According to the Gibbard-Satterthwaite theorem, when a single outcome is to be chosen from more than two alternatives, the only voting rule that cannot be manipulated is

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The Gibbard-Satterthwaite theorem states that any non-dictatorial voting system with at least three alternatives can be manipulated by at least one voter. Therefore, the only voting rule that cannot be manipulated is a dictatorial one, where a single individual's preferences always determine the outcome. The Borda count method and the majority rule can both be manipulated by strategic voting.

According to the Gibbard-Satterthwaite Theorem, When a Single Outcome Is