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Gibbard–Satterthwaite theorem

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In social choice theory, the Gibbard–Satterthwaite theorem is a result published independently by philosopher Allan Gibbard in 1973 and economist Mark Satterthwaite in 1975. It deals with deterministic ordinal electoral systems that choose a single winner. It states that for every voting rule, one of the following three things must hold:The rule is dictatorial, i.e. there exists a distinguished voter who can choose the winner; or The rule limits the possible outcomes to two alternatives only; or The rule is susceptible to tactical voting: in certain conditions some voter's sincere ballot may not defend their opinion best.
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