In the classical Condorcet jury model, different jurors votes are independent random variables, where each juror has the same probability p1/2 of voting for the correct alternative. The probability that the correct alternative will win under majority voting converges to 1 as the number of jurors...

In the classical Condorcet jury model, different jurors' votes are independent random variables, where each juror has the same probability p1/2 of voting for the correct alternative. The probability that the correct alternative will win under majority voting converges to 1 as the number of...

It is known that, in Condorcet’s classical model of jury decisions, the proportion of jurors supporting a decision is not a significant indicator of that decision’s reliability: the probability that a particular majority decision is correct given the size of the majority depends only on the...

Consider the hypothesis H that a defendant is guilty (a patient has condition C), and the evidence E that a majority of h out of n independent jurors (diagnostic tests) have voted for H and a minority of k:=n-h against H. How likely is the majority verdict to be correct? By a formula of...