Problem

Conduct your own election using a preferential ballot. Create a ballot listing five cand...

Conduct your own election using a preferential ballot. Create a ballot listing five candidates in an upcoming election such as five professors on campus, five television programs, or five candy bars. Suppose you hold a candy bar election, for example. Create ballots, such as the following, that allow the “candidates” to be ranked by the voters.

a. Collect votes from at least 30 people and summarize your results in a preference table.

b. Which candidate wins under the Borda count method?

c. Which candidate wins under the plurality method?

d. Which candidate wins under the plurality with elimination method?

e. Which candidate wins under the pairwise comparison method?

f. Can you find any violations of the fairness criteria using any of the four methods? Justify your claims.

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