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On judgment aggregation in abstract argumentation

dc.contributor.authorPigozzi, Gabriella
dc.contributor.authorCaminada, Martin
dc.date.accessioned2011-07-04T12:16:47Z
dc.date.available2011-07-04T12:16:47Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6641
dc.language.isoenen
dc.subjectGroup decision makingen
dc.subjectArgumentationen
dc.subjectDiscursive dilemmaen
dc.subjectJudgment aggregationen
dc.subject.ddc003en
dc.titleOn judgment aggregation in abstract argumentationen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherIndividual and Collective Reasoning, Computer Science and Communication, University of Luxembourg;Luxembourg
dc.description.abstractenJudgment aggregation is a field in which individuals are required to vote for or against a certain decision (the conclusion) while providing reasons for their choice. The reasons and the conclusion are logically connected propositions. The problem is how a collective judgment on logically interconnected propositions can be defined from individual judgments on the same propositions. It turns out that, despite the fact that the individuals are logically consistent, the aggregation of their judgments may lead to an inconsistent group outcome, where the reasons do not support the conclusion. However, in this paper we claim that collective irrationality should not be the only worry of judgment aggregation. For example, judgment aggregation would not reject a consistent combination of reasons and conclusion that no member voted for. In our view this may not be a desirable solution. This motivates our research about when a social outcome is ‘compatible’ with the individuals’ judgments. The key notion that we want to capture is that any individual member has to be able to defend the collective decision. This is guaranteed when the group outcome is compatible with its members views. Judgment aggregation problems are usually studied using classical propositional logic. However, for our analysis we use an argumentation approach to judgment aggregation problems. Indeed the question of how individual evaluations can be combined into a collective one can also be addressed in abstract argumentation. We introduce three aggregation operators that satisfy the condition above, and we offer two definitions of compatibility. Not only does our proposal satisfy a good number of standard judgment aggregation postulates, but it also avoids the problem of individual members of a group having to become committed to a group judgment that is in conflict with their own individual positions.en
dc.relation.isversionofjnlnameAutonomous Agents and Multi-Agent Systems
dc.relation.isversionofjnlvol22en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages64-102en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10458-009-9116-7en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelRecherche opérationnelleen


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