Logics for Modelling Collective Attitudes

We introduce a number of logics to reason about collective propositional attitudes that are defined by means of the majority rule. It is well known that majoritarian aggregation is subject to irrationality, as the results in social choice theory and judgment aggregation show. The proposed logics for modelling collective attitudes are based on a substructural propositional logic that allows for circumventing inconsistent outcomes. Individual and collective propositional attitudes, such as beliefs, desires, obligations, are then modelled by means of minimal modalities to ensure a number of basic principles. In this way, a viable consistent modelling of collective attitudes is obtained.

Publication type: 
Articolo
Author or Creator: 
Porello
Daniele
Publisher: 
North-Holland, Amsterdam , Paesi Bassi
Source: 
Fundamenta informaticae 158 (2018): 239–275. doi:10.3233/FI-2018-1648
info:cnr-pdr/source/autori:Porello, Daniele/titolo:Logics for Modelling Collective Attitudes/doi:10.3233/FI-2018-1648/rivista:Fundamenta informaticae/anno:2018/pagina_da:239/pagina_a:275/intervallo_pagine:239–275/volume:158
Date: 
2018
Resource Identifier: 
http://www.cnr.it/prodotto/i/401599
https://dx.doi.org/10.3233/FI-2018-1648
info:doi:10.3233/FI-2018-1648
Language: 
Eng
ISTC Author: 
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