In their foundational work, List and Pettit formalized the judgment aggregation framework and showed that the preference aggregation framework from social choice theory can be mapped into it, arguing that the reverse was not possible. We show that a natural extension of a graph-theoretic representation of the preference aggregation framework indeed allows us to embed also the judgment aggregation framework. Moreover, we show that many concepts from the two original frameworks match up under the new one, show that it is possible to detect “logical consistency” with graph-theoretical properties, and give a new nuanced comparison between the doctrinal paradox and the Condorcet paradox.

Towards a Unified Aggregation Framework for Preferences and Judgements

Settepanella S;
2021-01-01

Abstract

In their foundational work, List and Pettit formalized the judgment aggregation framework and showed that the preference aggregation framework from social choice theory can be mapped into it, arguing that the reverse was not possible. We show that a natural extension of a graph-theoretic representation of the preference aggregation framework indeed allows us to embed also the judgment aggregation framework. Moreover, we show that many concepts from the two original frameworks match up under the new one, show that it is possible to detect “logical consistency” with graph-theoretical properties, and give a new nuanced comparison between the doctrinal paradox and the Condorcet paradox.
18
21
44
https://link.springer.com/article/10.1007/s40844-021-00200-w
Marengo L; Settepanella S; Zhang Y
File in questo prodotto:
File Dimensione Formato  
Preferences_and_Judgements.pdf

Accesso aperto

Tipo di file: POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione 491.29 kB
Formato Adobe PDF
491.29 kB Adobe PDF Visualizza/Apri
2021_TowardsAUnifiedAggregationFram.pdf

Accesso riservato

Tipo di file: PDF EDITORIALE
Dimensione 1.62 MB
Formato Adobe PDF
1.62 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1843063
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact