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...

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Bibliographic Details
Published inFundamenta informaticae Vol. 158; no. 1-3; pp. 239 - 275
Main Author Porello, Daniele
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2018
Sage Publications Ltd
Subjects
Agglomeration
Attitudes
Irrationality
Modelling
Social Choice Theory
Judgment Aggregation
Collective Propositional Attitudes
Substructural Logics
Collective Rationality
Group Agency
Majority rule
Non-Normal Modal Logics
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Summary: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.
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ISSN:0169-2968
1875-8681
DOI:10.3233/FI-2018-1648