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A distribution of voters is uniform over [0, 1]. Candidates A and B have already entered the election and have chosen positions at 1/4 and 3/4, respectively.
-If C enters at 1/3, who receives a plurality?

Question

Quizplus · Accepted Answer

If C enters at 1/3, and the voters are uniformly distributed between 0 and 1, then C will receive votes from the interval (1/4, 1/3) and (1/3, 3/4).

A will receive votes from the interval (0, 1/4).

B will receive votes from the interval (3/4, 1).

Therefore, the candidate with the most votes will be B.

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