{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"17b61213d46619e1715e5c8623ee1a39c19369f16aff40365a7ad8a1f8d92ec5","created":"2026-10-03T07:17:57Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"c796febc830f9923de7d5f0f2eeb3bb93fcfcd9b214f6d2c5aa0263fff30715d","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"bio.collective-behavior.consensus-informed-minority","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"In fish schools and bee swarms, a small fraction of informed members can steer the whole group to a target. How the needed fraction depends on group size, and how conflicting preferences are resolved, has had limited quantitative tests in natural groups.","posed_since":"2005","precise":"In self-propelled particle models with a fraction $p$ of informed individuals biased toward a target, group heading accuracy depends on $p$ and $N$, and the required $p$ decreases as $N$ grows (Couzin and co-workers, 2005); with two informed subgroups preferring targets at angle $\\theta$ apart, the group switches from averaging to choosing one target above a critical $\\theta$. Measure $p_c(N)$ and the critical angle in natural groups and compare with model predictions.","problem_ref":null,"references":"","settled_by":"Controlled experiments with trained or virtually informed individuals in groups of varying $N$ that measure $p_c(N)$ and the bifurcation angle.","status_note":"","title":"How groups reach consensus led by a few informed 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