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Independent opinions? On the causal foundations of belief formation and jury theorems

Abstract : It is often claimed that opinions are more likely to be correct if they are held independently by many individuals. But what does it mean to hold independent opinions? To clarify this condition, we distinguish four notions of probabilistic opinion independence. Which notion applies depends on environmental factors such as commonly perceived evidence, or, more formally, on the causal network in which people interact and form their opinions. In a general theorem, we identify conditions on this network that guarantee opinion independence in each sense. Our results have implications for 'wisdom of crowds' arguments, as we illustrate by providing old and new jury theorems.
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https://halshs.archives-ouvertes.fr/halshs-00978016
Contributor : Franz Dietrich <>
Submitted on : Friday, April 11, 2014 - 9:22:14 PM
Last modification on : Tuesday, November 17, 2020 - 11:18:13 AM

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Franz Dietrich, Kai Spiekermann. Independent opinions? On the causal foundations of belief formation and jury theorems. Mind, Oxford University Press (OUP), 2013, 122, pp.655-685. ⟨10.1093/mind/fzt074⟩. ⟨halshs-00978016⟩

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