Question 12.53

25. Suppose that the continuous distribution of voters’ ideal points is the bent solid line in the accompanying figure. (Note: This is a continuous distribution because the triangle under the bent solid line has area 1.) Assume that ’s policy position is 3 on the left-right continuum; it is denoted by the dashed line. If announces a policy position between 0 and 1, between 1 and 3, or between 3 and 4, explain which candidate wins the election. What is the median position? Describe which voters vote for if announces the median.

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25.

wins the election if she announces a position between 1 and 3, but loses if she announces positions between 0 and 1 or between 3 and 4. The median is 2. If announces the median position, then voters between 0 and 2.5 would vote for .