Gibbard-Satterthwaite theorem
Gibbard-Satterthwaite theorem proper noun: a theorem dealing with deterministic ordinal electoral systems that choose a single winner, stating that for every voting rule, one of the following three things must hold: (i) the rule is dictatorial, i.e. there exists a distinguished voter who can choose the winner; or (ii) the rule limits the possible outcomes to two alternatives only; or (iii) the rule is susceptible to tactical voting: in certain conditions some voter's sincere ballot may not defend their opinion best.
Proper noun
the Gibbard-Satterthwaite theorem
- A theorem dealing with deterministic ordinal electoral systems that choose a single winner, stating that for every voting rule, one of the following three things must hold: (i) the rule is dictatorial, i.e. there exists a distinguished voter who can choose the winner; or (ii) the rule limits the possible outcomes to two alternatives only; or (iii) the rule is susceptible to tactical voting: in certain conditions some voter's sincere ballot may not defend their opinion best.
Origin of Gibbard-Satterthwaite theorem
Published independently by philosopher Allan Gibbard in 1973 and economist Mark Satterthwaite in 1975.
Questions about Gibbard-Satterthwaite theorem
- What does Gibbard-Satterthwaite theorem mean?
- Gibbard-Satterthwaite theorem means a theorem dealing with deterministic ordinal electoral systems that choose a single winner, stating that for every voting rule, one of the following three things must hold: (i) the rule is dictatorial, i.e. there exists a distinguished voter who can choose the winner; or (ii) the rule limits the possible outcomes to two alternatives only; or (iii) the rule is susceptible to tactical voting: in certain conditions some voter's sincere ballot may not defend their opinion best.
- What part of speech is Gibbard-Satterthwaite theorem?
- Gibbard-Satterthwaite theorem is a proper noun.
Words near Gibbard-Satterthwaite theorem in the dictionary
Source and license
Adapted from Wiktionary: Gibbard-Satterthwaite theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “Gibbard-Satterthwaite theorem.” Word.ws, https://word.ws/gibbard-satterthwaite_theorem. Based on Wiktionary, CC BY-SA 4.0.
