b) What is the solution to this game for the shooter and for the keeper? (Enter None into the answers blanks corresponding to the dominated strategies. Round your ans What is the solution for the shooter? choose left with probability choose center with probability choose right with probability What is the solution for the keeper? choose left with probability choose center with probability choose right with probability (c) What is the shooter's expected probability of scoring? (Round your answer to three decimal places.)

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