Probabilistic opinion pooling generalised -- Part two: The premise-based approach

Social Choice and Welfare 48:787–814 (2017)
Download Edit this record How to cite View on PhilPapers
How can different individuals' probability functions on a given sigma-algebra of events be aggregated into a collective probability function? Classic approaches to this problem often require 'event-wise independence': the collective probability for each event should depend only on the individuals' probabilities for that event. In practice, however, some events may be 'basic' and others 'derivative', so that it makes sense first to aggregate the probabilities for the former and then to let these constrain the probabilities for the latter. We formalize this idea by introducing a 'premise-based' approach to probabilistic opinon pooling, and show that, under a variety of assumptions, it leads to linear or neutral opinion pooling on the 'premises'. This paper is the second of two self-contained, but technically related companion papers inspired by binary judgment-aggregation theory.
PhilPapers/Archive ID
Revision history
Archival date: 2017-04-30
View upload history
References found in this work BETA
Probabilistic Opinion Pooling.Franz Dietrich & Christian List - 2016 - In A. Hajek & C. Hitchcock (eds.), Oxford Handbook of Philosophy and Probability. Oxford: Oxford University Press.
Arrow's Theorem in Judgment Aggregation.Dietrich, Franz & List, Christian

View all 20 references / Add more references

Citations of this work BETA

Add more citations

Added to PP index

Total views
112 ( #24,366 of 42,199 )

Recent downloads (6 months)
11 ( #35,931 of 42,199 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.