Two candidates, A and B, vie for office. Each of an odd number of citizens may vote for either candidate. (Abstention is not possible.) The candidate who obtains the most votes wins. (Because the number of citizens is odd, a tie is impossible.) A majority of citizens prefer A to win over B to win. Show that a citizen’s voting for her less preferred candidate is weakly dominated by her voting for her favorite candidate.

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A dominates B in the sense that more people ... View the full answer