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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 [ 1 ] and then proved independently by the philosopher Allan Gibbard in 1973 [ 2 ] and economist Mark Satterthwaite in 1975. [ 3 ]
A corollary of this theorem is the Gibbard–Satterthwaite theorem about voting rules. The key difference between the two theorems is that Gibbard–Satterthwaite applies only to ranked voting. Because of its broader scope, Gibbard's theorem makes no claim about whether voters need to reverse their ranking of candidates, only that their optimal ...
The Gibbard–Satterthwaite theorem implies that the only rule satisfying non-imposition (every alternative can be chosen) and strategyproofness when there are more than two candidates is the dictatorship mechanism. That is, a voter may be able to cast a ballot that misrepresents their preferences to obtain a result that is more favorable to ...
Gibbard's theorem shows that any strategyproof game form (i.e. one with a dominant strategy) with more than two outcomes is dictatorial. The Gibbard–Satterthwaite theorem is a special case showing that no deterministic voting system can be fully invulnerable to strategic voting in all circumstances, regardless of how others vote.
Download as PDF; Printable version; ... Edgeworth's limit theorem; Efficient envy-free division; ... Gibbard–Satterthwaite theorem; Gibbard's theorem; H.
It has been proven (Gibbard-Satterthwaite theorem, as extended) that every voting method (other than a dictatorship) can be manipulated to some extent by strategic voting. No voting method can be ...
The median voter theorem relates to ranked voting mechanisms, in which each agent reports his/her full ranking over alternatives. The theorem says that, if the agents' preferences are single-peaked, then every Condorcet method always selects the candidate preferred by the median voter (the candidate closest to the voter whose peak is the median ...
Karyn Hascal, The Healing Place’s president and CEO, said she would never allow Suboxone in her treatment program because her 12-step curriculum is “a drug-free model. There’s kind of a conflict between drug-free and Suboxone.” For policymakers, denying addicts the best scientifically proven treatment carries no political cost.