Two remarks on the effect of increased equalitarianism in decisional skills on the number of individuals that maximizes group judgmental competence

Employing the symmetric uncertain dichotomous choice model, this paper is concerned with the effect of two types of changes in individual decisional competencies on the optimal collective decision rule and, in particular, on the optimal number of essential decision makers (individuals who are effectively involved in the decision-making process). The first change is simply a decrease in the decisional skills of some of the existing more competent essential decision makers. The second change is a rank and mean-preserving equalization of decisional skills. We show that the number of essential decision makers is not necessarily positively related to both of these changes. This surprising observation implies that a more egalitarian distribution of decisional skills may justify a reduction in the optimal number of individuals effectively participating in the collective decision-making process.