Talk:Jury theorem

Proposed addition: generalized jury theorem under dependence

Disclosure: I am a co-author of the paper cited below and therefore have a conflict of interest. I am not proposing any claim about priority, novelty, or the relative importance of the result.

Suggested location: at the end of the section “Effect of an opinion leader”.

Suggested text:

“In a model with finitely many alternatives and approval voting, Karge et al. allow heterogeneous voter competences together with dependence induced by an opinion leader. Subject to an upper bound on the leader’s influence, the probability that the correct alternative wins converges to one as the number of voters grows. They also derive bounds on the group size required to attain a specified success probability.”

Reference:

Jonas Karge, Juliette-Michelle Burkhardt, Sebastian Rudolph, and Dominik Rusovac. “To Lead or to be Led: A Generalized Condorcet Jury Theorem under Dependence.” Proceedings of AAMAS 2024. doi:10.5555/3635637.3662953.

I would appreciate an independent editor’s assessment of whether this result warrants inclusion and, if so, whether the proposed placement and wording are appropriate. Blish wiki (talk) 20:20, 16 July 2026 (UTC)

Reply 18-JUL-2026

  Edit request declined  

• No page number was provided. Needless to say, the COI editor ought not expect the reviewer to read 8 pages of text in order to verify this claim.

Regards,  Spintendo  20:38, 18 July 2026 (UTC)

Thank you for pointing this out. The relevant passages are Definition 2 on p. 985 and Theorems 2–3 on p. 986. ~2026-40712-92 (talk) 19:43, 19 July 2026 (UTC)

Proposed addition to “Effect of an opinion leader”

Disclosure: I am a co-author of the paper cited below and therefore have a conflict of interest. I am not proposing any claim about the priority, novelty, or relative importance of the result.

Requested change: Add the following sentence at the end of Section 3.3, “Effect of an opinion leader”:

“More recently, Karge et al. proved Crowd Infallibility for an opinion-leader model with finitely many alternatives, approval voting, and heterogeneous voter competences, provided that the leader’s influence is bounded; they also bound the number of voters needed to attain a prescribed success probability.”

Pinpoint verification:

• The heterogeneous group-reliability assumption is given in Definition 2 on p. 985.
• The asymptotic result, including the restriction on the opinion leader’s influence, is Theorem 2 on p. 986.
• The finite group-size bounds are stated in Theorem 3 on p. 986.

I would appreciate an independent editor’s assessment of the proposed addition. ~2026-40712-92 (talk) 20:41, 19 July 2026 (UTC)

~2026-40712-92 (talk) 20:41, 19 July 2026 (UTC)