With three alternatives (A, B, C) in a society of three people ( (1,2,3)), find a ranking

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With three alternatives (A, B, C) in a society of three people ( \(1,2,3)\), find a ranking of the alternatives for each person such that majority voting, two alternatives at a time, results in A beating B, B beating \(\mathrm{C}\), and \(\mathrm{C}\) beating \(\mathrm{A}\). What does this show about pairwise majority voting?

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