Format du dépôt |
Fichier |
Type de dépôt |
Autre publication scientifique |
Titre |
en
Dynamically rational judgment aggregation
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Résumé |
en
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.
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Auteur(s)
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Franz Dietrich
1, 2, 3
, Christian List
4
1
CNRS -
Centre National de la Recherche Scientifique
( 441569 )
- France
2
CES -
Centre d'économie de la Sorbonne
( 15080 )
- Maison des Sciences Économiques - 106-112 Boulevard de l'Hôpital - 75647 Paris Cedex 13
- France
-
Université Paris 1 Panthéon-Sorbonne UMR8174 ( 7550 )
;
-
Centre National de la Recherche Scientifique UMR8174 ( 441569 )
3
PSE -
Paris School of Economics
( 301309 )
- 48 boulevard Jourdan 75014 Paris
- France
-
Université Paris 1 Panthéon-Sorbonne ( 7550 )
;
-
École normale supérieure - Paris ( 59704 )
;
-
Université Paris Sciences et Lettres ( 564132 )
;
-
École des hautes études en sciences sociales ( 99539 )
;
-
École des Ponts ParisTech ( 301545 )
;
-
Centre National de la Recherche Scientifique ( 441569 )
;
-
Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement ( 577435 )
4
LMU -
Ludwig Maximilian University [Munich] = Ludwig Maximilians Universität München
( 460393 )
- Professor-Huber-Platz 2, 80539 München, Allemagne
- Allemagne
|
Langue du document |
Anglais
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Nom de la revue |
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Vulgarisation |
Non
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Date de publication |
2021-02
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Description |
Documents de travail du Centre d'Economie de laSorbonne 2021.02 - ISSN : 1955-611X
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Commentaire |
Domaine(s) |
-
Sciences de l'Homme et Société/Economies et finances
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Sciences de l'Homme et Société/Gestion et management
-
Sciences de l'Homme et Société/Philosophie
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Mathématiques [math]/Logique [math.LO]
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Mots-clés (JEL) |
-
D - Microeconomics/D.D7 - Analysis of Collective Decision-Making/D.D7.D70 - General
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D - Microeconomics/D.D7 - Analysis of Collective Decision-Making/D.D7.D71 - Social Choice • Clubs • Committees • Associations
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Éditeur scientifique |
-
Centre d'Economie de la Sorbonne (CES - UMR 8174)
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Projet(s) ANR |
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Financement |
-
Franz Dietrich gratefully acknowledges support from the French National Research Agency through three grants (ANR-17-CE26-0003, ANR-16-FRAL-0010, and ANR-17-EURE-0001). Christian List gratefully acknowledges support from the London School of Economics through a research sabbatical in the autumn of 2020 and through his continuing affiliation as a visiting professor.
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Mots-clés |
en
judgment aggregation, belief revision, static vs. dynamic rationality, premise-based rule
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