Under the Maximal Culture condition, voter preference profiles are gen
erated in the following way: a positive integer L is specified and, fo
r each of the possible linear orders on the alternatives, the associat
ed number of voters is selected from a uniformly random distribution o
ver {0, 1, 2,..., L}. In this note, we provide an analytical represent
ation for the probability of Condorcet's paradox in three-alternative
elections under the Maximal Culture condition. (C) 1997 Elsevier Scien
ce S.A.