Affiliations: Free University of Bozen-Bolzano, Piazza Domenicani 3, 39100, Bolzano, Italy. danieleporello@gmail.com
Correspondence:
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Address for correspondence: Free University of Bozen-Bolzano, Piazza Domenicani 3, 39100, Bolzano, Italy
Abstract: 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.
Keywords: Collective Propositional Attitudes, Group Agency, Substructural Logics, Non-Normal Modal Logics, Collective Rationality, Majority rule, Judgment Aggregation, Social Choice Theory
