Problem

In the Bucklin method, all the first-place votes are counted. If one candidate receives...

In the Bucklin method, all the first-place votes are counted. If one candidate receives a majority, he or she wins. If no candidate has a majority, then the first- and second-place votes for each candidate are counted. If no candidate has a majority, then the first-, second-, and third-place votes are counted. This process is continued until a majority winner is found. If more than one candidate has a majority in a round, the winner is the candidate with the greatest total. Consider the following preference table.

a. Which candidate wins under the Bucklin method?

b. Determine whether the Bucklin method violates the monotonicity criterion in this case. Justify your response.

c. Determine whether the Bucklin method violates the head-to-head criterion in this case. Justify your response.

d. Determine whether the Bucklin method violates the majority criterion in this case. Justify your response.

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