Dietrich, Franz and List, Christian (2017) Probabilistic opinion pooling generalised. Part two: the premise-based approach. Social Choice and Welfare.
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Abstract
How can several individuals’ probability functions on a given σ-algebra of events be aggregated into a collective probability function? Classic approaches to this problem usually 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 opinion pooling, and show that, under a variety of assumptions, it leads to linear or neutral opinion pooling on the ‘premises’.
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| Item Type: | Published Article or Volume | |||||||||
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| Keywords: | Probabilistic opinion pooling, judgment aggregation, subjective probability, premise-based aggregation | |||||||||
| Subjects: | General Issues > Decision Theory Specific Sciences > Economics Specific Sciences > Probability/Statistics |
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| Depositing User: | Christian List | |||||||||
| Date Deposited: | 11 Apr 2017 13:14 | |||||||||
| Last Modified: | 11 Apr 2017 13:14 | |||||||||
| Item ID: | 12983 | |||||||||
| Journal or Publication Title: | Social Choice and Welfare | |||||||||
| Official URL: | http://link.springer.com/article/10.1007/s00355-01... | |||||||||
| DOI or Unique Handle: | 10.1007/s00355-017-1035-y | |||||||||
| Subjects: | General Issues > Decision Theory Specific Sciences > Economics Specific Sciences > Probability/Statistics |
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| Date: | 2017 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/12983 |
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