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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| Published in | Fundamenta informaticae Vol. 158; no. 1-3; pp. 239 - 275 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
London, England
SAGE Publications
01.01.2018
Sage Publications Ltd |
| Subjects | |
| Online Access | Get full text |
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| 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. |
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| AbstractList | 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. |
| Author | Porello, Daniele |
| Author_xml | – sequence: 1 givenname: Daniele surname: Porello fullname: Porello, Daniele email: danieleporello@gmail.com organization: , Piazza Domenicani 3, 39100, Bolzano |
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| Copyright | 2018 – IOS Press and the authors. All rights reserved Copyright IOS Press BV 2018 |
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| DOI | 10.3233/FI-2018-1648 |
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| Keywords | Social Choice Theory Judgment Aggregation Collective Propositional Attitudes Substructural Logics Collective Rationality Group Agency Majority rule Non-Normal Modal Logics |
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| Title | Logics for Modelling Collective Attitudes |
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