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the claim

The Gibbard-Satterthwaite theorem applies to median voting mechanisms.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
3 sources for · 0 against

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Is it true that the Gibbard-Satterthwaite theorem applies to median voting mechanisms?

Yes. 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.

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked

The analysis

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.

Evidence for · 3
Characterization of Group-Fair Social Choice Rules under Single-Peaked Preferences
2022
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Sreedurga, G., Sadhukhan, S., Roy, S., & Narahari, Y. (2022). Characterization of Group-Fair Social Choice Rules under Single-Peaked Preferences. doi.org. https://doi.org/10.48550/arXiv.2207.07984

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More for · 2
Anonymity and strategy-proofness on a domain of single-peaked and single-dipped preferences
2024
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Gallo, O. (2024). Anonymity and strategy-proofness on a domain of single-peaked and single-dipped preferences..

Optimal Voting Mechanisms on Generalized Single-Peaked Domains
2025
Get citation
Rachidi, T. (2025). Optimal Voting Mechanisms on Generalized Single-Peaked Domains. doi.org. https://doi.org/10.1257/mic.20220133

Receipt History
first checked04 Aug 2026
judged → SUPPORTED · 7904 Aug 2026
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