EconPapers    
Economics at your fingertips  
 

Dynamically rational judgment aggregation

Franz Dietrich and Christian List
Additional contact information
Christian List: LMU - Ludwig Maximilian University [Munich]

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: Judgment-aggregation theory has always focused on the attainment of rational collective judgments. But so far, rationality has been understood in static terms: as "coherence" of judgments at a given time, understood as consistency, completeness, and/or deductive closure. By contrast, this paper discusses whether collective judgments can be dynamically rational, so that they change rationally in response to new information. Formally, a judgment aggregation rule is dynamically rational with respect to a given revision operator if, whenever all individuals revise their judgments in light of some information (a learnt proposition), then the new aggregate judgments are the old ones revised in light of this information, i.e., aggregation and revision commute. We prove a general impossibility theorem: if the propositions on the agenda are sufficiently interconnected, no judgment aggregation rule with standard properties is dynamically rational with respect to any revision operator satisfying some mild conditions (familiar from belief revision theory). Our theorem is the dynamic-rationality analogue of some well-known impossibility theorems for static rationality. We also explore how dynamic rationality might be achieved by relaxing some of the conditions on the aggregation rule and/or the revision operator.

Keywords: judgment aggregation; belief revision; static vs. dynamic rationality; premise-based rule (search for similar items in EconPapers)
Date: 2021-02
New Economics Papers: this item is included in nep-mic
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-03140090
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Published in 2021

Downloads: (external link)
https://halshs.archives-ouvertes.fr/halshs-03140090/document (application/pdf)

Related works:
Working Paper: Dynamically rational judgment aggregation (2021) Downloads
Working Paper: Dynamically rational judgment aggregation (2021) Downloads
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:hal:cesptp:halshs-03140090

Access Statistics for this paper

More papers in Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
Bibliographic data for series maintained by CCSD ().

 
Page updated 2021-06-30
Handle: RePEc:hal:cesptp:halshs-03140090