I propose a model of aggregation of intervals relevant to the study of legal standards of tolerance. Using this model, I introduce the family of endpoint rules, which aggregate intervals according to the p-th lowest lower endpoint and the q-th highest upper endpoint. This family includes extreme tolerance (allowing anything permitted by anyone) and a form of majoritarianism (the median rule). I show that the family of endpoint rules is characterized by both the combination of anonymity, responsiveness, continuity, and ordinal neutrality, and the combination of anonymity, strategyproofness, and translation equivariance.

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