 To model group-dependence, the event \(R_{i}\) that an individual \(i\) is correct should be replaced by group-size-dependent correctness events \(R_{i,n}\) for all group sizes \(n\) such that \(n\geq i\) (i.e., such that the group includes \(i\)). An individual \(i\)’s competence, general or specific, becomes a group-size-dependent quantity, given by \(P(R_{i,n})\) or \(P(R_{i,n}|\mathbf{x})\), respectively. One might hypothesize that competence is an initially growing and subsequently falling function of \(n\), which therefore peaks at some “individually optimal” group size \(n_{i}\). If one replaces the ordinary assumption of group-independent judgments by the latter hypothesis, then the growing-reliability conclusion of jury theorems will still hold when restricted to group sizes \(n\) of at most the individual optimum \(n_{i}\) of each individual group member \(i=1,\ldots,n\). The collectively optimal group size can exceed the individual optima of all individuals \(i\), because the merits of drawing on many minds can outweigh individual competence losses. But the collective optimum can become finite, against the growing-reliability hypothesis.