Condorcet jury theorem: The dependent case. Center for the Study of Rationality Discussion Paper No

We provide an extension of the Condorcet Theorem. Our model includes both the Nitzan-Paroush framework of “unequal competencies ” and Ladha’s model of “corre-lated voting by the jurors”. We assume that the jurors behave “informatively”, that is, they do not make a strategic use of their information in voting. Formally, we consider a sequence of binary random variables X = (X1,X2,...,Xn,...) with range in {0,1} and a joint probability distribution P. The pair (X,P) is said to satisfy the Condorcet Jury Theorem (CJT) if limn→ ∞ P Σni=1Xi&gt