Reaching a consensus

MH DeGroot - Journal of the American Statistical association, 1974 - Taylor & Francis
Consider a group of individuals who must act together as a team or committee, and suppose
that each individual in the group has his own subjective probability distribution for the …

A necessary and sufficient condition for reaching a consensus using DeGroot's method

RL Berger - Journal of the American Statistical Association, 1981 - Taylor & Francis
DeGroot (1974) proposed a model in which a group of k individuals might reach a
consensus on a common subjective probability distribution for an unknown parameter. This …

Marginalization and linear opinion pools

KJ McConway - Journal of the American Statistical Association, 1981 - Taylor & Francis
Suppose a decision maker has asked a group of experts to assess subjective probability
distributions over some space, and he wishes to find a consensus probability distribution as …

Consensus of opinion

S French - European Journal of Operational Research, 1981 - Elsevier
In a decision analysis, it is often necessary to combine a group of individuals' beliefs into a
consensus probability distribution. This paper addresses the question whether it is possible …

Combining probability distributions: A critique and an annotated bibliography

C Genest, JV Zidek - Statistical Science, 1986 - projecteuclid.org
This paper addresses the problem of aggregating a number of expert opinions which have
been expressed in some numerical form in order to reflect individual uncertainty vis-a-vis a …

The opinion pool

M Stone - The Annals of Mathematical Statistics, 1961 - JSTOR
When a group of k individuals is required to make a joint decision, it occasionally happens
that there is agreement on a utility function for the problem but that opinions differ on the …

A characterization theorem for externally Bayesian groups

C Genest - The Annals of Statistics, 1984 - JSTOR
A contribution is made to the problem of combining the subjective probability density
functions f1,⋯, fn of n individuals for some parameter θ. More precisely, the situation is …

Statistical methods for eliciting probability distributions

PH Garthwaite, JB Kadane… - Journal of the American …, 2005 - Taylor & Francis
Elicitation is a key task for subjectivist Bayesians. Although skeptics hold that elicitation
cannot (or perhaps should not) be done, in practice it brings statisticians closer to their …

The consensus of subjective probability distributions

RL Winkler - Management science, 1968 - pubsonline.informs.org
“'But we can't agree whether A or B is correct,'he concluded,'and so we're collecting expert
opinions, weighting them appropriately, and programming WESCAC to arbitrate the whole …

Methods for aggregating opinions

RM Hogarth - Decision Making and Change in Human Affairs …, 1977 - Springer
The purpose of this paper is to review models and methods for aggregating opinions. By the
word “opinion” is meant the expression of a person's belief concerning the outcome of an …