propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept … thresholds may be used for different propositions. After characterizing quota rules, we prove necessary and sufficient conditions … on the required thresholds for various collective rationality requirements. We also consider sequential quota rules …

irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and … also consider sequential quota rules, which adjudicate propositions sequentially, letting earlier judgments constrain later … only if the number of individuals accepting it exceeds some (proposition-specific) threshold. After characterizing quota …