The performance of majority vote by an odd number of voters in a dicho
tomous situation is a much-studied subject. In this paper, we study th
e performance of group consensus in a situation of polychotomous choic
e. The differences in majority vote behaviour between even and odd num
bers of expert panellists are examined, and the effects of adding new
members are derived. Unlike the dichotomous model, optimality in the p
resent context may not be uniquely defined, so the probabilities of th
e consensus being ''correct'' or ''erroneous'' are both considered as
the number of experts is increased.