Erkenntnis 74 (2):277-288 (2011)
AbstractIt has often been recommended that the differing probability distributions of a group of experts should be reconciled in such a way as to preserve each instance of independence common to all of their distributions. When probability pooling is subject to a universal domain condition, along with state-wise aggregation, there are severe limitations on implementing this recommendation. In particular, when the individuals are epistemic peers whose probability assessments are to be accorded equal weight, universal preservation of independence is, with a few exceptions, impossible. Under more reasonable restrictions on pooling, however, there is a natural method of preserving the independence of any fixed finite family of countable partitions, and hence of any fixed finite family of discrete random variables
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References found in this work
Epistemology of Disagreement: The Good News.David Christensen - 2007 - Philosophical Review 116 (2):187-217.
Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference.Judea Pearl - 1988 - Morgan Kaufmann.
Peer Disagreement and Higher Order Evidence.Thomas Kelly - 2010 - In Alvin I. Goldman & Dennis Whitcomb (eds.), Social Epistemology: Essential Readings. Oxford University Press. pp. 183--217.
Citations of this work
Groupthink.Jeffrey Sanford Russell, John Hawthorne & Lara Buchak - 2015 - Philosophical Studies 172 (5):1287-1309.
Updating on the Credences of Others: Disagreement, Agreement, and Synergy.Kenny Easwaran, Luke Fenton-Glynn, Christopher Hitchcock & Joel D. Velasco - 2016 - Philosophers’ Imprint 16:1--39.
Realistic Opinion Aggregation: Lehrer-Wagner with a Finite Set of Opinion Values.R. Bradley & C. Wagner - 2012 - Episteme 9 (2):91-99.
An Impossibility Theorem for Allocation Aggregation.Carl Wagner & Mark Shattuck - 2014 - Journal of Philosophical Logic 43 (6):1173-1186.
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