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2. (10 points) Consider the game of collective decision-making discussed in class: There is an odd number of citizens. Everyone proposes a policy, modeled as

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2. (10 points) Consider the game of collective decision-making discussed in class: There is an odd number of citizens. Everyone proposes a policy, modeled as a number, and the median policy proposal is implemented. Each citizen 1' has a favorite policy x: and prefers policies that are closer to his favorite. Show*that proposing your favorite policy weakly dominates proposing any lower policy x,-

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