Judgment aggregation by quota rules

Franz Dietrich and Christian List

Public Economics from University Library of Munich, Germany

Abstract: It is known that majority voting among several individuals on logically interconnected propositions may generate 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 some (proposition-specific) threshold. After characterizing quota rules, we prove necessary and sufficient conditions under which their outcomes satisfy various rationality conditions. We also consider sequential quota rules, which adjudicate propositions sequentially, letting earlier judgments constrain later ones. While ensuring rationality, sequential rules may be path-dependent. We characterize path-independence and prove its equivalence to strategy- proofness under mild conditions. Our results generalize earlier (im)possibility theorems.

Keywords: Judgment aggregation; quota rules; collective rationality; path-dependence; strategy-proofness; formal logic (search for similar items in EconPapers)
JEL-codes: D70 D71 D79 (search for similar items in EconPapers)
Pages: 22 pages
Date: 2005-01-18
New Economics Papers: this item is included in nep-cdm and nep-pol
Note: Type of Document - pdf; pages: 22
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (15)

Downloads: (external link)
https://econwpa.ub.uni-muenchen.de/econ-wp/pe/papers/0501/0501005.pdf (application/pdf)

Related works:
Journal Article: Judgment Aggregation By Quota Rules (2007)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwppe:0501005

Access Statistics for this paper

More papers in Public Economics from University Library of Munich, Germany
Bibliographic data for series maintained by EconWPA ( this e-mail address is bad, please contact ).