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Emma, Tom and Rick are deliberating over which movie to watch.?

Emma prefers movie A to movie B and movie B to movie C. Tom prefers movie C to movie A and movie A to movie B. Rick prefers movie B to movie C and movie C to movie A. Does any individual among them have intransitive preferences? Now suppose that they decide to resort to pairwise majority voting to resolve the issue. According to pairwise majority voting and for any pair of movies x and y that belong to the set fA; B; Cg, if x gets more votes than y then x is collectively preferred to y. If applied to all possible pairs among the three alternatives, pairwise majority voting will deliver a ranking of the alternatives that re ects the opinions of the group. Which movie does this voting procedure select, that is, which movie lies at the top of the ranking that pairwise majority voting produces, given the preferences of Emma, Tom and Rick?
Answer:

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