Question 2. Suppose that, in an election with two candidates, there are six voters, 1, 2,...

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Question 2. Suppose that, in an election with two candidates, there are six voters, 1, 2, 3, 4, 5, and 6, who are all concerned with the same issue. Voter i has a single-peaked preference with a peak at policy position x. Assume that peaks are ordered as x1 < x2 < x3 < x < x5 < x6. Suppose also that voter i has i votes. (This is an example of weighted voting.) If two candidates are free to adopt any positions on the issue as their election platforms, which policy positions will the two candidates adopt as their campaign platforms? Question 2. Suppose that, in an election with two candidates, there are six voters, 1, 2, 3, 4, 5, and 6, who are all concerned with the same issue. Voter i has a single-peaked preference with a peak at policy position x. Assume that peaks are ordered as x1 < x2 < x3 < x < x5 < x6. Suppose also that voter i has i votes. (This is an example of weighted voting.) If two candidates are free to adopt any positions on the issue as their election platforms, which policy positions will the two candidates adopt as their campaign platforms?

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