Given a model of preferences, what choice data or experiment is sufficient to definitively test whether a subject is consistent with the model or to classify them into some “type” within the model? We characterize all experiments that test or classify a given model using a novel graph-theoretic construction: the labeled permutohedron. We show how these results can be used to identify the smallest experiments that achieve a particular goal.
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Healy et al. (2026) studied this question.
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