Reliable Methods of Judgement Aggregation
Hartmann, Stephan; Pigozzi, Gabriella; Sprenger, Jan (2010), Reliable Methods of Judgement Aggregation, Journal of logic and computation, 20, 2, p. 603-617. http://dx.doi.org/10.1093/logcom/exp079
Type
Article accepté pour publication ou publiéDate
2010Journal name
Journal of logic and computationVolume
20Number
2Publisher
Oxford University Press
Pages
603-617
Publication identifier
Metadata
Show full item recordAbstract (EN)
The aggregation of consistent individual judgements on logically interconnected propositions into a collective judgement on the same propositions has recently drawn much attention. Seemingly reasonable aggregation procedures, such as propositionwise majority voting, cannot ensure an equally consistent collective conclusion. The literature on judgement aggregation refers to such a problem as the discursive dilemma. In this article we assume that the decision which the group is trying to reach is factually right or wrong. Hence, we address the question of how good various approaches are at selecting the right conclusion. We focus on two approaches: distance-based procedures and a Bayesian analysis. They correspond to group-internal and group external decision making, respectively. We compare those methods in a probabilistic model whose assumptions are subsequently relaxed. Our findings have two general implications for judgement aggregation problems: first, in a voting procedure, reasons should carry higher weight than the conclusion, and second, considering members of an advisory board to be highly competent is a better strategy than discounting their advice.Subjects / Keywords
Social choice; judgment aggregation; Bayesian analysis; distance-based procedures; majority fusion operatorRelated items
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