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Opinion Pooling and Bayesian Groups
I explore the aggregation of probabilistic beliefs from several perspectives.
Often, I aim for a 'Bayesian group', i.e., for aggregate beliefs that comply with Bayesianism, the standard rationality norm.
Falling short of a Bayesian group means violating a common working hypothesis in social science: the hypothesis that households, countries or other groups are rational agents in the same sense as individuals.
A methodological question is therefore at stake: is rational-choice theory only a theory of individual agents or also a theory of group agents?
A different goal (pursued with Christian List) is to extend opinion pooling theory to 'general agendas', by dropping the unrealistic assumption that the group cares about arbitrarily complex 'composite' events (i.e., all events of an algebra).
For instance, a committee of weather experts might form probabilities of 'wind' and of 'sunshine', but not of 'wind or sunshine', be it because this complex event is uninteresting or because members are unable to assess its probability.
Related Work
- The impossibility of non-manipulable probability aggregation (with C. List)
- Fully Bayesian Aggregation, Journal of Economic Theory 194: 105255, 2021
[preprint]
- A theory of Bayesian groups, Noûs 53: 708-736, 2019
[preprint]
- Introduction to the special issue 'Beliefs in Groups' of Theory and Decision (with W. Rabinowicz), Theory and Decision 85: 1-4, 2018
[preprint]
- Probabilistic opinion pooling generalized. Part one: general agendas (with C. List), Social Choice and Welfare 48: 747-786, 2017
- Probabilistic opinion pooling generalized. Part two: the premise-based approach (with C. List), Social Choice and Welfare 48: 787-814, 2017
- Probabilistic Opinion Pooling [a review] (with C. List). In: A. Hájek & C. Hitchcock (eds.), Oxford Handbook of Probability and Philosophy, Oxford University Press, 2016
[preprint]
- Bayesian group belief, Social Choice and Welfare 35(4): 595-626, 2010
[preprint]
- The aggregation of propositional attitudes: towards a general theory (with C. List), Oxford Studies in Epistemology 3: 215-234, 2010
[Corrigendum]
- General representation of epistemically optimal procedures, Social Choice and Welfare 26(2): 263-283, 2006
[preprint]
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