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Peer Disagreement and Independence Preservation

Wagner, Carl (2009) Peer Disagreement and Independence Preservation. In: UNSPECIFIED.

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It has often been recommended that the differing probability distributions of a group of experts should be reconciled in such a way as to preserve any agreement on the stochastic independence of events. When probability pooling is conceived in analogy with the multi-profile social welfare theory of Arrow, 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 by means of some type of averaging function, universal preservation of independence is, with a few exceptions, impossible. As an alternative, we consider here probability pooling conceived in analogy with the single profile social welfare theory of Bergson and Samuelson, and we describe several methods of preserving common instances of epistemically significant independence in this framework.

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Item Type: Conference or Workshop Item (UNSPECIFIED)
Wagner, Carl
Additional Information: The original paper submitted to EPSA 2009 listed both Shattuck and Wagner as co-authors. But the talk presented was based exclusively on Wagner's work, and the paper deposited in PhilSci Archives has only Wagner listed as an author. Shattuck and Wagner have submitted a paper based on their joint work to Aequationes Mathematicae.
Keywords: epistemology of disagreement, epistemic peer, independence preservation, pooling operator
Subjects: General Issues > Decision Theory
Depositing User: Carl Wagner
Date Deposited: 15 Mar 2010
Last Modified: 07 Oct 2010 15:18
Item ID: 5024
Subjects: General Issues > Decision Theory
Date: 2009

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