Richard_Kennaway comments on Asch's Conformity Experiment - Less Wrong
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In terms of individual rationality, I hope I would notice my own severe confusion and then assign >50% probability to the majority vote.
Noticing your own severe confusion should lead to investigating the reasons for the disagreement, not to immediately going along with the majority. Honest Bayesians cannot agree to agree either. They must go through the process of sharing their information, not just their conclusions.