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**Group consensus probability distributions: A critical survey.**
*(English)*
Zbl 0671.62010

Bayesian statistics 2, Proc. 2nd Int. Meet., Valencia/Spain 1983, 183-202 (1985).

Summary: [For the entire collection see Zbl 0659.00012.]

The formation of a group consensus probability distribution from the beliefs of its members has attracted much attention in the literature. Several procedures have been proposed, some on pragmatic grounds, others justified axiomatically. More fundamentally, the feasibility and desirability of such procedures have been discussed and several impossibility theorems proved. This paper surveys these contributions with particular regard to the context: why is such a consensus distribution needed.

The formation of a group consensus probability distribution from the beliefs of its members has attracted much attention in the literature. Several procedures have been proposed, some on pragmatic grounds, others justified axiomatically. More fundamentally, the feasibility and desirability of such procedures have been discussed and several impossibility theorems proved. This paper surveys these contributions with particular regard to the context: why is such a consensus distribution needed.

### MSC:

62C10 | Bayesian problems; characterization of Bayes procedures |

62A01 | Foundations and philosophical topics in statistics |