A proof-theoretical view of collective rationality

In Proceedings of the 23rd International Joint Conference of Artificial Intelligence (IJCAI 2013) (2013)
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The impossibility results in judgement aggregation show a clash between fair aggregation procedures and rational collective outcomes. In this paper, we are interested in analysing the notion of rational outcome by proposing a proof-theoretical understanding of collective rationality. In particular, we use the analysis of proofs and inferences provided by linear logic in order to define a fine-grained notion of group reasoning that allows for studying collective rationality with respect to a number of logics. We analyse the well-known paradoxes in judgement aggregation and we pinpoint the reasoning steps that trigger the inconsistencies. Moreover, we extend the map of possibility and impossibility results in judgement aggregation by discussing the case of substructural logics. In particular, we show that there exist fragments of linear logic for which general possibility results can be obtained.



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Daniele Porello
Università degli Studi di Genova

Citations of this work

Logics for modelling collective attitudes.Daniele Porello - 2018 - Fundamenta Informaticae 158 (1-3):239-27.
Judgement aggregation in non-classical logics.Daniele Porello - 2017 - Journal of Applied Non-Classical Logics 27 (1-2):106-139.
Non-normal modalities in variants of linear logic.D. Porello & N. Troquard - 2015 - Journal of Applied Non-Classical Logics 25 (3):229-255.
Logic and Majority Voting.Ryo Takemura - 2021 - Journal of Philosophical Logic 51 (2):347-382.

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References found in this work

A generalised model of judgment aggregation.Franz Dietrich - 2007 - Social Choice and Welfare 4 (28):529-565.
Judgment aggregation: A survey.Christian List & Clemens Puppe - 2009 - In Christian List & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.

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