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# 3 Median voter theorem Assume that people are uniformly distributed on the line from 0 to 1 in the order of their preferences.

3 Median voter theorem

Assume that people are uniformly distributed on the line from 0 to 1 in the order of their preferences. There are two candidates choosing their positions, c1 and c2, respectively, and people will vote for the candidate that is close to them

- Given c1 = 0, what is the optimal c2?
- Given c1 = 0.2, what is the optimal c2?
- Given c1 = 0.8, what is the optimal c2?
- Given c1 = 0.5, what is the optimal c2?