Interval Aggregation

I propose a model of aggregation of intervals relevant in two contexts: the study of legislative delegation and the study of legal standards of behavior. Six axioms: responsiveness, anonymity, continuity, strategyproofness, and two variants of neutrality are then used to prove several important results about a new class of aggregation methods called endpoint rules. The class of endpoint rules ranges from extreme tolerance at one end (allowing anything permitted by anyone) to a form of majoritarianism (the median rule), at the other.