The Gibbard-Satterthwaite theorem and related strategy-proofness results heavily intersect with median voting mechanisms, particularly within single-peaked preference domains where anonymous and strategy-proof rules are characterized as median rules.
The provided literature discusses social choice theory, strategy-proofness, and median-based voting rules under single-peaked and generalized single-peaked domains. Papers 1, 10, and 11 explicitly analyze strategy-proof social choice rules and link them to median-based mechanisms, supporting the claim.