Trade-off between manipulability and dictatorial power: a proof of the Gibbard-Satterthwaite Theorem (2306.04587v2)

Abstract: By endowing the class of tops-only and efficient social choice rules with a dual order structure that exploits the trade-off between different degrees of manipulability and dictatorial power rules allow agents to have, we provide a proof of the Gibbard-Satterthwaite Theorem.