 Judgment Aggregation By Quota RulesFranz Dietrich and Christian List Journal of Theoretical Politics, 2007, vol. 19, issue 4, 391-424 Abstract: The widely discussed `discursive dilemma' shows that majority voting in a group of individuals on logically connected propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds a given threshold, where different 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, which ensure collective rationality by adjudicating propositions sequentially and letting earlier judgments constrain later ones. Sequential rules may be path dependent and strategically manipulable. We characterize path independence and prove its essential equivalence to strategy proofness. Our results shed light on the rationality of simple-, super-, and sub-majoritarian decision making. Keywords: collective rationality; judgment aggregation; path dependence; quota rules; simple-; super- and sub-majority voting; strategy proofness (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:sae:jothpo:v:19:y:2007:i:4:p:391-424 Access Statistics for this article More articles in Journal of Theoretical Politics |
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