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Why is "Gibbard–Satterthwaite theorem" trending?

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  • Date: 2026-04-21 17:36:08

This topic has appeared in the trending rankings 1 time(s) in the past year. While it does not trend frequently, its appearance suggests a renewed or concentrated surge of public interest.

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Wikipedia Overview

The Gibbard–Satterthwaite theorem is a theorem in social choice theory. It was first conjectured by the philosopher Michael Dummett and the mathematician Robin Farquharson in 1961 and then proved independently by the philosopher Allan Gibbard in 1973 and economist Mark Satterthwaite in 1975. It deals with deterministic ordinal electoral systems that choose a single winner, and shows that for every voting rule of this form, at least 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 not straightforward, i.e. there is no single always-best strategy.

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