Judgment Aggregation Theory Can Entail New Social Choice Results

François Maniquet (1) , Philippe Mongin (2)

1 CORE - Center of Operation Research and Econometrics [Louvain]
2 GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC

Judgment (or logical) aggregation theory is logically more powerful than social choice theory and has been put to use to recover some classic results of this field. Whether it could also enrich it with genuinely new results is still controversial. To support a positive answer, we prove a social choice theorem by using the advanced nonbinary form of judgment aggregation theory developed by Dokow and Holzman (2010c). This application involves aggregating classifications (specifically assignments) instead of preferences, and this focus justifies shifting away from the binary framework of standard judgement aggregation theory to a more general one.

Keywords: Social choice; Judgment aggregation; Logical aggregation; Aggregation of classifications; Assignments; Nonbinary evaluations

Domains: Humanities and Social Sciences; Business administration

François Maniquet, Philippe Mongin. Judgment Aggregation Theory Can Entail New Social Choice Results. 2014. ⟨hal-02018546⟩